TSTP Solution File: SEV167^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEV167^5 : 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 : n032.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 17:35:27 EDT 2022

% Result   : Theorem 3.20s 3.40s
% Output   : CNFRefutation 3.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  111 (  20 unt;  34 typ;   0 def)
%            Number of atoms       :  512 ( 318 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives :  569 (  28   ~;  94   |;   8   &; 424   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  402 ( 402   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  33 usr;  30 con; 0-4 aty)
%            Number of variables   :  395 ( 262   ^ 133   !;   0   ?; 395   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a,type,
    a: $tType ).

thf(tp_sK10_E,type,
    sK10_E: a ).

thf(tp_sK11_E,type,
    sK11_E: a ).

thf(tp_sK12_E,type,
    sK12_E: a ).

thf(tp_sK13_E,type,
    sK13_E: a ).

thf(tp_sK14_E,type,
    sK14_E: a ).

thf(tp_sK15_E,type,
    sK15_E: a ).

thf(tp_sK16_E,type,
    sK16_E: a ).

thf(tp_sK17_E,type,
    sK17_E: a ).

thf(tp_sK18_E,type,
    sK18_E: a ).

thf(tp_sK19_E,type,
    sK19_E: a ).

thf(tp_sK1_Xr,type,
    sK1_Xr: a > a > a > a > $o ).

thf(tp_sK20_E,type,
    sK20_E: a ).

thf(tp_sK21_E,type,
    sK21_E: a ).

thf(tp_sK22_E,type,
    sK22_E: a ).

thf(tp_sK23_E,type,
    sK23_E: a ).

thf(tp_sK24_E,type,
    sK24_E: a ).

thf(tp_sK25_E,type,
    sK25_E: a ).

thf(tp_sK26_E,type,
    sK26_E: a ).

thf(tp_sK27_E,type,
    sK27_E: a ).

thf(tp_sK28_E,type,
    sK28_E: a ).

thf(tp_sK29_E,type,
    sK29_E: a ).

thf(tp_sK2_SY25,type,
    sK2_SY25: a ).

thf(tp_sK30_E,type,
    sK30_E: a > a > a ).

thf(tp_sK31_E,type,
    sK31_E: a > a > a ).

thf(tp_sK32_E,type,
    sK32_E: a > a > a ).

thf(tp_sK33_E,type,
    sK33_E: a > a > a ).

thf(tp_sK3_SY29,type,
    sK3_SY29: a ).

thf(tp_sK4_SY32,type,
    sK4_SY32: a ).

thf(tp_sK5_SY34,type,
    sK5_SY34: a ).

thf(tp_sK6_E,type,
    sK6_E: a ).

thf(tp_sK7_E,type,
    sK7_E: a ).

thf(tp_sK8_E,type,
    sK8_E: a ).

thf(tp_sK9_E,type,
    sK9_E: a ).

thf(1,conjecture,
    ! [Xr: a > a > a > a > $o] :
      ( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
          ( ( Xr
            @ ( Xp
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( Xp
              @ ^ [Xx: a,Xy: a] : Xy )
            @ ( Xq
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( Xq
              @ ^ [Xx: a,Xy: a] : Xy ) )
         => ( Xp = Xq ) )
     => ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
          ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
         => ( ( Xx1 = Xx2 )
            & ( Xy1 = Xy2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM189_pme) ).

thf(2,negated_conjecture,
    ( ( ! [Xr: a > a > a > a > $o] :
          ( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
              ( ( Xr
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xy )
                @ ( Xq
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xq
                  @ ^ [Xx: a,Xy: a] : Xy ) )
             => ( Xp = Xq ) )
         => ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
              ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
             => ( ( Xx1 = Xx2 )
                & ( Xy1 = Xy2 ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [Xr: a > a > a > a > $o] :
          ( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
              ( ( Xr
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xy )
                @ ( Xq
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xq
                  @ ^ [Xx: a,Xy: a] : Xy ) )
             => ( Xp = Xq ) )
         => ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
              ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
             => ( ( Xx1 = Xx2 )
                & ( Xy1 = Xy2 ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [SY15: ( a > a > a ) > a,SY16: ( a > a > a ) > a] :
          ( ( sK1_Xr
            @ ( SY15
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( SY15
              @ ^ [Xx: a,Xy: a] : Xy )
            @ ( SY16
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( SY16
              @ ^ [Xx: a,Xy: a] : Xy ) )
         => ( SY15 = SY16 ) )
     => ! [SY25: a,SY26: a,SY27: a,SY28: a] :
          ( ( sK1_Xr @ SY25 @ SY26 @ SY27 @ SY28 )
         => ( ( SY25 = SY27 )
            & ( SY26 = SY28 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY15: ( a > a > a ) > a,SY16: ( a > a > a ) > a] :
          ( ( sK1_Xr
            @ ( SY15
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( SY15
              @ ^ [Xx: a,Xy: a] : Xy )
            @ ( SY16
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( SY16
              @ ^ [Xx: a,Xy: a] : Xy ) )
         => ( SY15 = SY16 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[4]) ).

