TSTP Solution File: SYO260^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO260^5 : 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 : n009.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 : Thu Jul 21 17:33:01 EDT 2022

% Result   : Theorem 0.53s 0.72s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  168 (  53 unt;   4 typ;   0 def)
%            Number of atoms       :  940 ( 364 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives : 1623 ( 489   ~; 468   |;  30   &; 636   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  316 ( 316   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   5 con; 0-2 aty)
%            Number of variables   :  327 (   0   ^ 311   !;  16   ?; 327   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK1_Xa,type,
    sK1_Xa: $i ).

thf(tp_sK2_SY6,type,
    sK2_SY6: $i ).

thf(tp_sK3_SY11,type,
    sK3_SY11: $i ).

thf(tp_sK4_SY15,type,
    sK4_SY15: $i > $o ).

thf(1,conjecture,
    ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
    ? [Xm: $i > $o,Xn: $i > $o] :
      ( ( ( Xm @ Xa )
        | ( Xn @ Xa ) )
      & ( ( P @ Xb )
        | ( Xn @ Xb ) )
      & ( ( Xm @ Xc )
        | ~ ( P @ Xc ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM125A) ).

thf(2,negated_conjecture,
    ( ( ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
        ? [Xm: $i > $o,Xn: $i > $o] :
          ( ( ( Xm @ Xa )
            | ( Xn @ Xa ) )
          & ( ( P @ Xb )
            | ( Xn @ Xb ) )
          & ( ( Xm @ Xc )
            | ~ ( P @ Xc ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
        ? [Xm: $i > $o,Xn: $i > $o] :
          ( ( ( Xm @ Xa )
            | ( Xn @ Xa ) )
          & ( ( P @ Xb )
            | ( Xn @ Xb ) )
          & ( ( Xm @ Xc )
            | ~ ( P @ Xc ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [SY6: $i,SY7: $i,SY8: $i > $o] :
        ? [SY9: $i > $o,SY10: $i > $o] :
          ( ( ( SY9 @ sK1_Xa )
            | ( SY10 @ sK1_Xa ) )
          & ( ( SY8 @ SY6 )
            | ( SY10 @ SY6 ) )
          & ( ( SY9 @ SY7 )
            | ~ ( SY8 @ SY7 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY11: $i,SY12: $i > $o] :
        ? [SY13: $i > $o,SY14: $i > $o] :
          ( ( ( SY13 @ sK1_Xa )
            | ( SY14 @ sK1_Xa ) )
          & ( ( SY12 @ sK2_SY6 )
            | ( SY14 @ sK2_SY6 ) )
          & ( ( SY13 @ SY11 )
            | ~ ( SY12 @ SY11 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [SY15: $i > $o] :
        ? [SY16: $i > $o,SY17: $i > $o] :
          ( ( ( SY16 @ sK1_Xa )
            | ( SY17 @ sK1_Xa ) )
          & ( ( SY15 @ sK2_SY6 )
            | ( SY17 @ sK2_SY6 ) )
          & ( ( SY16 @ sK3_SY11 )
            | ~ ( SY15 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
    ( ( ? [SY18: $i > $o,SY19: $i > $o] :
          ( ( ( SY18 @ sK1_Xa )
            | ( SY19 @ sK1_Xa ) )
          & ( ( sK4_SY15 @ sK2_SY6 )
            | ( SY19 @ sK2_SY6 ) )
          & ( ( SY18 @ sK3_SY11 )
            | ~ ( sK4_SY15 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[6]) ).

