TSTP Solution File: SEU894^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEU894^5 : 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 : n017.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 12:15:38 EDT 2022

% Result   : Theorem 0.19s 0.39s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   46 (  30 unt;   3 typ;   0 def)
%            Number of atoms       :  199 ( 135 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  582 ( 146   ~;  86   |;  23   &; 307   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  113 ( 113   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   2 con; 0-3 aty)
%            Number of variables   :  140 (  23   ^ 102   !;  15   ?; 140   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK1_F,type,
    sK1_F: $i > $i ).

thf(tp_sK2_X,type,
    sK2_X: ( $i > $i ) > $i ).

thf(tp_sK3_SY10,type,
    sK3_SY10: ( ( $i > $i ) > $o ) > ( $i > $i ) > $i > $i ).

thf(1,conjecture,
    ! [F: $i > $i] :
    ? [G: $i > $i] :
      ( ( ! [P: ( $i > $i ) > $o] :
            ( ( ( P @ F )
              & ! [H: $i > $i] :
                  ( ( P @ H )
                 => ( P
                    @ ^ [T: $i] : ( F @ ( H @ T ) ) ) ) )
           => ( P @ G ) )
        & ? [X: $i] :
            ( ( ( G @ X )
              = X )
            & ! [Y: $i] :
                ( ( ( G @ Y )
                  = Y )
               => ( X = Y ) ) ) )
     => ? [Y: $i] :
          ( ( F @ Y )
          = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM15_0_pme) ).

thf(2,negated_conjecture,
    ( ( ! [F: $i > $i] :
        ? [G: $i > $i] :
          ( ( ! [P: ( $i > $i ) > $o] :
                ( ( ( P @ F )
                  & ! [H: $i > $i] :
                      ( ( P @ H )
                     => ( P
                        @ ^ [T: $i] : ( F @ ( H @ T ) ) ) ) )
               => ( P @ G ) )
            & ? [X: $i] :
                ( ( ( G @ X )
                  = X )
                & ! [Y: $i] :
                    ( ( ( G @ Y )
                      = Y )
                   => ( X = Y ) ) ) )
         => ? [Y: $i] :
              ( ( F @ Y )
              = Y ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [F: $i > $i] :
        ? [G: $i > $i] :
          ( ( ! [P: ( $i > $i ) > $o] :
                ( ( ( P @ F )
                  & ! [H: $i > $i] :
                      ( ( P @ H )
                     => ( P
                        @ ^ [T: $i] : ( F @ ( H @ T ) ) ) ) )
               => ( P @ G ) )
            & ? [X: $i] :
                ( ( ( G @ X )
                  = X )
                & ! [Y: $i] :
                    ( ( ( G @ Y )
                      = Y )
                   => ( X = Y ) ) ) )
         => ? [Y: $i] :
              ( ( F @ Y )
              = Y ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ? [SY8: $i > $i] :
          ( ( ! [SY9: ( $i > $i ) > $o] :
                ( ( ( SY9 @ sK1_F )
                  & ! [SY10: $i > $i] :
                      ( ( SY9 @ SY10 )
                     => ( SY9
                        @ ^ [SY11: $i] : ( sK1_F @ ( SY10 @ SY11 ) ) ) ) )
               => ( SY9 @ SY8 ) )
            & ? [X: $i] :
                ( ( ( SY8 @ X )
                  = X )
                & ! [Y: $i] :
                    ( ( ( SY8 @ Y )
                      = Y )
                   => ( X = Y ) ) ) )
         => ? [SY14: $i] :
              ( ( sK1_F @ SY14 )
              = SY14 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ~ ? [SY8: $i > $i] :
            ( ( ! [SY9: ( $i > $i ) > $o] :
                  ( ( ( SY9 @ sK1_F )
                    & ! [SY10: $i > $i] :
                        ( ( SY9 @ SY10 )
                       => ( SY9
                          @ ^ [SY11: $i] : ( sK1_F @ ( SY10 @ SY11 ) ) ) ) )
                 => ( SY9 @ SY8 ) )
              & ? [X: $i] :
                  ( ( ( SY8 @ X )
                    = X )
                  & ! [Y: $i] :
                      ( ( ( SY8 @ Y )
                        = Y )
                     => ( X = Y ) ) ) )
           => ? [SY14: $i] :
                ( ( sK1_F @ SY14 )
                = SY14 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[4]) ).

