TSTP Solution File: SEV062^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEV062^5 : 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 : n029.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 17:34:37 EDT 2022

% Result   : Theorem 0.12s 0.41s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   79 (  33 unt;   9 typ;   0 def)
%            Number of atoms       :  412 ( 136 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives : 1300 ( 208   ~; 155   |;  40   &; 846   @)
%                                         (   0 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  123 ( 123   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  210 (   0   ^ 210   !;   0   ?; 210   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK1_Xr,type,
    sK1_Xr: $i > $i > $o ).

thf(tp_sK2_SY15,type,
    sK2_SY15: $i ).

thf(tp_sK3_SY29,type,
    sK3_SY29: $i ).

thf(tp_sK4_SY48,type,
    sK4_SY48: $i > $i > $o ).

thf(tp_sK5_SY20,type,
    sK5_SY20: ( $i > $i > $o ) > $i ).

thf(tp_sK6_SY59,type,
    sK6_SY59: ( $i > $i > $o ) > $i ).

thf(tp_sK7_SY61,type,
    sK7_SY61: ( $i > $i > $o ) > $i ).

thf(tp_sK8_SY18,type,
    sK8_SY18: ( $i > $i > $o ) > $i ).

thf(tp_sK9_SY62,type,
    sK9_SY62: ( $i > $i > $o ) > $i ).

thf(1,conjecture,
    ! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
      ( ! [Xp: $i > $i > $o] :
          ( ( ! [Xx0: $i,Xy0: $i] :
                ( ( Xr @ Xx0 @ Xy0 )
               => ( Xp @ Xx0 @ Xy0 ) )
            & ! [Xu: $i,Xv: $i,Xw: $i] :
                ( ( ( Xp @ Xu @ Xv )
                  & ( Xr @ Xv @ Xw ) )
               => ( Xp @ Xu @ Xw ) ) )
         => ( Xp @ Xx @ Xy ) )
     => ! [Xp: $i > $i > $o] :
          ( ( ! [Xx0: $i,Xy0: $i] :
                ( ( Xr @ Xx0 @ Xy0 )
               => ( Xp @ Xx0 @ Xy0 ) )
            & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                ( ( ( Xp @ Xx0 @ Xy0 )
                  & ( Xp @ Xy0 @ Xz ) )
               => ( Xp @ Xx0 @ Xz ) ) )
         => ( Xp @ Xx @ Xy ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cT146A_pme) ).