thf(8,plain,
    ( ( ~ ? [SY18: $i > $o,SY19: $i > $o] :
            ( ( ( SY18 @ sK1_Xa )
              | ( SY19 @ sK1_Xa ) )
            & ( ( sK4_SY15 @ sK2_SY6 )
              | ( SY19 @ sK2_SY6 ) )
            & ( ( SY18 @ sK3_SY11 )
              | ~ ( sK4_SY15 @ sK3_SY11 ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ! [SY18: $i > $o] :
          ( ~ ( SY18 @ sK1_Xa )
          | ! [SY19: $i > $o] :
              ~ ( SY19 @ sK2_SY6 )
          | ~ ( SY18 @ sK3_SY11 ) )
      & ! [SY18: $i > $o] :
          ( ~ ( SY18 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ~ ( SY18 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ( ~ ( SY19 @ sK1_Xa )
            | ~ ( SY19 @ sK2_SY6 ) )
        | ! [SY18: $i > $o] :
            ~ ( SY18 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ~ ( SY19 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 )
        | ! [SY18: $i > $o] :
            ~ ( SY18 @ sK3_SY11 ) )
      & ( ! [SY18: $i > $o] :
            ~ ( SY18 @ sK1_Xa )
        | ! [SY19: $i > $o] :
            ~ ( SY19 @ sK2_SY6 )
        | ( sK4_SY15 @ sK3_SY11 ) )
      & ( ! [SY18: $i > $o] :
            ~ ( SY18 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 )
        | ( sK4_SY15 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ( ~ ( SY19 @ sK1_Xa )
            | ~ ( SY19 @ sK2_SY6 ) )
        | ( sK4_SY15 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ~ ( SY19 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 )
        | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(10,plain,
    ( ( ! [SY18: $i > $o] :
          ( ~ ( SY18 @ sK1_Xa )
          | ! [SY19: $i > $o] :
              ~ ( SY19 @ sK2_SY6 )
          | ~ ( SY18 @ sK3_SY11 ) )
      & ! [SY18: $i > $o] :
          ( ~ ( SY18 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ~ ( SY18 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ( ~ ( SY19 @ sK1_Xa )
            | ~ ( SY19 @ sK2_SY6 ) )
        | ! [SY18: $i > $o] :
            ~ ( SY18 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ~ ( SY19 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 )
        | ! [SY18: $i > $o] :
            ~ ( SY18 @ sK3_SY11 ) )
      & ( ! [SY18: $i > $o] :
            ~ ( SY18 @ sK1_Xa )
        | ! [SY19: $i > $o] :
            ~ ( SY19 @ sK2_SY6 )
        | ( sK4_SY15 @ sK3_SY11 ) )
      & ( ! [SY18: $i > $o] :
            ~ ( SY18 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 )
        | ( sK4_SY15 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ( ~ ( SY19 @ sK1_Xa )
            | ~ ( SY19 @ sK2_SY6 ) )
        | ( sK4_SY15 @ sK3_SY11 ) )
      & ( ! [SY19: $i > $o] :
            ~ ( SY19 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 )
        | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(11,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o] :
                            ( ~ ( SX0 @ sK1_Xa )
                            | ! [SX1: $i > $o] :
                                ~ ( SX1 @ sK2_SY6 )
                            | ~ ( SX0 @ sK3_SY11 ) )
                      | ~ ! [SX0: $i > $o] :
                            ( ~ ( SX0 @ sK1_Xa )
                            | ~ ( sK4_SY15 @ sK2_SY6 )
                            | ~ ( SX0 @ sK3_SY11 ) ) )
                | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                              ( ~ ( SX0 @ sK1_Xa )
                              | ~ ( SX0 @ sK2_SY6 ) )
                          | ! [SX0: $i > $o] :
                              ~ ( SX0 @ sK3_SY11 ) )
                      | ~ ( ! [SX0: $i > $o] :
                              ~ ( SX0 @ sK1_Xa )
                          | ~ ( sK4_SY15 @ sK2_SY6 )
                          | ! [SX0: $i > $o] :
                              ~ ( SX0 @ sK3_SY11 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                              ~ ( SX0 @ sK1_Xa )
                          | ! [SX0: $i > $o] :
                              ~ ( SX0 @ sK2_SY6 )
                          | ( sK4_SY15 @ sK3_SY11 ) )
                      | ~ ( ! [SX0: $i > $o] :
                              ~ ( SX0 @ sK1_Xa )
                          | ~ ( sK4_SY15 @ sK2_SY6 )
                          | ( sK4_SY15 @ sK3_SY11 ) ) )
                | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                              ( ~ ( SX0 @ sK1_Xa )
                              | ~ ( SX0 @ sK2_SY6 ) )
                          | ( sK4_SY15 @ sK3_SY11 ) )
                      | ~ ( ! [SX0: $i > $o] :
                              ~ ( SX0 @ sK1_Xa )
                          | ~ ( sK4_SY15 @ sK2_SY6 )
                          | ( sK4_SY15 @ sK3_SY11 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(12,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o] :
                        ( ~ ( SX0 @ sK1_Xa )
                        | ! [SX1: $i > $o] :
                            ~ ( SX1 @ sK2_SY6 )
                        | ~ ( SX0 @ sK3_SY11 ) )
                  | ~ ! [SX0: $i > $o] :
                        ( ~ ( SX0 @ sK1_Xa )
                        | ~ ( sK4_SY15 @ sK2_SY6 )
                        | ~ ( SX0 @ sK3_SY11 ) ) )
            | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                          ( ~ ( SX0 @ sK1_Xa )
                          | ~ ( SX0 @ sK2_SY6 ) )
                      | ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK3_SY11 ) )
                  | ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ~ ( sK4_SY15 @ sK2_SY6 )
                      | ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK3_SY11 ) ) ) )
      | ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK2_SY6 )
                      | ( sK4_SY15 @ sK3_SY11 ) )
                  | ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ~ ( sK4_SY15 @ sK2_SY6 )
                      | ( sK4_SY15 @ sK3_SY11 ) ) )
            | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                          ( ~ ( SX0 @ sK1_Xa )
                          | ~ ( SX0 @ sK2_SY6 ) )
                      | ( sK4_SY15 @ sK3_SY11 ) )
                  | ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ~ ( sK4_SY15 @ sK2_SY6 )
                      | ( sK4_SY15 @ sK3_SY11 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[11]) ).

thf(13,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i > $o] :
                        ( ~ ( SX0 @ sK1_Xa )
                        | ! [SX1: $i > $o] :
                            ~ ( SX1 @ sK2_SY6 )
                        | ~ ( SX0 @ sK3_SY11 ) )
                  | ~ ! [SX0: $i > $o] :
                        ( ~ ( SX0 @ sK1_Xa )
                        | ~ ( sK4_SY15 @ sK2_SY6 )
                        | ~ ( SX0 @ sK3_SY11 ) ) )
            | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                          ( ~ ( SX0 @ sK1_Xa )
                          | ~ ( SX0 @ sK2_SY6 ) )
                      | ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK3_SY11 ) )
                  | ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ~ ( sK4_SY15 @ sK2_SY6 )
                      | ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK3_SY11 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[12]) ).

thf(14,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK2_SY6 )
                      | ( sK4_SY15 @ sK3_SY11 ) )
                  | ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ~ ( sK4_SY15 @ sK2_SY6 )
                      | ( sK4_SY15 @ sK3_SY11 ) ) )
            | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                          ( ~ ( SX0 @ sK1_Xa )
                          | ~ ( SX0 @ sK2_SY6 ) )
                      | ( sK4_SY15 @ sK3_SY11 ) )
                  | ~ ( ! [SX0: $i > $o] :
                          ~ ( SX0 @ sK1_Xa )
                      | ~ ( sK4_SY15 @ sK2_SY6 )
                      | ( sK4_SY15 @ sK3_SY11 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[12]) ).

thf(15,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i > $o] :
                      ( ~ ( SX0 @ sK1_Xa )
                      | ! [SX1: $i > $o] :
                          ~ ( SX1 @ sK2_SY6 )
                      | ~ ( SX0 @ sK3_SY11 ) )
                | ~ ! [SX0: $i > $o] :
                      ( ~ ( SX0 @ sK1_Xa )
                      | ~ ( sK4_SY15 @ sK2_SY6 )
                      | ~ ( SX0 @ sK3_SY11 ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                        ( ~ ( SX0 @ sK1_Xa )
                        | ~ ( SX0 @ sK2_SY6 ) )
                    | ! [SX0: $i > $o] :
                        ~ ( SX0 @ sK3_SY11 ) )
                | ~ ( ! [SX0: $i > $o] :
                        ~ ( SX0 @ sK1_Xa )
                    | ~ ( sK4_SY15 @ sK2_SY6 )
                    | ! [SX0: $i > $o] :
                        ~ ( SX0 @ sK3_SY11 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[13]) ).

