TSTP Solution File: SEU598^2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEU598^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n016.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 12:13:14 EDT 2022

% Result   : Theorem 0.21s 0.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   78 (  46 unt;  11 typ;   5 def)
%            Number of atoms       :  368 ( 114 equ;   0 cnn)
%            Maximal formula atoms :    7 (   5 avg)
%            Number of connectives :  597 (  78   ~;  71   |;   4   &; 400   @)
%                                         (   0 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  149 (   0   ^ 149   !;   0   ?; 149   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_binintersect,type,
    binintersect: $i > $i > $i ).

thf(tp_binintersectI,type,
    binintersectI: $o ).

thf(tp_binintersectRsub,type,
    binintersectRsub: $o ).

thf(tp_in,type,
    in: $i > $i > $o ).

thf(tp_sK1_A,type,
    sK1_A: $i ).

thf(tp_sK2_SY17,type,
    sK2_SY17: $i ).

thf(tp_sK3_Xx,type,
    sK3_Xx: $i > $i > $i ).

thf(tp_setextsub,type,
    setextsub: $o ).

thf(tp_subset,type,
    subset: $i > $i > $o ).

thf(tp_subsetE,type,
    subsetE: $o ).

thf(tp_subsetI1,type,
    subsetI1: $o ).

thf(binintersectI,definition,
    ( binintersectI
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ( in @ Xx @ B )
           => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectI) ).

thf(binintersectRsub,definition,
    ( binintersectRsub
    = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectRsub) ).

thf(setextsub,definition,
    ( setextsub
    = ( ! [A: $i,B: $i] :
          ( ( subset @ A @ B )
         => ( ( subset @ B @ A )
           => ( A = B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub) ).

thf(subsetE,definition,
    ( subsetE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( subset @ A @ B )
         => ( ( in @ Xx @ A )
           => ( in @ Xx @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetE) ).

thf(subsetI1,definition,
    ( subsetI1
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI1) ).

thf(1,conjecture,
    ( subsetI1
   => ( subsetE
     => ( setextsub
       => ( binintersectI
         => ( binintersectRsub
           => ! [A: $i,B: $i] :
                ( ( subset @ B @ A )
               => ( ( binintersect @ A @ B )
                  = B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset4) ).

thf(2,negated_conjecture,
    ( ( subsetI1
     => ( subsetE
       => ( setextsub
         => ( binintersectI
           => ( binintersectRsub
             => ! [A: $i,B: $i] :
                  ( ( subset @ B @ A )
                 => ( ( binintersect @ A @ B )
                    = B ) ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) )
     => ( ! [A: $i,B: $i,Xx: $i] :
            ( ( subset @ A @ B )
           => ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) ) )
       => ( ! [A: $i,B: $i] :
              ( ( subset @ A @ B )
             => ( ( subset @ B @ A )
               => ( A = B ) ) )
         => ( ! [A: $i,B: $i,Xx: $i] :
                ( ( in @ Xx @ A )
               => ( ( in @ Xx @ B )
                 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) )
           => ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B )
             => ! [A: $i,B: $i] :
                  ( ( subset @ B @ A )
                 => ( ( binintersect @ A @ B )
                    = B ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2,binintersectI,binintersectRsub,setextsub,subsetE,subsetI1]) ).

thf(4,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ! [A: $i,B: $i,Xx: $i] :
          ( ( subset @ A @ B )
         => ( ( in @ Xx @ A )
           => ( in @ Xx @ B ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(6,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( subset @ A @ B )
         => ( ( subset @ B @ A )
           => ( A = B ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(7,plain,
    ( ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ( in @ Xx @ B )
           => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(8,plain,
    ( ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(9,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( subset @ B @ A )
         => ( ( binintersect @ A @ B )
            = B ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(10,plain,
    ( ( ~ ! [A: $i,B: $i] :
            ( ( subset @ B @ A )
           => ( ( binintersect @ A @ B )
              = B ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[9]) ).

thf(11,plain,
    ( ( ( subset @ sK2_SY17 @ sK1_A )
      & ( ( binintersect @ sK1_A @ sK2_SY17 )
       != sK2_SY17 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(12,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( in @ ( sK3_Xx @ B @ A ) @ A )
            & ~ ( in @ ( sK3_Xx @ B @ A ) @ B ) )
          | ( subset @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(13,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( subset @ A @ B )
          | ! [Xx: $i] :
              ( ~ ( in @ Xx @ A )
              | ( in @ Xx @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[5]) ).

thf(14,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( subset @ A @ B )
          | ~ ( subset @ B @ A )
          | ( A = B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6]) ).

thf(15,plain,
    ( ( ! [A: $i,B: $i,Xx: $i] :
          ( ~ ( in @ Xx @ A )
          | ~ ( in @ Xx @ B )
          | ( in @ Xx @ ( binintersect @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[7]) ).