thf(6,plain,
    ( ( ! [SY8: $i > $i,SY9: ( $i > $i ) > $o] :
          ( ( ( SY9 @ ( sK3_SY10 @ SY9 @ SY8 ) )
            & ~ ( SY9
                @ ^ [SY16: $i] : ( sK1_F @ ( sK3_SY10 @ SY9 @ SY8 @ SY16 ) ) ) )
          | ~ ( SY9 @ sK1_F )
          | ( SY9 @ SY8 ) )
      & ! [SY8: $i > $i] :
          ( ! [SY15: $i] :
              ( ( ( SY8 @ SY15 )
               != SY15 )
              | ( ( sK2_X @ SY8 )
                = SY15 ) )
          & ( ( SY8 @ ( sK2_X @ SY8 ) )
            = ( sK2_X @ SY8 ) ) )
      & ! [SY14: $i] :
          ( ( sK1_F @ SY14 )
         != SY14 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[5]) ).

thf(7,plain,
    ( ( ! [SY8: $i > $i,SY9: ( $i > $i ) > $o] :
          ( ( ( SY9 @ ( sK3_SY10 @ SY9 @ SY8 ) )
            & ~ ( SY9
                @ ^ [SY16: $i] : ( sK1_F @ ( sK3_SY10 @ SY9 @ SY8 @ SY16 ) ) ) )
          | ~ ( SY9 @ sK1_F )
          | ( SY9 @ SY8 ) )
      & ! [SY8: $i > $i] :
          ( ! [SY15: $i] :
              ( ( ( SY8 @ SY15 )
               != SY15 )
              | ( ( sK2_X @ SY8 )
                = SY15 ) )
          & ( ( SY8 @ ( sK2_X @ SY8 ) )
            = ( sK2_X @ SY8 ) ) )
      & ! [SY14: $i] :
          ( ( sK1_F @ SY14 )
         != SY14 ) )
    = $true ),
    inference(copy,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i > $i,SX1: ( $i > $i ) > $o] :
                      ( ~ ( ~ ( SX1 @ ( sK3_SY10 @ SX1 @ SX0 ) )
                          | ~ ~ ( SX1
                                @ ^ [SX2: $i] : ( sK1_F @ ( sK3_SY10 @ SX1 @ SX0 @ SX2 ) ) ) )
                      | ~ ( SX1 @ sK1_F )
                      | ( SX1 @ SX0 ) )
                | ~ ! [SX0: $i > $i] :
                      ~ ( ~ ! [SX1: $i] :
                              ( ( ( SX0 @ SX1 )
                               != SX1 )
                              | ( ( sK2_X @ SX0 )
                                = SX1 ) )
                        | ( ( SX0 @ ( sK2_X @ SX0 ) )
                         != ( sK2_X @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ( sK1_F @ SX0 )
               != SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i > $i,SX1: ( $i > $i ) > $o] :
                  ( ~ ( ~ ( SX1 @ ( sK3_SY10 @ SX1 @ SX0 ) )
                      | ~ ~ ( SX1
                            @ ^ [SX2: $i] : ( sK1_F @ ( sK3_SY10 @ SX1 @ SX0 @ SX2 ) ) ) )
                  | ~ ( SX1 @ sK1_F )
                  | ( SX1 @ SX0 ) )
            | ~ ! [SX0: $i > $i] :
                  ~ ( ~ ! [SX1: $i] :
                          ( ( ( SX0 @ SX1 )
                           != SX1 )
                          | ( ( sK2_X @ SX0 )
                            = SX1 ) )
                    | ( ( SX0 @ ( sK2_X @ SX0 ) )
                     != ( sK2_X @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ( sK1_F @ SX0 )
           != SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[8]) ).

thf(10,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i > $i,SX1: ( $i > $i ) > $o] :
                  ( ~ ( ~ ( SX1 @ ( sK3_SY10 @ SX1 @ SX0 ) )
                      | ~ ~ ( SX1
                            @ ^ [SX2: $i] : ( sK1_F @ ( sK3_SY10 @ SX1 @ SX0 @ SX2 ) ) ) )
                  | ~ ( SX1 @ sK1_F )
                  | ( SX1 @ SX0 ) )
            | ~ ! [SX0: $i > $i] :
                  ~ ( ~ ! [SX1: $i] :
                          ( ( ( SX0 @ SX1 )
                           != SX1 )
                          | ( ( sK2_X @ SX0 )
                            = SX1 ) )
                    | ( ( SX0 @ ( sK2_X @ SX0 ) )
                     != ( sK2_X @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9]) ).

thf(11,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( sK1_F @ SX0 )
           != SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[9]) ).