thf(16,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                        ~ ( SX0 @ sK1_Xa )
                    | ! [SX0: $i > $o] :
                        ~ ( SX0 @ sK2_SY6 )
                    | ( sK4_SY15 @ sK3_SY11 ) )
                | ~ ( ! [SX0: $i > $o] :
                        ~ ( SX0 @ sK1_Xa )
                    | ~ ( sK4_SY15 @ sK2_SY6 )
                    | ( sK4_SY15 @ sK3_SY11 ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                        ( ~ ( SX0 @ sK1_Xa )
                        | ~ ( SX0 @ sK2_SY6 ) )
                    | ( sK4_SY15 @ sK3_SY11 ) )
                | ~ ( ! [SX0: $i > $o] :
                        ~ ( SX0 @ sK1_Xa )
                    | ~ ( sK4_SY15 @ sK2_SY6 )
                    | ( sK4_SY15 @ sK3_SY11 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[14]) ).

thf(17,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i > $o] :
                  ( ~ ( SX0 @ sK1_Xa )
                  | ! [SX1: $i > $o] :
                      ~ ( SX1 @ sK2_SY6 )
                  | ~ ( SX0 @ sK3_SY11 ) )
            | ~ ! [SX0: $i > $o] :
                  ( ~ ( SX0 @ sK1_Xa )
                  | ~ ( sK4_SY15 @ sK2_SY6 )
                  | ~ ( SX0 @ sK3_SY11 ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                    ( ~ ( SX0 @ sK1_Xa )
                    | ~ ( SX0 @ sK2_SY6 ) )
                | ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK3_SY11 ) )
            | ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ~ ( sK4_SY15 @ sK2_SY6 )
                | ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(18,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK2_SY6 )
                | ( sK4_SY15 @ sK3_SY11 ) )
            | ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ~ ( sK4_SY15 @ sK2_SY6 )
                | ( sK4_SY15 @ sK3_SY11 ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i > $o] :
                    ( ~ ( SX0 @ sK1_Xa )
                    | ~ ( SX0 @ sK2_SY6 ) )
                | ( sK4_SY15 @ sK3_SY11 ) )
            | ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ~ ( sK4_SY15 @ sK2_SY6 )
                | ( sK4_SY15 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[16]) ).

thf(19,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i > $o] :
                  ( ~ ( SX0 @ sK1_Xa )
                  | ! [SX1: $i > $o] :
                      ~ ( SX1 @ sK2_SY6 )
                  | ~ ( SX0 @ sK3_SY11 ) )
            | ~ ! [SX0: $i > $o] :
                  ( ~ ( SX0 @ sK1_Xa )
                  | ~ ( sK4_SY15 @ sK2_SY6 )
                  | ~ ( SX0 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[17]) ).

thf(20,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                    ( ~ ( SX0 @ sK1_Xa )
                    | ~ ( SX0 @ sK2_SY6 ) )
                | ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK3_SY11 ) )
            | ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ~ ( sK4_SY15 @ sK2_SY6 )
                | ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[17]) ).

thf(21,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK2_SY6 )
                | ( sK4_SY15 @ sK3_SY11 ) )
            | ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ~ ( sK4_SY15 @ sK2_SY6 )
                | ( sK4_SY15 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(22,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i > $o] :
                    ( ~ ( SX0 @ sK1_Xa )
                    | ~ ( SX0 @ sK2_SY6 ) )
                | ( sK4_SY15 @ sK3_SY11 ) )
            | ~ ( ! [SX0: $i > $o] :
                    ~ ( SX0 @ sK1_Xa )
                | ~ ( sK4_SY15 @ sK2_SY6 )
                | ( sK4_SY15 @ sK3_SY11 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(23,plain,
    ( ( ~ ( ~ ! [SX0: $i > $o] :
                ( ~ ( SX0 @ sK1_Xa )
                | ! [SX1: $i > $o] :
                    ~ ( SX1 @ sK2_SY6 )
                | ~ ( SX0 @ sK3_SY11 ) )
          | ~ ! [SX0: $i > $o] :
                ( ~ ( SX0 @ sK1_Xa )
                | ~ ( sK4_SY15 @ sK2_SY6 )
                | ~ ( SX0 @ sK3_SY11 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ~ ( ~ ( ! [SX0: $i > $o] :
                  ( ~ ( SX0 @ sK1_Xa )
                  | ~ ( SX0 @ sK2_SY6 ) )
              | ! [SX0: $i > $o] :
                  ~ ( SX0 @ sK3_SY11 ) )
          | ~ ( ! [SX0: $i > $o] :
                  ~ ( SX0 @ sK1_Xa )
              | ~ ( sK4_SY15 @ sK2_SY6 )
              | ! [SX0: $i > $o] :
                  ~ ( SX0 @ sK3_SY11 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[20]) ).

thf(25,plain,
    ( ( ~ ( ~ ( ! [SX0: $i > $o] :
                  ~ ( SX0 @ sK1_Xa )
              | ! [SX0: $i > $o] :
                  ~ ( SX0 @ sK2_SY6 )
              | ( sK4_SY15 @ sK3_SY11 ) )
          | ~ ( ! [SX0: $i > $o] :
                  ~ ( SX0 @ sK1_Xa )
              | ~ ( sK4_SY15 @ sK2_SY6 )
              | ( sK4_SY15 @ sK3_SY11 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[21]) ).

thf(26,plain,
    ( ( ~ ( ~ ( ! [SX0: $i > $o] :
                  ( ~ ( SX0 @ sK1_Xa )
                  | ~ ( SX0 @ sK2_SY6 ) )
              | ( sK4_SY15 @ sK3_SY11 ) )
          | ~ ( ! [SX0: $i > $o] :
                  ~ ( SX0 @ sK1_Xa )
              | ~ ( sK4_SY15 @ sK2_SY6 )
              | ( sK4_SY15 @ sK3_SY11 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[22]) ).