thf(16,plain,
    ( ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(17,plain,
    ( ( ! [A: $i,B: $i,Xx: $i] :
          ( ~ ( in @ Xx @ A )
          | ~ ( in @ Xx @ B )
          | ( in @ Xx @ ( binintersect @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(18,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( subset @ A @ B )
          | ~ ( subset @ B @ A )
          | ( A = B ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(19,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( subset @ A @ B )
          | ! [Xx: $i] :
              ( ~ ( in @ Xx @ A )
              | ( in @ Xx @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(20,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( in @ ( sK3_Xx @ B @ A ) @ A )
            & ~ ( in @ ( sK3_Xx @ B @ A ) @ B ) )
          | ( subset @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(21,plain,
    ( ( ( subset @ sK2_SY17 @ sK1_A )
      & ( ( binintersect @ sK1_A @ sK2_SY17 )
       != sK2_SY17 ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(22,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( in @ ( sK3_Xx @ SX1 @ SX0 ) @ SX0 )
              | ~ ~ ( in @ ( sK3_Xx @ SX1 @ SX0 ) @ SX1 ) )
          | ( subset @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20,binintersectI,binintersectRsub,setextsub,subsetE,subsetI1]) ).

thf(23,plain,
    ( ( ~ ( ~ ( subset @ sK2_SY17 @ sK1_A )
          | ~ ( ( ( binintersect @ sK1_A @ sK2_SY17 )
               != sK2_SY17 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21,binintersectI,binintersectRsub,setextsub,subsetE,subsetI1]) ).

thf(24,plain,
    ! [SV1: $i] :
      ( ( ! [SY18: $i] : ( subset @ ( binintersect @ SV1 @ SY18 ) @ SY18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[16]) ).

thf(25,plain,
    ! [SV2: $i] :
      ( ( ! [SY19: $i,SY20: $i] :
            ( ~ ( in @ SY20 @ SV2 )
            | ~ ( in @ SY20 @ SY19 )
            | ( in @ SY20 @ ( binintersect @ SV2 @ SY19 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[17]) ).

thf(26,plain,
    ! [SV3: $i] :
      ( ( ! [SY21: $i] :
            ( ~ ( subset @ SV3 @ SY21 )
            | ~ ( subset @ SY21 @ SV3 )
            | ( SV3 = SY21 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[18]) ).

thf(27,plain,
    ! [SV4: $i] :
      ( ( ! [SY22: $i] :
            ( ~ ( subset @ SV4 @ SY22 )
            | ! [SY23: $i] :
                ( ~ ( in @ SY23 @ SV4 )
                | ( in @ SY23 @ SY22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(28,plain,
    ! [SV5: $i] :
      ( ( ! [SY24: $i] :
            ( ~ ( ~ ( in @ ( sK3_Xx @ SY24 @ SV5 ) @ SV5 )
                | ~ ~ ( in @ ( sK3_Xx @ SY24 @ SV5 ) @ SY24 ) )
            | ( subset @ SV5 @ SY24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[22]) ).

thf(29,plain,
    ( ( ~ ( subset @ sK2_SY17 @ sK1_A )
      | ~ ( ( ( binintersect @ sK1_A @ sK2_SY17 )
           != sK2_SY17 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(30,plain,
    ! [SV6: $i,SV1: $i] :
      ( ( subset @ ( binintersect @ SV1 @ SV6 ) @ SV6 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[24]) ).

thf(31,plain,
    ! [SV7: $i,SV2: $i] :
      ( ( ! [SY25: $i] :
            ( ~ ( in @ SY25 @ SV2 )
            | ~ ( in @ SY25 @ SV7 )
            | ( in @ SY25 @ ( binintersect @ SV2 @ SV7 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[25]) ).

thf(32,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ~ ( subset @ SV3 @ SV8 )
        | ~ ( subset @ SV8 @ SV3 )
        | ( SV3 = SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(33,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ~ ( subset @ SV4 @ SV9 )
        | ! [SY26: $i] :
            ( ~ ( in @ SY26 @ SV4 )
            | ( in @ SY26 @ SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(34,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 )
            | ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 ) )
        | ( subset @ SV5 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[28]) ).

thf(35,plain,
    ( ( ~ ( subset @ sK2_SY17 @ sK1_A ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(36,plain,
    ( ( ~ ( ( ( binintersect @ sK1_A @ sK2_SY17 )
           != sK2_SY17 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(37,plain,
    ! [SV7: $i,SV2: $i,SV11: $i] :
      ( ( ~ ( in @ SV11 @ SV2 )
        | ~ ( in @ SV11 @ SV7 )
        | ( in @ SV11 @ ( binintersect @ SV2 @ SV7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(38,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( ~ ( subset @ SV3 @ SV8 ) )
        = $true )
      | ( ( ~ ( subset @ SV8 @ SV3 )
          | ( SV3 = SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[32]) ).

thf(39,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ( ~ ( subset @ SV4 @ SV9 ) )
        = $true )
      | ( ( ! [SY26: $i] :
              ( ~ ( in @ SY26 @ SV4 )
              | ( in @ SY26 @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[33]) ).