thf(6,plain,
    ( ( ! [SY25: a,SY26: a,SY27: a,SY28: a] :
          ( ( sK1_Xr @ SY25 @ SY26 @ SY27 @ SY28 )
         => ( ( SY25 = SY27 )
            & ( SY26 = SY28 ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[4]) ).

thf(7,plain,
    ( ( ~ ! [SY25: a,SY26: a,SY27: a,SY28: a] :
            ( ( sK1_Xr @ SY25 @ SY26 @ SY27 @ SY28 )
           => ( ( SY25 = SY27 )
              & ( SY26 = SY28 ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 )
      & ( ( sK2_SY25 != sK4_SY32 )
        | ( sK3_SY29 != sK5_SY34 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[7]) ).

thf(9,plain,
    ( ( ! [SY15: ( a > a > a ) > a,SY16: ( a > a > a ) > a] :
          ( ~ ( sK1_Xr
              @ ( SY15
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( SY15
                @ ^ [Xx: a,Xy: a] : Xy )
              @ ( SY16
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( SY16
                @ ^ [Xx: a,Xy: a] : Xy ) )
          | ( SY15 = SY16 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[5]) ).

thf(10,plain,
    ( ( ! [SY15: ( a > a > a ) > a,SY16: ( a > a > a ) > a] :
          ( ~ ( sK1_Xr
              @ ( SY15
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( SY15
                @ ^ [Xx: a,Xy: a] : Xy )
              @ ( SY16
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( SY16
                @ ^ [Xx: a,Xy: a] : Xy ) )
          | ( SY15 = SY16 ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(11,plain,
    ( ( ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 )
      & ( ( sK2_SY25 != sK4_SY32 )
        | ( sK3_SY29 != sK5_SY34 ) ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(12,plain,
    ( ( ~ ( ~ ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 )
          | ~ ( ( sK2_SY25 != sK4_SY32 )
              | ( sK3_SY29 != sK5_SY34 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(13,plain,
    ! [SV1: ( a > a > a ) > a] :
      ( ( ! [SY35: ( a > a > a ) > a] :
            ( ~ ( sK1_Xr
                @ ( SV1
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( SV1
                  @ ^ [Xx: a,Xy: a] : Xy )
                @ ( SY35
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( SY35
                  @ ^ [Xx: a,Xy: a] : Xy ) )
            | ( SV1 = SY35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10]) ).

thf(14,plain,
    ( ( ~ ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 )
      | ~ ( ( sK2_SY25 != sK4_SY32 )
          | ( sK3_SY29 != sK5_SY34 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(15,plain,
    ! [SV2: ( a > a > a ) > a,SV1: ( a > a > a ) > a] :
      ( ( ~ ( sK1_Xr
            @ ( SV1
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( SV1
              @ ^ [Xx: a,Xy: a] : Xy )
            @ ( SV2
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( SV2
              @ ^ [Xx: a,Xy: a] : Xy ) )
        | ( SV1 = SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[13]) ).

thf(16,plain,
    ( ( ~ ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[14]) ).

thf(17,plain,
    ( ( ~ ( ( sK2_SY25 != sK4_SY32 )
          | ( sK3_SY29 != sK5_SY34 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[14]) ).

thf(18,plain,
    ! [SV2: ( a > a > a ) > a,SV1: ( a > a > a ) > a] :
      ( ( ( ~ ( sK1_Xr
              @ ( SV1
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( SV1
                @ ^ [Xx: a,Xy: a] : Xy )
              @ ( SV2
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( SV2
                @ ^ [Xx: a,Xy: a] : Xy ) ) )
        = $true )
      | ( ( SV1 = SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[15]) ).

thf(19,plain,
    ( ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[16]) ).