thf(2,negated_conjecture,
    ( ( ! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
          ( ! [Xp: $i > $i > $o] :
              ( ( ! [Xx0: $i,Xy0: $i] :
                    ( ( Xr @ Xx0 @ Xy0 )
                   => ( Xp @ Xx0 @ Xy0 ) )
                & ! [Xu: $i,Xv: $i,Xw: $i] :
                    ( ( ( Xp @ Xu @ Xv )
                      & ( Xr @ Xv @ Xw ) )
                   => ( Xp @ Xu @ Xw ) ) )
             => ( Xp @ Xx @ Xy ) )
         => ! [Xp: $i > $i > $o] :
              ( ( ! [Xx0: $i,Xy0: $i] :
                    ( ( Xr @ Xx0 @ Xy0 )
                   => ( Xp @ Xx0 @ Xy0 ) )
                & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                    ( ( ( Xp @ Xx0 @ Xy0 )
                      & ( Xp @ Xy0 @ Xz ) )
                   => ( Xp @ Xx0 @ Xz ) ) )
             => ( Xp @ Xx @ Xy ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
          ( ! [Xp: $i > $i > $o] :
              ( ( ! [Xx0: $i,Xy0: $i] :
                    ( ( Xr @ Xx0 @ Xy0 )
                   => ( Xp @ Xx0 @ Xy0 ) )
                & ! [Xu: $i,Xv: $i,Xw: $i] :
                    ( ( ( Xp @ Xu @ Xv )
                      & ( Xr @ Xv @ Xw ) )
                   => ( Xp @ Xu @ Xw ) ) )
             => ( Xp @ Xx @ Xy ) )
         => ! [Xp: $i > $i > $o] :
              ( ( ! [Xx0: $i,Xy0: $i] :
                    ( ( Xr @ Xx0 @ Xy0 )
                   => ( Xp @ Xx0 @ Xy0 ) )
                & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                    ( ( ( Xp @ Xx0 @ Xy0 )
                      & ( Xp @ Xy0 @ Xz ) )
                   => ( Xp @ Xx0 @ Xz ) ) )
             => ( Xp @ Xx @ Xy ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [SY15: $i,SY16: $i] :
          ( ! [SY17: $i > $i > $o] :
              ( ( ! [SY18: $i,SY19: $i] :
                    ( ( sK1_Xr @ SY18 @ SY19 )
                   => ( SY17 @ SY18 @ SY19 ) )
                & ! [SY20: $i,SY21: $i,SY22: $i] :
                    ( ( ( SY17 @ SY20 @ SY21 )
                      & ( sK1_Xr @ SY21 @ SY22 ) )
                   => ( SY17 @ SY20 @ SY22 ) ) )
             => ( SY17 @ SY15 @ SY16 ) )
         => ! [SY23: $i > $i > $o] :
              ( ( ! [SY24: $i,SY25: $i] :
                    ( ( sK1_Xr @ SY24 @ SY25 )
                   => ( SY23 @ SY24 @ SY25 ) )
                & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                    ( ( ( SY23 @ Xx0 @ Xy0 )
                      & ( SY23 @ Xy0 @ Xz ) )
                   => ( SY23 @ Xx0 @ Xz ) ) )
             => ( SY23 @ SY15 @ SY16 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY29: $i] :
          ( ! [SY30: $i > $i > $o] :
              ( ( ! [SY18: $i,SY19: $i] :
                    ( ( sK1_Xr @ SY18 @ SY19 )
                   => ( SY30 @ SY18 @ SY19 ) )
                & ! [SY20: $i,SY21: $i,SY22: $i] :
                    ( ( ( SY30 @ SY20 @ SY21 )
                      & ( sK1_Xr @ SY21 @ SY22 ) )
                   => ( SY30 @ SY20 @ SY22 ) ) )
             => ( SY30 @ sK2_SY15 @ SY29 ) )
         => ! [SY36: $i > $i > $o] :
              ( ( ! [SY24: $i,SY25: $i] :
                    ( ( sK1_Xr @ SY24 @ SY25 )
                   => ( SY36 @ SY24 @ SY25 ) )
                & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                    ( ( ( SY36 @ Xx0 @ Xy0 )
                      & ( SY36 @ Xy0 @ Xz ) )
                   => ( SY36 @ Xx0 @ Xz ) ) )
             => ( SY36 @ sK2_SY15 @ SY29 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [SY42: $i > $i > $o] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_Xr @ SY18 @ SY19 )
               => ( SY42 @ SY18 @ SY19 ) )
            & ! [SY20: $i,SY21: $i,SY22: $i] :
                ( ( ( SY42 @ SY20 @ SY21 )
                  & ( sK1_Xr @ SY21 @ SY22 ) )
               => ( SY42 @ SY20 @ SY22 ) ) )
         => ( SY42 @ sK2_SY15 @ sK3_SY29 ) )
     => ! [SY48: $i > $i > $o] :
          ( ( ! [SY24: $i,SY25: $i] :
                ( ( sK1_Xr @ SY24 @ SY25 )
               => ( SY48 @ SY24 @ SY25 ) )
            & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                ( ( ( SY48 @ Xx0 @ Xy0 )
                  & ( SY48 @ Xy0 @ Xz ) )
               => ( SY48 @ Xx0 @ Xz ) ) )
         => ( SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
    ( ( ! [SY42: $i > $i > $o] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_Xr @ SY18 @ SY19 )
               => ( SY42 @ SY18 @ SY19 ) )
            & ! [SY20: $i,SY21: $i,SY22: $i] :
                ( ( ( SY42 @ SY20 @ SY21 )
                  & ( sK1_Xr @ SY21 @ SY22 ) )
               => ( SY42 @ SY20 @ SY22 ) ) )
         => ( SY42 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ! [SY48: $i > $i > $o] :
          ( ( ! [SY24: $i,SY25: $i] :
                ( ( sK1_Xr @ SY24 @ SY25 )
               => ( SY48 @ SY24 @ SY25 ) )
            & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                ( ( ( SY48 @ Xx0 @ Xy0 )
                  & ( SY48 @ Xy0 @ Xz ) )
               => ( SY48 @ Xx0 @ Xz ) ) )
         => ( SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[6]) ).