thf(27,plain,
    ( ( ~ ! [SX0: $i > $o] :
            ( ~ ( SX0 @ sK1_Xa )
            | ! [SX1: $i > $o] :
                ~ ( SX1 @ sK2_SY6 )
            | ~ ( SX0 @ sK3_SY11 ) )
      | ~ ! [SX0: $i > $o] :
            ( ~ ( SX0 @ sK1_Xa )
            | ~ ( sK4_SY15 @ sK2_SY6 )
            | ~ ( SX0 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(28,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ( ~ ( SX0 @ sK1_Xa )
              | ~ ( SX0 @ sK2_SY6 ) )
          | ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
      | ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(29,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ! [SX0: $i > $o] :
              ~ ( SX0 @ sK2_SY6 )
          | ( sK4_SY15 @ sK3_SY11 ) )
      | ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(30,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ( ~ ( SX0 @ sK1_Xa )
              | ~ ( SX0 @ sK2_SY6 ) )
          | ( sK4_SY15 @ sK3_SY11 ) )
      | ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[26]) ).

thf(31,plain,
    ( ( ~ ! [SX0: $i > $o] :
            ( ~ ( SX0 @ sK1_Xa )
            | ! [SX1: $i > $o] :
                ~ ( SX1 @ sK2_SY6 )
            | ~ ( SX0 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(32,plain,
    ( ( ~ ! [SX0: $i > $o] :
            ( ~ ( SX0 @ sK1_Xa )
            | ~ ( sK4_SY15 @ sK2_SY6 )
            | ~ ( SX0 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(33,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ( ~ ( SX0 @ sK1_Xa )
              | ~ ( SX0 @ sK2_SY6 ) )
          | ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(34,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(35,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ! [SX0: $i > $o] :
              ~ ( SX0 @ sK2_SY6 )
          | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(36,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(37,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ( ~ ( SX0 @ sK1_Xa )
              | ~ ( SX0 @ sK2_SY6 ) )
          | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(38,plain,
    ( ( ~ ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ( sK4_SY15 @ sK3_SY11 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(39,plain,
    ( ( ! [SX0: $i > $o] :
          ( ~ ( SX0 @ sK1_Xa )
          | ! [SX1: $i > $o] :
              ~ ( SX1 @ sK2_SY6 )
          | ~ ( SX0 @ sK3_SY11 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(40,plain,
    ( ( ! [SX0: $i > $o] :
          ( ~ ( SX0 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 )
          | ~ ( SX0 @ sK3_SY11 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[32]) ).

thf(41,plain,
    ( ( ! [SX0: $i > $o] :
          ( ~ ( SX0 @ sK1_Xa )
          | ~ ( SX0 @ sK2_SY6 ) )
      | ! [SX0: $i > $o] :
          ~ ( SX0 @ sK3_SY11 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(42,plain,
    ( ( ! [SX0: $i > $o] :
          ~ ( SX0 @ sK1_Xa )
      | ~ ( sK4_SY15 @ sK2_SY6 )
      | ! [SX0: $i > $o] :
          ~ ( SX0 @ sK3_SY11 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[34]) ).

thf(43,plain,
    ( ( ! [SX0: $i > $o] :
          ~ ( SX0 @ sK1_Xa )
      | ! [SX0: $i > $o] :
          ~ ( SX0 @ sK2_SY6 )
      | ( sK4_SY15 @ sK3_SY11 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(44,plain,
    ( ( ! [SX0: $i > $o] :
          ~ ( SX0 @ sK1_Xa )
      | ~ ( sK4_SY15 @ sK2_SY6 )
      | ( sK4_SY15 @ sK3_SY11 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(45,plain,
    ( ( ! [SX0: $i > $o] :
          ( ~ ( SX0 @ sK1_Xa )
          | ~ ( SX0 @ sK2_SY6 ) )
      | ( sK4_SY15 @ sK3_SY11 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[37]) ).

thf(46,plain,
    ( ( ! [SX0: $i > $o] :
          ~ ( SX0 @ sK1_Xa )
      | ~ ( sK4_SY15 @ sK2_SY6 )
      | ( sK4_SY15 @ sK3_SY11 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[38]) ).

thf(47,plain,
    ! [SV1: $i > $o] :
      ( ( ~ ( SV1 @ sK1_Xa )
        | ! [SX1: $i > $o] :
            ~ ( SX1 @ sK2_SY6 )
        | ~ ( SV1 @ sK3_SY11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(48,plain,
    ! [SV2: $i > $o] :
      ( ( ~ ( SV2 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 )
        | ~ ( SV2 @ sK3_SY11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(49,plain,
    ( ( ( ! [SX0: $i > $o] :
            ( ~ ( SX0 @ sK1_Xa )
            | ~ ( SX0 @ sK2_SY6 ) ) )
      = $true )
    | ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK3_SY11 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[41]) ).

thf(50,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 ) )
      = $true )
    | ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK3_SY11 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[42]) ).

thf(51,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa )
        | ! [SX0: $i > $o] :
            ~ ( SX0 @ sK2_SY6 ) )
      = $true )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[43]) ).

thf(52,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 ) )
      = $true )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[44]) ).

thf(53,plain,
    ( ( ( ! [SX0: $i > $o] :
            ( ~ ( SX0 @ sK1_Xa )
            | ~ ( SX0 @ sK2_SY6 ) ) )
      = $true )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[45]) ).

thf(54,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa )
        | ~ ( sK4_SY15 @ sK2_SY6 ) )
      = $true )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(55,plain,
    ! [SV1: $i > $o] :
      ( ( ( ~ ( SV1 @ sK1_Xa )
          | ! [SX1: $i > $o] :
              ~ ( SX1 @ sK2_SY6 ) )
        = $true )
      | ( ( ~ ( SV1 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[47]) ).