thf(20,plain,
    ( ( ( sK2_SY25 != sK4_SY32 )
      | ( sK3_SY29 != sK5_SY34 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[17]) ).

thf(21,plain,
    ! [SV2: ( a > a > a ) > a,SV1: ( a > a > a ) > a] :
      ( ( ( sK1_Xr
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xy )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xy ) )
        = $false )
      | ( ( SV1 = SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[18]) ).

thf(22,plain,
    ( ( ( ( sK2_SY25 != sK4_SY32 ) )
      = $true )
    | ( ( ( sK3_SY29 != sK5_SY34 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[20]) ).

thf(23,plain,
    ! [SV2: ( a > a > a ) > a,SV1: ( a > a > a ) > a] :
      ( ( ( ! [SV3: a > a > a] :
              ( ( SV1 @ SV3 )
              = ( SV2 @ SV3 ) ) )
        = $true )
      | ( ( sK1_Xr
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xy )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xy ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[21]) ).

thf(24,plain,
    ! [SV2: ( a > a > a ) > a,SV1: ( a > a > a ) > a] :
      ( ( ( SV1 = SV2 )
        = $true )
      | ( ( sK1_Xr
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xy )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xy ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[21]) ).

thf(25,plain,
    ( ( ( sK2_SY25 = sK4_SY32 )
      = $false )
    | ( ( ( sK3_SY29 != sK5_SY34 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(26,plain,
    ! [SV2: ( a > a > a ) > a,SV4: a > a > a,SV1: ( a > a > a ) > a] :
      ( ( ( ( SV1 @ SV4 )
          = ( SV2 @ SV4 ) )
        = $true )
      | ( ( sK1_Xr
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV1
            @ ^ [Xx: a,Xy: a] : Xy )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( SV2
            @ ^ [Xx: a,Xy: a] : Xy ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(27,plain,
    ( ( ( sK3_SY29 = sK5_SY34 )
      = $false )
    | ( ( sK2_SY25 = sK4_SY32 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(40,plain,
    ! [SV6: ( a > a > a ) > a,SV7: ( a > a > a ) > a] :
      ( ( ( SV7 = SV6 )
        = $true )
      | ( ( sK1_Xr
          @ ( SV7
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV7
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV6
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV6
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false ) ),
    inference(rename,[status(thm)],[24]) ).

thf(43,plain,
    ! [SV6: ( a > a > a ) > a,SV7: ( a > a > a ) > a] :
      ( ( ( ( sK1_Xr
            @ ( SV7
              @ ^ [SX0: a,SX1: a] : SX0 )
            @ ( SV7
              @ ^ [SX0: a,SX1: a] : SX1 )
            @ ( SV6
              @ ^ [SX0: a,SX1: a] : SX0 )
            @ ( SV6
              @ ^ [SX0: a,SX1: a] : SX1 ) )
          = ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 ) )
        = $false )
      | ( ( SV7 = SV6 )
        = $true ) ),
    inference(res,[status(thm)],[40,19]) ).

thf(47,plain,
    ! [SV60: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK2_SY25 @ ( SV60 @ SX0 ) ) @ sK3_SY29 ) )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV7,$thf( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK2_SY25 @ ( SV60 @ SX0 ) ) @ sK3_SY29 ) ))]]) ).

thf(48,plain,
    ! [SV63: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ ( SX0 @ ( SV63 @ SX0 ) @ sK3_SY29 ) ) )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV7,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ ( SX0 @ ( SV63 @ SX0 ) @ sK3_SY29 ) ) ))]]) ).

thf(49,plain,
    ( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ sK3_SY29 ) )
        = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false ) ),
    inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV7,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ sK3_SY29 ) ))]]) ).

thf(50,plain,
    ! [SV20: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK4_SY32 @ ( SV20 @ SX0 ) ) @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK4_SY32 @ ( SV20 @ SX0 ) ) @ sK5_SY34 ) )),bind(SV7,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(51,plain,
    ! [SV23: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ ( SX0 @ ( SV23 @ SX0 ) @ sK5_SY34 ) ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ ( SX0 @ ( SV23 @ SX0 ) @ sK5_SY34 ) ) )),bind(SV7,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(52,plain,
    ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
        = ( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ sK5_SY34 ) ) )
      = $true )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ sK5_SY34 ) )),bind(SV7,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(53,plain,
    ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
        = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV7,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(54,plain,
    ( ( ( ! [SV162: a > a > a] : ( sK2_SY25 = sK4_SY32 ) )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[53]) ).