thf(9,plain,
    ( ( ~ ! [SY48: $i > $i > $o] :
            ( ( ! [SY24: $i,SY25: $i] :
                  ( ( sK1_Xr @ SY24 @ SY25 )
                 => ( SY48 @ SY24 @ SY25 ) )
              & ! [Xx0: $i,Xy0: $i,Xz: $i] :
                  ( ( ( SY48 @ Xx0 @ Xy0 )
                    & ( SY48 @ Xy0 @ Xz ) )
                 => ( SY48 @ Xx0 @ Xz ) ) )
           => ( SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[8]) ).

thf(10,plain,
    ( ( ! [SY54: $i,SY55: $i] :
          ( ~ ( sK1_Xr @ SY54 @ SY55 )
          | ( sK4_SY48 @ SY54 @ SY55 ) )
      & ! [SY56: $i,SY57: $i,SY58: $i] :
          ( ~ ( sK4_SY48 @ SY56 @ SY57 )
          | ~ ( sK4_SY48 @ SY57 @ SY58 )
          | ( sK4_SY48 @ SY56 @ SY58 ) )
      & ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(11,plain,
    ( ( ! [SY42: $i > $i > $o] :
          ( ( ( sK1_Xr @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) )
            & ~ ( SY42 @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) ) )
          | ( ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK6_SY59 @ SY42 ) )
            & ( sK1_Xr @ ( sK6_SY59 @ SY42 ) @ ( sK7_SY61 @ SY42 ) )
            & ~ ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK7_SY61 @ SY42 ) ) )
          | ( SY42 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[7]) ).

thf(12,plain,
    ( ( ! [SY42: $i > $i > $o] :
          ( ( ( sK1_Xr @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) )
            & ~ ( SY42 @ ( sK8_SY18 @ SY42 ) @ ( sK9_SY62 @ SY42 ) ) )
          | ( ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK6_SY59 @ SY42 ) )
            & ( sK1_Xr @ ( sK6_SY59 @ SY42 ) @ ( sK7_SY61 @ SY42 ) )
            & ~ ( SY42 @ ( sK5_SY20 @ SY42 ) @ ( sK7_SY61 @ SY42 ) ) )
          | ( SY42 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(13,plain,
    ( ( ! [SY54: $i,SY55: $i] :
          ( ~ ( sK1_Xr @ SY54 @ SY55 )
          | ( sK4_SY48 @ SY54 @ SY55 ) )
      & ! [SY56: $i,SY57: $i,SY58: $i] :
          ( ~ ( sK4_SY48 @ SY56 @ SY57 )
          | ~ ( sK4_SY48 @ SY57 @ SY58 )
          | ( sK4_SY48 @ SY56 @ SY58 ) )
      & ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(14,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( sK1_Xr @ SX0 @ SX1 )
                      | ( sK4_SY48 @ SX0 @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                      ( ~ ( sK4_SY48 @ SX0 @ SX1 )
                      | ~ ( sK4_SY48 @ SX1 @ SX2 )
                      | ( sK4_SY48 @ SX0 @ SX2 ) ) )
          | ~ ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(15,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SX0 ) @ ( sK9_SY62 @ SX0 ) )
              | ~ ~ ( SX0 @ ( sK8_SY18 @ SX0 ) @ ( sK9_SY62 @ SX0 ) ) )
          | ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_SY20 @ SX0 ) @ ( sK6_SY59 @ SX0 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SX0 ) @ ( sK7_SY61 @ SX0 ) ) )
              | ~ ~ ( SX0 @ ( sK5_SY20 @ SX0 ) @ ( sK7_SY61 @ SX0 ) ) )
          | ( SX0 @ sK2_SY15 @ sK3_SY29 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(16,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( sK1_Xr @ SX0 @ SX1 )
                  | ( sK4_SY48 @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                  ( ~ ( sK4_SY48 @ SX0 @ SX1 )
                  | ~ ( sK4_SY48 @ SX1 @ SX2 )
                  | ( sK4_SY48 @ SX0 @ SX2 ) ) )
      | ~ ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[14]) ).