thf(56,plain,
    ! [SV2: $i > $o] :
      ( ( ( ~ ( SV2 @ sK1_Xa )
          | ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( ~ ( SV2 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(57,plain,
    ! [SV3: $i > $o] :
      ( ( ( ~ ( SV3 @ sK1_Xa )
          | ~ ( SV3 @ sK2_SY6 ) )
        = $true )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[49]) ).

thf(58,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa ) )
      = $true )
    | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
      = $true )
    | ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK3_SY11 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[50]) ).

thf(59,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa ) )
      = $true )
    | ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK2_SY6 ) )
      = $true )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[51]) ).

thf(60,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa ) )
      = $true )
    | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
      = $true )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(61,plain,
    ! [SV4: $i > $o] :
      ( ( ( ~ ( SV4 @ sK1_Xa )
          | ~ ( SV4 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[53]) ).

thf(62,plain,
    ( ( ( ! [SX0: $i > $o] :
            ~ ( SX0 @ sK1_Xa ) )
      = $true )
    | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
      = $true )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(63,plain,
    ! [SV1: $i > $o] :
      ( ( ( ~ ( SV1 @ sK1_Xa ) )
        = $true )
      | ( ( ! [SX1: $i > $o] :
              ~ ( SX1 @ sK2_SY6 ) )
        = $true )
      | ( ( ~ ( SV1 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(64,plain,
    ! [SV2: $i > $o] :
      ( ( ( ~ ( SV2 @ sK1_Xa ) )
        = $true )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( ~ ( SV2 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[56]) ).

thf(65,plain,
    ! [SV3: $i > $o] :
      ( ( ( ~ ( SV3 @ sK1_Xa ) )
        = $true )
      | ( ( ~ ( SV3 @ sK2_SY6 ) )
        = $true )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(66,plain,
    ! [SV5: $i > $o] :
      ( ( ( ~ ( SV5 @ sK1_Xa ) )
        = $true )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(67,plain,
    ! [SV6: $i > $o] :
      ( ( ( ~ ( SV6 @ sK1_Xa ) )
        = $true )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(68,plain,
    ! [SV7: $i > $o] :
      ( ( ( ~ ( SV7 @ sK1_Xa ) )
        = $true )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(69,plain,
    ! [SV4: $i > $o] :
      ( ( ( ~ ( SV4 @ sK1_Xa ) )
        = $true )
      | ( ( ~ ( SV4 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(70,plain,
    ! [SV8: $i > $o] :
      ( ( ( ~ ( SV8 @ sK1_Xa ) )
        = $true )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(71,plain,
    ! [SV1: $i > $o] :
      ( ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( ! [SX1: $i > $o] :
              ~ ( SX1 @ sK2_SY6 ) )
        = $true )
      | ( ( ~ ( SV1 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(72,plain,
    ! [SV2: $i > $o] :
      ( ( ( SV2 @ sK1_Xa )
        = $false )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( ~ ( SV2 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(73,plain,
    ! [SV3: $i > $o] :
      ( ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( ~ ( SV3 @ sK2_SY6 ) )
        = $true )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(74,plain,
    ! [SV5: $i > $o] :
      ( ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(75,plain,
    ! [SV6: $i > $o] :
      ( ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[67]) ).

thf(76,plain,
    ! [SV7: $i > $o] :
      ( ( ( SV7 @ sK1_Xa )
        = $false )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[68]) ).

thf(77,plain,
    ! [SV4: $i > $o] :
      ( ( ( SV4 @ sK1_Xa )
        = $false )
      | ( ( ~ ( SV4 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(78,plain,
    ! [SV8: $i > $o] :
      ( ( ( SV8 @ sK1_Xa )
        = $false )
      | ( ( ~ ( sK4_SY15 @ sK2_SY6 ) )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(79,plain,
    ! [SV1: $i > $o,SV9: $i > $o] :
      ( ( ( ~ ( SV9 @ sK2_SY6 ) )
        = $true )
      | ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( ~ ( SV1 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[71]) ).

thf(80,plain,
    ! [SV2: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( SV2 @ sK1_Xa )
        = $false )
      | ( ( ~ ( SV2 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[72]) ).

thf(81,plain,
    ! [SV3: $i > $o] :
      ( ( ( SV3 @ sK2_SY6 )
        = $false )
      | ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(82,plain,
    ! [SV5: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( ! [SX0: $i > $o] :
              ~ ( SX0 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(83,plain,
    ! [SV6: $i > $o,SV10: $i > $o] :
      ( ( ( ~ ( SV10 @ sK2_SY6 ) )
        = $true )
      | ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[75]) ).

thf(84,plain,
    ! [SV7: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( SV7 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(85,plain,
    ! [SV4: $i > $o] :
      ( ( ( SV4 @ sK2_SY6 )
        = $false )
      | ( ( SV4 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[77]) ).

thf(86,plain,
    ! [SV8: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( SV8 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[78]) ).

thf(87,plain,
    ! [SV1: $i > $o,SV9: $i > $o] :
      ( ( ( SV9 @ sK2_SY6 )
        = $false )
      | ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( ~ ( SV1 @ sK3_SY11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(88,plain,
    ! [SV2: $i > $o] :
      ( ( ( SV2 @ sK3_SY11 )
        = $false )
      | ( ( SV2 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(89,plain,
    ! [SV3: $i > $o,SV11: $i > $o] :
      ( ( ( ~ ( SV11 @ sK3_SY11 ) )
        = $true )
      | ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( SV3 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[81]) ).

thf(90,plain,
    ! [SV5: $i > $o,SV12: $i > $o] :
      ( ( ( ~ ( SV12 @ sK3_SY11 ) )
        = $true )
      | ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[82]) ).