thf(55,plain,
    ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
        = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[53]) ).

thf(56,plain,
    ( ( ( ! [SV163: a > a > a] :
            ( sK2_SY25
            = ( SV163 @ sK4_SY32 @ sK5_SY34 ) ) )
      = $true )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[52]) ).

thf(57,plain,
    ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
        = ( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ sK5_SY34 ) ) )
      = $true )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[52]) ).

thf(58,plain,
    ! [SV23: ( a > a > a ) > a] :
      ( ( ( ! [SV164: a > a > a] :
              ( sK2_SY25
              = ( SV164 @ sK4_SY32 @ ( SV164 @ ( SV23 @ SV164 ) @ sK5_SY34 ) ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[51]) ).

thf(59,plain,
    ! [SV23: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ ( SX0 @ ( SV23 @ SX0 ) @ sK5_SY34 ) ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[51]) ).

thf(60,plain,
    ! [SV20: ( a > a > a ) > a] :
      ( ( ( ! [SV165: a > a > a] :
              ( sK2_SY25
              = ( SV165 @ ( SV165 @ sK4_SY32 @ ( SV20 @ SV165 ) ) @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[50]) ).

thf(61,plain,
    ! [SV20: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK4_SY32 @ ( SV20 @ SX0 ) ) @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[50]) ).

thf(62,plain,
    ( ( ( ! [SV166: a > a > a] :
            ( ( SV166 @ sK2_SY25 @ sK3_SY29 )
            = sK4_SY32 ) )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[49]) ).

thf(63,plain,
    ( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ sK3_SY29 ) )
        = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[49]) ).

thf(64,plain,
    ! [SV63: ( a > a > a ) > a] :
      ( ( ( ! [SV167: a > a > a] :
              ( ( SV167 @ sK2_SY25 @ ( SV167 @ ( SV63 @ SV167 ) @ sK3_SY29 ) )
              = sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[48]) ).

thf(65,plain,
    ! [SV63: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ ( SX0 @ ( SV63 @ SX0 ) @ sK3_SY29 ) ) )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[48]) ).

thf(66,plain,
    ! [SV60: ( a > a > a ) > a] :
      ( ( ( ! [SV168: a > a > a] :
              ( ( SV168 @ ( SV168 @ sK2_SY25 @ ( SV60 @ SV168 ) ) @ sK3_SY29 )
              = sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[47]) ).

thf(67,plain,
    ! [SV60: ( a > a > a ) > a] :
      ( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK2_SY25 @ ( SV60 @ SX0 ) ) @ sK3_SY29 ) )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[47]) ).

thf(68,plain,
    ( ( ( sK2_SY25 = sK4_SY32 )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[54]) ).

thf(69,plain,
    ! [SV170: a > a > a] :
      ( ( ( sK2_SY25
          = ( SV170 @ sK4_SY32 @ sK5_SY34 ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[56]) ).

thf(70,plain,
    ! [SV23: ( a > a > a ) > a,SV171: a > a > a] :
      ( ( ( sK2_SY25
          = ( SV171 @ sK4_SY32 @ ( SV171 @ ( SV23 @ SV171 ) @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(71,plain,
    ! [SV20: ( a > a > a ) > a,SV172: a > a > a] :
      ( ( ( sK2_SY25
          = ( SV172 @ ( SV172 @ sK4_SY32 @ ( SV20 @ SV172 ) ) @ sK5_SY34 ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(72,plain,
    ! [SV173: a > a > a] :
      ( ( ( ( SV173 @ sK2_SY25 @ sK3_SY29 )
          = sK4_SY32 )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(73,plain,
    ! [SV63: ( a > a > a ) > a,SV174: a > a > a] :
      ( ( ( ( SV174 @ sK2_SY25 @ ( SV174 @ ( SV63 @ SV174 ) @ sK3_SY29 ) )
          = sK4_SY32 )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(74,plain,
    ! [SV60: ( a > a > a ) > a,SV175: a > a > a] :
      ( ( ( ( SV175 @ ( SV175 @ sK2_SY25 @ ( SV60 @ SV175 ) ) @ sK3_SY29 )
          = sK4_SY32 )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(75,plain,
    ! [SV176: ( a > a > a ) > a,SV177: a > a > a,SV178: ( a > a > a ) > a] :
      ( ( ( ( SV178 @ SV177 )
          = ( SV176 @ SV177 ) )
        = $true )
      | ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false ) ),
    inference(rename,[status(thm)],[26]) ).