thf(17,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
            | ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
        | ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                  | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
            | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        | ( SV1 @ sK2_SY15 @ sK3_SY29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[15]) ).

thf(18,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( sK1_Xr @ SX0 @ SX1 )
                  | ( sK4_SY48 @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                  ( ~ ( sK4_SY48 @ SX0 @ SX1 )
                  | ~ ( sK4_SY48 @ SX1 @ SX2 )
                  | ( sK4_SY48 @ SX0 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(19,plain,
    ( ( ~ ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(20,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
              | ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
          | ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[17]) ).

thf(21,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( sK1_Xr @ SX0 @ SX1 )
                | ( sK4_SY48 @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                ( ~ ( sK4_SY48 @ SX0 @ SX1 )
                | ~ ( sK4_SY48 @ SX1 @ SX2 )
                | ( sK4_SY48 @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[18]) ).

thf(22,plain,
    ( ( ~ ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(23,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
              | ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[20]) ).

thf(24,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( sK1_Xr @ SX0 @ SX1 )
            | ( sK4_SY48 @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i,SX2: $i] :
            ( ~ ( sK4_SY48 @ SX0 @ SX1 )
            | ~ ( sK4_SY48 @ SX1 @ SX2 )
            | ( sK4_SY48 @ SX0 @ SX2 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[21]) ).

thf(25,plain,
    ( ( sK4_SY48 @ sK2_SY15 @ sK3_SY29 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(26,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
          | ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(27,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( sK1_Xr @ SX0 @ SX1 )
            | ( sK4_SY48 @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(28,plain,
    ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
            ( ~ ( sK4_SY48 @ SX0 @ SX1 )
            | ~ ( sK4_SY48 @ SX1 @ SX2 )
            | ( sK4_SY48 @ SX0 @ SX2 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(29,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(31,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( sK1_Xr @ SX0 @ SX1 )
          | ( sK4_SY48 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[27]) ).

thf(32,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( sK4_SY48 @ SX0 @ SX1 )
          | ~ ( sK4_SY48 @ SX1 @ SX2 )
          | ( sK4_SY48 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(33,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[29]) ).

thf(34,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[30]) ).

thf(35,plain,
    ! [SV2: $i] :
      ( ( ! [SY63: $i] :
            ( ~ ( sK1_Xr @ SV2 @ SY63 )
            | ( sK4_SY48 @ SV2 @ SY63 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(36,plain,
    ! [SV3: $i] :
      ( ( ! [SY64: $i,SY65: $i] :
            ( ~ ( sK4_SY48 @ SV3 @ SY64 )
            | ~ ( sK4_SY48 @ SY64 @ SY65 )
            | ( sK4_SY48 @ SV3 @ SY65 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(37,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
          | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[33]) ).

thf(38,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                    | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
              | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(39,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ~ ( sK1_Xr @ SV2 @ SV4 )
        | ( sK4_SY48 @ SV2 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

thf(40,plain,
    ! [SV5: $i,SV3: $i] :
      ( ( ! [SY66: $i] :
            ( ~ ( sK4_SY48 @ SV3 @ SV5 )
            | ~ ( sK4_SY48 @ SV5 @ SY66 )
            | ( sK4_SY48 @ SV3 @ SY66 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[36]) ).