thf(91,plain,
    ! [SV6: $i > $o,SV10: $i > $o] :
      ( ( ( SV10 @ sK2_SY6 )
        = $false )
      | ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(92,plain,
    ! [SV9: $i > $o,SV1: $i > $o] :
      ( ( ( SV1 @ sK3_SY11 )
        = $false )
      | ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( SV9 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(93,plain,
    ! [SV3: $i > $o,SV11: $i > $o] :
      ( ( ( SV11 @ sK3_SY11 )
        = $false )
      | ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( SV3 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(94,plain,
    ! [SV5: $i > $o,SV12: $i > $o] :
      ( ( ( SV12 @ sK3_SY11 )
        = $false )
      | ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(95,plain,
    ( ( ( sK4_SY15 @ sK2_SY6 )
      = $false )
    | ( $true = $false )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(prim_subst,[status(thm)],[84:[bind(SV7,$thf( ^ [SV93: $i] : $true ))]]) ).

thf(97,plain,
    ! [SV91: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( ~ ( SV91 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[84:[bind(SV7,$thf( ^ [SV90: $i] : ~ ( SV91 @ SV90 ) ))]]) ).

thf(98,plain,
    ( ( ( sK4_SY15 @ sK2_SY6 )
      = $false )
    | ( ( sK1_Xa = sK1_Xa )
      = $false )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(prim_subst,[status(thm)],[84:[bind(SV7,$thf( ^ [SV94: $i] : ( SV94 = sK1_Xa ) ))]]) ).

thf(101,plain,
    ( ( $true = $false )
    | ( $true = $false )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(prim_subst,[status(thm)],[85:[bind(SV4,$thf( ^ [SV86: $i] : $true ))]]) ).

thf(103,plain,
    ! [SV84: $i > $o] :
      ( ( ( ~ ( SV84 @ sK2_SY6 ) )
        = $false )
      | ( ( ~ ( SV84 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[85:[bind(SV4,$thf( ^ [SV83: $i] : ~ ( SV84 @ SV83 ) ))]]) ).

thf(107,plain,
    ( ( ( sK4_SY15 @ sK2_SY6 )
      = $false )
    | ( $true = $false )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(prim_subst,[status(thm)],[86:[bind(SV8,$thf( ^ [SV79: $i] : $true ))]]) ).

thf(109,plain,
    ! [SV77: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( ~ ( SV77 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[86:[bind(SV8,$thf( ^ [SV76: $i] : ~ ( SV77 @ SV76 ) ))]]) ).

thf(110,plain,
    ( ( ( sK4_SY15 @ sK2_SY6 )
      = $false )
    | ( ( sK1_Xa = sK1_Xa )
      = $false )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(prim_subst,[status(thm)],[86:[bind(SV8,$thf( ^ [SV80: $i] : ( SV80 = sK1_Xa ) ))]]) ).

thf(113,plain,
    ( ( $true = $false )
    | ( $true = $false )
    | ( ( sK4_SY15 @ sK2_SY6 )
      = $false ) ),
    inference(prim_subst,[status(thm)],[88:[bind(SV2,$thf( ^ [SV72: $i] : $true ))]]) ).

thf(115,plain,
    ! [SV70: $i > $o] :
      ( ( ( ~ ( SV70 @ sK3_SY11 ) )
        = $false )
      | ( ( ~ ( SV70 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[88:[bind(SV2,$thf( ^ [SV69: $i] : ~ ( SV70 @ SV69 ) ))]]) ).

thf(119,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ sK2_SY6 )
        = $false )
      | ( $true = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV6,$thf( ^ [SV58: $i] : $true ))]]) ).

thf(121,plain,
    ! [SV56: $i > $o,SV10: $i > $o] :
      ( ( ( SV10 @ sK2_SY6 )
        = $false )
      | ( ( ~ ( SV56 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV6,$thf( ^ [SV55: $i] : ~ ( SV56 @ SV55 ) ))]]) ).

thf(122,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ sK2_SY6 )
        = $false )
      | ( ( sK1_Xa = sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV6,$thf( ^ [SV59: $i] : ( SV59 = sK1_Xa ) ))]]) ).

thf(125,plain,
    ! [SV6: $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV10,$thf( ^ [SV65: $i] : $true ))]]) ).

thf(127,plain,
    ! [SV6: $i > $o,SV63: $i > $o] :
      ( ( ( ~ ( SV63 @ sK2_SY6 ) )
        = $false )
      | ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV10,$thf( ^ [SV62: $i] : ~ ( SV63 @ SV62 ) ))]]) ).

thf(129,plain,
    ! [SV6: $i > $o] :
      ( ( ( sK2_SY6 = sK2_SY6 )
        = $false )
      | ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV10,$thf( ^ [SV67: $i] : ( SV67 = sK2_SY6 ) ))]]) ).

thf(131,plain,
    ! [SV1: $i > $o] :
      ( ( ( SV1 @ sK3_SY11 )
        = $false )
      | ( ( SV1 @ sK1_Xa )
        = $false )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[92:[bind(SV9,$thf( ^ [SV44: $i] : $true ))]]) ).

thf(133,plain,
    ! [SV42: $i > $o,SV1: $i > $o] :
      ( ( ( SV1 @ sK3_SY11 )
        = $false )
      | ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( ~ ( SV42 @ sK2_SY6 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[92:[bind(SV9,$thf( ^ [SV41: $i] : ~ ( SV42 @ SV41 ) ))]]) ).

thf(135,plain,
    ! [SV1: $i > $o] :
      ( ( ( SV1 @ sK3_SY11 )
        = $false )
      | ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( sK2_SY6 = sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[92:[bind(SV9,$thf( ^ [SV46: $i] : ( SV46 = sK2_SY6 ) ))]]) ).

thf(137,plain,
    ! [SV9: $i > $o] :
      ( ( $true = $false )
      | ( $true = $false )
      | ( ( SV9 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[92:[bind(SV1,$thf( ^ [SV51: $i] : $true ))]]) ).

thf(139,plain,
    ! [SV9: $i > $o,SV49: $i > $o] :
      ( ( ( ~ ( SV49 @ sK3_SY11 ) )
        = $false )
      | ( ( ~ ( SV49 @ sK1_Xa ) )
        = $false )
      | ( ( SV9 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[92:[bind(SV1,$thf( ^ [SV48: $i] : ~ ( SV49 @ SV48 ) ))]]) ).