thf(40,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 )
              | ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 ) ) )
        = $true )
      | ( ( subset @ SV5 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[34]) ).

thf(41,plain,
    ( ( subset @ sK2_SY17 @ sK1_A )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(42,plain,
    ( ( ( ( binintersect @ sK1_A @ sK2_SY17 )
       != sK2_SY17 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(43,plain,
    ! [SV7: $i,SV2: $i,SV11: $i] :
      ( ( ( ~ ( in @ SV11 @ SV2 ) )
        = $true )
      | ( ( ~ ( in @ SV11 @ SV7 )
          | ( in @ SV11 @ ( binintersect @ SV2 @ SV7 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

thf(44,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( subset @ SV3 @ SV8 )
        = $false )
      | ( ( ~ ( subset @ SV8 @ SV3 )
          | ( SV3 = SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(45,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ( subset @ SV4 @ SV9 )
        = $false )
      | ( ( ! [SY26: $i] :
              ( ~ ( in @ SY26 @ SV4 )
              | ( in @ SY26 @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[39]) ).

thf(46,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 )
          | ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 ) )
        = $false )
      | ( ( subset @ SV5 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(47,plain,
    ( ( ( binintersect @ sK1_A @ sK2_SY17 )
      = sK2_SY17 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV7: $i,SV2: $i,SV11: $i] :
      ( ( ( in @ SV11 @ SV2 )
        = $false )
      | ( ( ~ ( in @ SV11 @ SV7 )
          | ( in @ SV11 @ ( binintersect @ SV2 @ SV7 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV3: $i,SV8: $i] :
      ( ( ( ~ ( subset @ SV8 @ SV3 ) )
        = $true )
      | ( ( SV3 = SV8 )
        = $true )
      | ( ( subset @ SV3 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[44]) ).

thf(50,plain,
    ! [SV9: $i,SV4: $i,SV12: $i] :
      ( ( ( ~ ( in @ SV12 @ SV4 )
          | ( in @ SV12 @ SV9 ) )
        = $true )
      | ( ( subset @ SV4 @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(51,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
        = $false )
      | ( ( subset @ SV5 @ SV10 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[46]) ).

thf(52,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 ) )
        = $false )
      | ( ( subset @ SV5 @ SV10 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[46]) ).

thf(53,plain,
    ! [SV2: $i,SV7: $i,SV11: $i] :
      ( ( ( ~ ( in @ SV11 @ SV7 ) )
        = $true )
      | ( ( in @ SV11 @ ( binintersect @ SV2 @ SV7 ) )
        = $true )
      | ( ( in @ SV11 @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(54,plain,
    ! [SV3: $i,SV8: $i] :
      ( ( ( subset @ SV8 @ SV3 )
        = $false )
      | ( ( SV3 = SV8 )
        = $true )
      | ( ( subset @ SV3 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[49]) ).

thf(55,plain,
    ! [SV9: $i,SV4: $i,SV12: $i] :
      ( ( ( ~ ( in @ SV12 @ SV4 ) )
        = $true )
      | ( ( in @ SV12 @ SV9 )
        = $true )
      | ( ( subset @ SV4 @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[50]) ).

thf(56,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 )
        = $true )
      | ( ( subset @ SV5 @ SV10 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[51]) ).

thf(57,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 ) )
        = $true )
      | ( ( subset @ SV5 @ SV10 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(58,plain,
    ! [SV2: $i,SV7: $i,SV11: $i] :
      ( ( ( in @ SV11 @ SV7 )
        = $false )
      | ( ( in @ SV11 @ ( binintersect @ SV2 @ SV7 ) )
        = $true )
      | ( ( in @ SV11 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(59,plain,
    ! [SV9: $i,SV4: $i,SV12: $i] :
      ( ( ( in @ SV12 @ SV4 )
        = $false )
      | ( ( in @ SV12 @ SV9 )
        = $true )
      | ( ( subset @ SV4 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(60,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
        = $false )
      | ( ( subset @ SV5 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(61,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[30,60,59,58,56,54,47,41]) ).

thf(62,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU598^2 : TPTP v8.1.0. Released v3.7.0.
% 0.04/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jun 20 14:17:25 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  
% 0.14/0.35   No.of.Axioms: 0
% 0.14/0.35  
% 0.14/0.35   Length.of.Defs: 923
% 0.14/0.35  
% 0.14/0.35   Contains.Choice.Funs: false
% 0.14/0.35  (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)...
% 0.21/0.41  
% 0.21/0.41  ********************************
% 0.21/0.41  *   All subproblems solved!    *
% 0.21/0.41  ********************************
% 0.21/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:61,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.41  
% 0.21/0.41  %**** Beginning of derivation protocol ****
% 0.21/0.41  % SZS output start CNFRefutation
% See solution above
% 0.21/0.42  
% 0.21/0.42  %**** End of derivation protocol ****
% 0.21/0.42  %**** no. of clauses in derivation: 62 ****
% 0.21/0.42  %**** clause counter: 61 ****
% 0.21/0.42  
% 0.21/0.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:61,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------