thf(12,plain,
    ( ( ~ ( ~ ! [SX0: $i > $i,SX1: ( $i > $i ) > $o] :
                ( ~ ( ~ ( SX1 @ ( sK3_SY10 @ SX1 @ SX0 ) )
                    | ~ ~ ( SX1
                          @ ^ [SX2: $i] : ( sK1_F @ ( sK3_SY10 @ SX1 @ SX0 @ SX2 ) ) ) )
                | ~ ( SX1 @ sK1_F )
                | ( SX1 @ SX0 ) )
          | ~ ! [SX0: $i > $i] :
                ~ ( ~ ! [SX1: $i] :
                        ( ( ( SX0 @ SX1 )
                         != SX1 )
                        | ( ( sK2_X @ SX0 )
                          = SX1 ) )
                  | ( ( SX0 @ ( sK2_X @ SX0 ) )
                   != ( sK2_X @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[10]) ).

thf(13,plain,
    ( ( ! [SX0: $i] :
          ( ( sK1_F @ SX0 )
         != SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[11]) ).

thf(14,plain,
    ( ( ~ ! [SX0: $i > $i,SX1: ( $i > $i ) > $o] :
            ( ~ ( ~ ( SX1 @ ( sK3_SY10 @ SX1 @ SX0 ) )
                | ~ ~ ( SX1
                      @ ^ [SX2: $i] : ( sK1_F @ ( sK3_SY10 @ SX1 @ SX0 @ SX2 ) ) ) )
            | ~ ( SX1 @ sK1_F )
            | ( SX1 @ SX0 ) )
      | ~ ! [SX0: $i > $i] :
            ~ ( ~ ! [SX1: $i] :
                    ( ( ( SX0 @ SX1 )
                     != SX1 )
                    | ( ( sK2_X @ SX0 )
                      = SX1 ) )
              | ( ( SX0 @ ( sK2_X @ SX0 ) )
               != ( sK2_X @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(15,plain,
    ! [SV1: $i] :
      ( ( ( ( sK1_F @ SV1 )
         != SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[13]) ).

thf(16,plain,
    ( ( ~ ! [SX0: $i > $i,SX1: ( $i > $i ) > $o] :
            ( ~ ( ~ ( SX1 @ ( sK3_SY10 @ SX1 @ SX0 ) )
                | ~ ~ ( SX1
                      @ ^ [SX2: $i] : ( sK1_F @ ( sK3_SY10 @ SX1 @ SX0 @ SX2 ) ) ) )
            | ~ ( SX1 @ sK1_F )
            | ( SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[14]) ).

thf(17,plain,
    ( ( ~ ! [SX0: $i > $i] :
            ~ ( ~ ! [SX1: $i] :
                    ( ( ( SX0 @ SX1 )
                     != SX1 )
                    | ( ( sK2_X @ SX0 )
                      = SX1 ) )
              | ( ( SX0 @ ( sK2_X @ SX0 ) )
               != ( sK2_X @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[14]) ).

thf(18,plain,
    ! [SV1: $i] :
      ( ( ( sK1_F @ SV1 )
        = SV1 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(19,plain,
    ( ( ! [SX0: $i > $i,SX1: ( $i > $i ) > $o] :
          ( ~ ( ~ ( SX1 @ ( sK3_SY10 @ SX1 @ SX0 ) )
              | ~ ~ ( SX1
                    @ ^ [SX2: $i] : ( sK1_F @ ( sK3_SY10 @ SX1 @ SX0 @ SX2 ) ) ) )
          | ~ ( SX1 @ sK1_F )
          | ( SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[16]) ).

thf(20,plain,
    ( ( ! [SX0: $i > $i] :
          ~ ( ~ ! [SX1: $i] :
                  ( ( ( SX0 @ SX1 )
                   != SX1 )
                  | ( ( sK2_X @ SX0 )
                    = SX1 ) )
            | ( ( SX0 @ ( sK2_X @ SX0 ) )
             != ( sK2_X @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[17]) ).

thf(21,plain,
    ! [SV2: $i > $i] :
      ( ( ! [SY17: ( $i > $i ) > $o] :
            ( ~ ( ~ ( SY17 @ ( sK3_SY10 @ SY17 @ SV2 ) )
                | ~ ~ ( SY17
                      @ ^ [SY18: $i] : ( sK1_F @ ( sK3_SY10 @ SY17 @ SV2 @ SY18 ) ) ) )
            | ~ ( SY17 @ sK1_F )
            | ( SY17 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(22,plain,
    ! [SV3: $i > $i] :
      ( ( ~ ( ~ ! [SY19: $i] :
                  ( ( ( SV3 @ SY19 )
                   != SY19 )
                  | ( ( sK2_X @ SV3 )
                    = SY19 ) )
            | ( ( SV3 @ ( sK2_X @ SV3 ) )
             != ( sK2_X @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[20]) ).