thf(143,plain,
    ! [SV11: $i > $o] :
      ( ( ( SV11 @ sK3_SY11 )
        = $false )
      | ( $true = $false )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[93:[bind(SV3,$thf( ^ [SV30: $i] : $true ))]]) ).

thf(145,plain,
    ! [SV28: $i > $o,SV11: $i > $o] :
      ( ( ( SV11 @ sK3_SY11 )
        = $false )
      | ( ( ~ ( SV28 @ sK1_Xa ) )
        = $false )
      | ( ( ~ ( SV28 @ sK2_SY6 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[93:[bind(SV3,$thf( ^ [SV27: $i] : ~ ( SV28 @ SV27 ) ))]]) ).

thf(149,plain,
    ! [SV3: $i > $o] :
      ( ( $true = $false )
      | ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( SV3 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[93:[bind(SV11,$thf( ^ [SV37: $i] : $true ))]]) ).

thf(151,plain,
    ! [SV3: $i > $o,SV35: $i > $o] :
      ( ( ( ~ ( SV35 @ sK3_SY11 ) )
        = $false )
      | ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( SV3 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[93:[bind(SV11,$thf( ^ [SV34: $i] : ~ ( SV35 @ SV34 ) ))]]) ).

thf(154,plain,
    ! [SV3: $i > $o] :
      ( ( ( sK3_SY11 = sK3_SY11 )
        = $false )
      | ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( SV3 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[93:[bind(SV11,$thf( ^ [SV40: $i] : ( SV40 = sK3_SY11 ) ))]]) ).

thf(155,plain,
    ! [SV12: $i > $o] :
      ( ( ( SV12 @ sK3_SY11 )
        = $false )
      | ( $true = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[94:[bind(SV5,$thf( ^ [SV16: $i] : $true ))]]) ).

thf(157,plain,
    ! [SV14: $i > $o,SV12: $i > $o] :
      ( ( ( SV12 @ sK3_SY11 )
        = $false )
      | ( ( ~ ( SV14 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[94:[bind(SV5,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).

thf(158,plain,
    ! [SV12: $i > $o] :
      ( ( ( SV12 @ sK3_SY11 )
        = $false )
      | ( ( sK1_Xa = sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[94:[bind(SV5,$thf( ^ [SV17: $i] : ( SV17 = sK1_Xa ) ))]]) ).

thf(161,plain,
    ! [SV5: $i > $o] :
      ( ( $true = $false )
      | ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[94:[bind(SV12,$thf( ^ [SV23: $i] : $true ))]]) ).

thf(163,plain,
    ! [SV5: $i > $o,SV21: $i > $o] :
      ( ( ( ~ ( SV21 @ sK3_SY11 ) )
        = $false )
      | ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[94:[bind(SV12,$thf( ^ [SV20: $i] : ~ ( SV21 @ SV20 ) ))]]) ).

thf(166,plain,
    ! [SV5: $i > $o] :
      ( ( ( sK3_SY11 = sK3_SY11 )
        = $false )
      | ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[94:[bind(SV12,$thf( ^ [SV26: $i] : ( SV26 = sK3_SY11 ) ))]]) ).

thf(167,plain,
    ! [SV91: $i > $o] :
      ( ( ( SV91 @ sK1_Xa )
        = $true )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[97]) ).

thf(168,plain,
    ! [SV84: $i > $o] :
      ( ( ( SV84 @ sK2_SY6 )
        = $true )
      | ( ( ~ ( SV84 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[103]) ).

thf(169,plain,
    ! [SV77: $i > $o] :
      ( ( ( SV77 @ sK1_Xa )
        = $true )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[109]) ).

thf(170,plain,
    ! [SV70: $i > $o] :
      ( ( ( SV70 @ sK3_SY11 )
        = $true )
      | ( ( ~ ( SV70 @ sK1_Xa ) )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[115]) ).

thf(171,plain,
    ! [SV10: $i > $o,SV56: $i > $o] :
      ( ( ( SV56 @ sK1_Xa )
        = $true )
      | ( ( SV10 @ sK2_SY6 )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[121]) ).

thf(172,plain,
    ! [SV6: $i > $o,SV63: $i > $o] :
      ( ( ( SV63 @ sK2_SY6 )
        = $true )
      | ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[127]) ).

thf(173,plain,
    ! [SV1: $i > $o,SV42: $i > $o] :
      ( ( ( SV42 @ sK2_SY6 )
        = $true )
      | ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( SV1 @ sK3_SY11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[133]) ).

thf(174,plain,
    ! [SV9: $i > $o,SV49: $i > $o] :
      ( ( ( SV49 @ sK3_SY11 )
        = $true )
      | ( ( ~ ( SV49 @ sK1_Xa ) )
        = $false )
      | ( ( SV9 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[139]) ).

thf(175,plain,
    ! [SV11: $i > $o,SV28: $i > $o] :
      ( ( ( SV28 @ sK1_Xa )
        = $true )
      | ( ( SV11 @ sK3_SY11 )
        = $false )
      | ( ( ~ ( SV28 @ sK2_SY6 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(176,plain,
    ! [SV3: $i > $o,SV35: $i > $o] :
      ( ( ( SV35 @ sK3_SY11 )
        = $true )
      | ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( SV3 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[151]) ).

thf(177,plain,
    ! [SV12: $i > $o,SV14: $i > $o] :
      ( ( ( SV14 @ sK1_Xa )
        = $true )
      | ( ( SV12 @ sK3_SY11 )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[157]) ).

thf(178,plain,
    ! [SV5: $i > $o,SV21: $i > $o] :
      ( ( ( SV21 @ sK3_SY11 )
        = $true )
      | ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[163]) ).

thf(179,plain,
    ! [SV84: $i > $o] :
      ( ( ( SV84 @ sK1_Xa )
        = $true )
      | ( ( SV84 @ sK2_SY6 )
        = $true )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[168]) ).

thf(180,plain,
    ! [SV70: $i > $o] :
      ( ( ( SV70 @ sK1_Xa )
        = $true )
      | ( ( SV70 @ sK3_SY11 )
        = $true )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[170]) ).