thf(41,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $false )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(42,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(43,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
          | ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(44,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( sK1_Xr @ SV2 @ SV4 ) )
        = $true )
      | ( ( sK4_SY48 @ SV2 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[39]) ).

thf(45,plain,
    ! [SV6: $i,SV5: $i,SV3: $i] :
      ( ( ~ ( sK4_SY48 @ SV3 @ SV5 )
        | ~ ( sK4_SY48 @ SV5 @ SV6 )
        | ( sK4_SY48 @ SV3 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(46,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
              | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[41]) ).

thf(47,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $true )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
                | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(50,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( sK1_Xr @ SV2 @ SV4 )
        = $false )
      | ( ( sK4_SY48 @ SV2 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[44]) ).

thf(51,plain,
    ! [SV6: $i,SV5: $i,SV3: $i] :
      ( ( ( ~ ( sK4_SY48 @ SV3 @ SV5 )
          | ~ ( sK4_SY48 @ SV5 @ SV6 ) )
        = $true )
      | ( ( sK4_SY48 @ SV3 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[45]) ).

thf(52,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
          | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(53,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
        = $false )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(54,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
              | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[48]) ).

thf(55,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $true )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(56,plain,
    ! [SV6: $i,SV5: $i,SV3: $i] :
      ( ( ( ~ ( sK4_SY48 @ SV3 @ SV5 ) )
        = $true )
      | ( ( ~ ( sK4_SY48 @ SV5 @ SV6 ) )
        = $true )
      | ( ( sK4_SY48 @ SV3 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[51]) ).

thf(57,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) ) )
        = $false )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(58,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(59,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
          | ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(60,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(61,plain,
    ! [SV6: $i,SV5: $i,SV3: $i] :
      ( ( ( sK4_SY48 @ SV3 @ SV5 )
        = $false )
      | ( ( ~ ( sK4_SY48 @ SV5 @ SV6 ) )
        = $true )
      | ( ( sK4_SY48 @ SV3 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(62,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
        = $true )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[57]) ).

thf(63,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
        = $true )
      | ( ( sK1_Xr @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $true )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(64,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[59]) ).

thf(65,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( ~ ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV3: $i,SV6: $i,SV5: $i] :
      ( ( ( sK4_SY48 @ SV5 @ SV6 )
        = $false )
      | ( ( sK4_SY48 @ SV3 @ SV5 )
        = $false )
      | ( ( sK4_SY48 @ SV3 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(67,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( SV1 @ ( sK5_SY20 @ SV1 ) @ ( sK6_SY59 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[64]) ).

thf(68,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ( sK1_Xr @ ( sK6_SY59 @ SV1 ) @ ( sK7_SY61 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK9_SY62 @ SV1 ) )
        = $false )
      | ( ( SV1 @ sK2_SY15 @ sK3_SY29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[65]) ).

thf(69,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[25,68,67,66,63,62,60,53,50]) ).

thf(70,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEV062^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 28 17:23:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  
% 0.12/0.34   No.of.Axioms: 0
% 0.12/0.34  
% 0.12/0.34   Length.of.Defs: 0
% 0.12/0.34  
% 0.12/0.34   Contains.Choice.Funs: false
% 0.12/0.35  (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)...
% 0.12/0.41  
% 0.12/0.41  ********************************
% 0.12/0.41  *   All subproblems solved!    *
% 0.12/0.41  ********************************
% 0.12/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:69,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.41  
% 0.12/0.41  %**** Beginning of derivation protocol ****
% 0.12/0.41  % SZS output start CNFRefutation
% See solution above
% 0.18/0.41  
% 0.18/0.41  %**** End of derivation protocol ****
% 0.18/0.41  %**** no. of clauses in derivation: 70 ****
% 0.18/0.41  %**** clause counter: 69 ****
% 0.18/0.41  
% 0.18/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:69,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------