thf(23,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ~ ( ~ ( SV4 @ ( sK3_SY10 @ SV4 @ SV2 ) )
            | ~ ~ ( SV4
                  @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) ) )
        | ~ ( SV4 @ sK1_F )
        | ( SV4 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[21]) ).

thf(24,plain,
    ! [SV3: $i > $i] :
      ( ( ~ ! [SY19: $i] :
              ( ( ( SV3 @ SY19 )
               != SY19 )
              | ( ( sK2_X @ SV3 )
                = SY19 ) )
        | ( ( SV3 @ ( sK2_X @ SV3 ) )
         != ( sK2_X @ SV3 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(25,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK3_SY10 @ SV4 @ SV2 ) )
              | ~ ~ ( SV4
                    @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) ) )
          | ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[23]) ).

thf(26,plain,
    ! [SV3: $i > $i] :
      ( ( ~ ! [SY19: $i] :
              ( ( ( SV3 @ SY19 )
               != SY19 )
              | ( ( sK2_X @ SV3 )
                = SY19 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(27,plain,
    ! [SV3: $i > $i] :
      ( ( ( ( SV3 @ ( sK2_X @ SV3 ) )
         != ( sK2_X @ SV3 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(28,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK3_SY10 @ SV4 @ SV2 ) )
              | ~ ~ ( SV4
                    @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV3: $i > $i] :
      ( ( ! [SY19: $i] :
            ( ( ( SV3 @ SY19 )
             != SY19 )
            | ( ( sK2_X @ SV3 )
              = SY19 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV3: $i > $i] :
      ( ( ( SV3 @ ( sK2_X @ SV3 ) )
        = ( sK2_X @ SV3 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[27]) ).

thf(31,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( ~ ( SV4 @ ( sK3_SY10 @ SV4 @ SV2 ) )
          | ~ ~ ( SV4
                @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) ) )
        = $false )
      | ( ( ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[28]) ).

thf(32,plain,
    ! [SV5: $i,SV3: $i > $i] :
      ( ( ( ( SV3 @ SV5 )
         != SV5 )
        | ( ( sK2_X @ SV3 )
          = SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[29]) ).

thf(33,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( ~ ( SV4 @ ( sK3_SY10 @ SV4 @ SV2 ) ) )
        = $false )
      | ( ( ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[31]) ).

thf(34,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( ~ ~ ( SV4
                @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) ) )
        = $false )
      | ( ( ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[31]) ).

thf(35,plain,
    ! [SV5: $i,SV3: $i > $i] :
      ( ( ( ( ( SV3 @ SV5 )
           != SV5 ) )
        = $true )
      | ( ( ( sK2_X @ SV3 )
          = SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[32]) ).

thf(36,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( SV4 @ ( sK3_SY10 @ SV4 @ SV2 ) )
        = $true )
      | ( ( ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(37,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( ~ ( SV4
              @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) ) )
        = $true )
      | ( ( ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[34]) ).

thf(38,plain,
    ! [SV5: $i,SV3: $i > $i] :
      ( ( ( ( SV3 @ SV5 )
          = SV5 )
        = $false )
      | ( ( ( sK2_X @ SV3 )
          = SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[35]) ).

thf(39,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( SV4 @ sK1_F )
        = $false )
      | ( ( SV4 @ ( sK3_SY10 @ SV4 @ SV2 ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[36]) ).

thf(40,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( SV4
          @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) )
        = $false )
      | ( ( ~ ( SV4 @ sK1_F ) )
        = $true )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(41,plain,
    ! [SV2: $i > $i,SV4: ( $i > $i ) > $o] :
      ( ( ( SV4 @ sK1_F )
        = $false )
      | ( ( SV4
          @ ^ [SY20: $i] : ( sK1_F @ ( sK3_SY10 @ SV4 @ SV2 @ SY20 ) ) )
        = $false )
      | ( ( SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(42,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[18,41,39,38,30]) ).

thf(43,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU894^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 20 06:07:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 0
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.35  (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)...
% 0.19/0.39  
% 0.19/0.39  ********************************
% 0.19/0.39  *   All subproblems solved!    *
% 0.19/0.39  ********************************
% 0.19/0.39  % SZS status Theorem for /export/starexec/sandbox/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:42,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.39  
% 0.19/0.39  %**** Beginning of derivation protocol ****
% 0.19/0.39  % SZS output start CNFRefutation
% See solution above
% 0.19/0.39  
% 0.19/0.39  %**** End of derivation protocol ****
% 0.19/0.39  %**** no. of clauses in derivation: 43 ****
% 0.19/0.39  %**** clause counter: 42 ****
% 0.19/0.39  
% 0.19/0.39  % SZS status Theorem for /export/starexec/sandbox/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:42,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------