thf(181,plain,
    ! [SV9: $i > $o,SV49: $i > $o] :
      ( ( ( SV49 @ sK1_Xa )
        = $true )
      | ( ( SV49 @ sK3_SY11 )
        = $true )
      | ( ( SV9 @ sK2_SY6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[174]) ).

thf(182,plain,
    ! [SV11: $i > $o,SV28: $i > $o] :
      ( ( ( SV28 @ sK2_SY6 )
        = $true )
      | ( ( SV11 @ sK3_SY11 )
        = $false )
      | ( ( SV28 @ sK1_Xa )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[175]) ).

thf(183,plain,
    ( ( ( sK4_SY15 @ sK3_SY11 )
      = $true )
    | ( ( sK4_SY15 @ sK2_SY6 )
      = $false ) ),
    inference(extuni,[status(esa)],[98]) ).

thf(184,plain,
    ( ( ( sK4_SY15 @ sK3_SY11 )
      = $true )
    | ( ( sK4_SY15 @ sK2_SY6 )
      = $false ) ),
    inference(extuni,[status(esa)],[110]) ).

thf(185,plain,
    ! [SV10: $i > $o] :
      ( ( ( sK4_SY15 @ sK3_SY11 )
        = $true )
      | ( ( SV10 @ sK2_SY6 )
        = $false ) ),
    inference(extuni,[status(esa)],[122]) ).

thf(186,plain,
    ! [SV6: $i > $o] :
      ( ( ( sK4_SY15 @ sK3_SY11 )
        = $true )
      | ( ( SV6 @ sK1_Xa )
        = $false ) ),
    inference(extuni,[status(esa)],[129]) ).

thf(187,plain,
    ! [SV1: $i > $o] :
      ( ( ( SV1 @ sK1_Xa )
        = $false )
      | ( ( SV1 @ sK3_SY11 )
        = $false ) ),
    inference(extuni,[status(esa)],[135]) ).

thf(188,plain,
    ! [SV3: $i > $o] :
      ( ( ( SV3 @ sK2_SY6 )
        = $false )
      | ( ( SV3 @ sK1_Xa )
        = $false ) ),
    inference(extuni,[status(esa)],[154]) ).

thf(189,plain,
    ! [SV12: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( SV12 @ sK3_SY11 )
        = $false ) ),
    inference(extuni,[status(esa)],[158]) ).

thf(190,plain,
    ! [SV5: $i > $o] :
      ( ( ( sK4_SY15 @ sK2_SY6 )
        = $false )
      | ( ( SV5 @ sK1_Xa )
        = $false ) ),
    inference(extuni,[status(esa)],[166]) ).

thf(191,plain,
    ( ( ( sK4_SY15 @ sK2_SY6 )
      = $false )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(sim,[status(thm)],[95]) ).

thf(192,plain,
    ( ( sK4_SY15 @ sK3_SY11 )
    = $true ),
    inference(sim,[status(thm)],[101]) ).

thf(193,plain,
    ( ( ( sK4_SY15 @ sK2_SY6 )
      = $false )
    | ( ( sK4_SY15 @ sK3_SY11 )
      = $true ) ),
    inference(sim,[status(thm)],[107]) ).

thf(194,plain,
    ( ( sK4_SY15 @ sK2_SY6 )
    = $false ),
    inference(sim,[status(thm)],[113]) ).

thf(195,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ sK2_SY6 )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(sim,[status(thm)],[119]) ).

thf(196,plain,
    ! [SV6: $i > $o] :
      ( ( ( SV6 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK3_SY11 )
        = $true ) ),
    inference(sim,[status(thm)],[125]) ).

thf(197,plain,
    ! [SV1: $i > $o] :
      ( ( ( SV1 @ sK3_SY11 )
        = $false )
      | ( ( SV1 @ sK1_Xa )
        = $false ) ),
    inference(sim,[status(thm)],[131]) ).

thf(198,plain,
    ! [SV9: $i > $o] :
      ( ( SV9 @ sK2_SY6 )
      = $false ),
    inference(sim,[status(thm)],[137]) ).

thf(199,plain,
    ! [SV11: $i > $o] :
      ( ( SV11 @ sK3_SY11 )
      = $false ),
    inference(sim,[status(thm)],[143]) ).

thf(200,plain,
    ! [SV3: $i > $o] :
      ( ( ( SV3 @ sK1_Xa )
        = $false )
      | ( ( SV3 @ sK2_SY6 )
        = $false ) ),
    inference(sim,[status(thm)],[149]) ).

thf(201,plain,
    ! [SV12: $i > $o] :
      ( ( ( SV12 @ sK3_SY11 )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(sim,[status(thm)],[155]) ).

thf(202,plain,
    ! [SV5: $i > $o] :
      ( ( ( SV5 @ sK1_Xa )
        = $false )
      | ( ( sK4_SY15 @ sK2_SY6 )
        = $false ) ),
    inference(sim,[status(thm)],[161]) ).

thf(203,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[84,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,173,172,171,169,167,94,93,92,91,88,86,85]) ).

thf(204,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[203]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO260^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  9 02:10:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  
% 0.13/0.36   No.of.Axioms: 0
% 0.13/0.36  
% 0.13/0.36   Length.of.Defs: 0
% 0.13/0.36  
% 0.13/0.36   Contains.Choice.Funs: false
% 0.13/0.36  (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)..........
% 0.53/0.72  
% 0.53/0.72  ********************************
% 0.53/0.72  *   All subproblems solved!    *
% 0.53/0.72  ********************************
% 0.53/0.72  % 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:203,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.53/0.74  
% 0.53/0.74  %**** Beginning of derivation protocol ****
% 0.53/0.74  % SZS output start CNFRefutation
% See solution above
% 0.53/0.74  
% 0.53/0.74  %**** End of derivation protocol ****
% 0.53/0.74  %**** no. of clauses in derivation: 164 ****
% 0.53/0.74  %**** clause counter: 203 ****
% 0.53/0.74  
% 0.53/0.74  % 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:203,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------