thf(80,plain,
    ! [SV176: ( a > a > a ) > a,SV177: a > a > a,SV178: ( a > a > a ) > a] :
      ( ( ( ( sK1_Xr
            @ ( SV178
              @ ^ [SX0: a,SX1: a] : SX0 )
            @ ( SV178
              @ ^ [SX0: a,SX1: a] : SX1 )
            @ ( SV176
              @ ^ [SX0: a,SX1: a] : SX0 )
            @ ( SV176
              @ ^ [SX0: a,SX1: a] : SX1 ) )
          = ( sK1_Xr @ sK2_SY25 @ sK3_SY29 @ sK4_SY32 @ sK5_SY34 ) )
        = $false )
      | ( ( ( SV178 @ SV177 )
          = ( SV176 @ SV177 ) )
        = $true ) ),
    inference(res,[status(thm)],[75,19]) ).

thf(81,plain,
    ! [SV229: ( a > a > a ) > a,SV177: a > a > a] :
      ( ( ( ( SV177 @ ( SV177 @ sK2_SY25 @ ( SV229 @ SV177 ) ) @ sK3_SY29 )
          = sK4_SY32 )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV176,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV178,$thf( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK2_SY25 @ ( SV229 @ SX0 ) ) @ sK3_SY29 ) ))]]) ).

thf(82,plain,
    ! [SV232: ( a > a > a ) > a,SV177: a > a > a] :
      ( ( ( ( SV177 @ sK2_SY25 @ ( SV177 @ ( SV232 @ SV177 ) @ sK3_SY29 ) )
          = sK4_SY32 )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV176,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV178,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ ( SX0 @ ( SV232 @ SX0 ) @ sK3_SY29 ) ) ))]]) ).

thf(83,plain,
    ! [SV177: a > a > a] :
      ( ( ( ( SV177 @ sK2_SY25 @ sK3_SY29 )
          = sK4_SY32 )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV176,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV178,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK2_SY25 @ sK3_SY29 ) ))]]) ).

thf(84,plain,
    ! [SV189: ( a > a > a ) > a,SV177: a > a > a] :
      ( ( ( sK2_SY25
          = ( SV177 @ ( SV177 @ sK4_SY32 @ ( SV189 @ SV177 ) ) @ sK5_SY34 ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV176,$thf( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ sK4_SY32 @ ( SV189 @ SX0 ) ) @ sK5_SY34 ) )),bind(SV178,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(85,plain,
    ! [SV192: ( a > a > a ) > a,SV177: a > a > a] :
      ( ( ( sK2_SY25
          = ( SV177 @ sK4_SY32 @ ( SV177 @ ( SV192 @ SV177 ) @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV176,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ ( SX0 @ ( SV192 @ SX0 ) @ sK5_SY34 ) ) )),bind(SV178,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(86,plain,
    ! [SV177: a > a > a] :
      ( ( ( sK2_SY25
          = ( SV177 @ sK4_SY32 @ sK5_SY34 ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV176,$thf( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ sK5_SY34 ) )),bind(SV178,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(87,plain,
    ( ( ( sK2_SY25 = sK4_SY32 )
      = $true )
    | ( ( sK4_SY32 = sK5_SY34 )
      = $false )
    | ( ( sK2_SY25 = sK3_SY29 )
      = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV176,$thf( ^ [SX0: a > a > a] : sK4_SY32 )),bind(SV178,$thf( ^ [SX0: a > a > a] : sK2_SY25 ))]]) ).

thf(99,plain,
    ! [SV176: ( a > a > a ) > a,SV177: a > a > a,SV178: ( a > a > a ) > a] :
      ( ( ( ( sK2_SY25 = sK3_SY29 )
          = ( ( SV178 @ SV177 )
            = ( SV176 @ SV177 ) ) )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false )
      | ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false ) ),
    inference(res,[status(thm)],[55,75]) ).

thf(100,plain,
    ! [SV176: ( a > a > a ) > a,SV177: a > a > a,SV178: ( a > a > a ) > a] :
      ( ( ( ( sK4_SY32 = sK5_SY34 )
          = ( ( SV178 @ SV177 )
            = ( SV176 @ SV177 ) ) )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false )
      | ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false ) ),
    inference(res,[status(thm)],[55,75]) ).

thf(112,plain,
    ! [SV177: a > a > a,SV176: ( a > a > a ) > a,SV178: ( a > a > a ) > a] :
      ( ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK4_SY32
          = ( SV176 @ SV177 ) )
        = $false )
      | ( ( sK5_SY34
          = ( SV178 @ SV177 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[100]) ).

thf(113,plain,
    ! [SV177: a > a > a,SV176: ( a > a > a ) > a,SV178: ( a > a > a ) > a] :
      ( ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false )
      | ( ( sK2_SY25 = sK3_SY29 )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK5_SY34
          = ( SV176 @ SV177 ) )
        = $false )
      | ( ( sK4_SY32
          = ( SV178 @ SV177 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[100]) ).

thf(114,plain,
    ! [SV177: a > a > a,SV176: ( a > a > a ) > a,SV178: ( a > a > a ) > a] :
      ( ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK2_SY25
          = ( SV176 @ SV177 ) )
        = $false )
      | ( ( sK3_SY29
          = ( SV178 @ SV177 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[99]) ).

thf(115,plain,
    ! [SV177: a > a > a,SV176: ( a > a > a ) > a,SV178: ( a > a > a ) > a] :
      ( ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false )
      | ( ( sK4_SY32 = sK5_SY34 )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : sK4_SY32 ) )
        = $true )
      | ( ( sK3_SY29
          = ( SV176 @ SV177 ) )
        = $false )
      | ( ( sK2_SY25
          = ( SV178 @ SV177 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[99]) ).

thf(117,plain,
    ! [SV176: ( a > a > a ) > a,SV177: a > a > a,SV178: ( a > a > a ) > a] :
      ( ( ( ( sK2_SY25 = sK3_SY29 )
          = ( ( SV178 @ SV177 )
            = ( SV176 @ SV177 ) ) )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false ) ),
    inference(res,[status(thm)],[57,75]) ).

thf(128,plain,
    ! [SV177: a > a > a,SV176: ( a > a > a ) > a,SV178: ( a > a > a ) > a] :
      ( ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK2_SY25
          = ( SV176 @ SV177 ) )
        = $false )
      | ( ( sK3_SY29
          = ( SV178 @ SV177 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[117]) ).

thf(129,plain,
    ! [SV177: a > a > a,SV176: ( a > a > a ) > a,SV178: ( a > a > a ) > a] :
      ( ( ( sK1_Xr
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV178
            @ ^ [SX0: a,SX1: a] : SX1 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX0 )
          @ ( SV176
            @ ^ [SX0: a,SX1: a] : SX1 ) )
        = $false )
      | ( ( ( ^ [SX0: a > a > a] : sK2_SY25 )
          = ( ^ [SX0: a > a > a] : ( SX0 @ sK4_SY32 @ sK5_SY34 ) ) )
        = $true )
      | ( ( sK3_SY29
          = ( SV176 @ SV177 ) )
        = $false )
      | ( ( sK2_SY25
          = ( SV178 @ SV177 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[117]) ).

thf(130,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[19,129,128,115,114,113,112,87,86,85,84,83,82,81,75,74,73,72,71,70,69,68,67,65,63,61,59,57,55,40,27]) ).

thf(131,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEV167^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Tue Jun 28 15:47:57 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.10/0.31  
% 0.10/0.31   No.of.Axioms: 0
% 0.10/0.31  
% 0.10/0.31   Length.of.Defs: 0
% 0.10/0.31  
% 0.10/0.31   Contains.Choice.Funs: false
% 0.10/0.31  (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).....
% 3.20/3.40  
% 3.20/3.40  ********************************
% 3.20/3.40  *   All subproblems solved!    *
% 3.20/3.40  ********************************
% 3.20/3.40  % 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:130,loop_count:10,foatp_calls:3,translation:fof_full)
% 3.20/3.41  
% 3.20/3.41  %**** Beginning of derivation protocol ****
% 3.20/3.41  % SZS output start CNFRefutation
% See solution above
% 3.20/3.41  
% 3.20/3.41  %**** End of derivation protocol ****
% 3.20/3.41  %**** no. of clauses in derivation: 77 ****
% 3.20/3.41  %**** clause counter: 130 ****
% 3.20/3.41  
% 3.20/3.41  % 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:130,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------