TSTP Solution File: SYN386+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n019.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 08:25:49 EDT 2022

% Result   : Theorem 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   58 (  37 unt;  10 typ;   0 def)
%            Number of atoms       :  269 (  63 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  637 (  81   ~;  56   |;  14   &; 461   @)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :  185 (   0   ^ 159   !;  26   ?; 185   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_big_d,type,
    big_d: $i > $i > $i > $o ).

thf(tp_big_f,type,
    big_f: $i > $i > $o ).

thf(tp_big_s,type,
    big_s: $i > $i > $o ).

thf(tp_sK1_E,type,
    sK1_E: $i > $i ).

thf(tp_sK2_SY18,type,
    sK2_SY18: $i > $i > $i ).

thf(tp_sK3_SY20,type,
    sK3_SY20: $i > $i > $i ).

thf(tp_sK4_Y,type,
    sK4_Y: $i > $i ).

thf(tp_sK5_X,type,
    sK5_X: $i ).

thf(tp_sK6_SY22,type,
    sK6_SY22: $i > $i ).

thf(tp_sK7_D,type,
    sK7_D: $i > $i ).

thf(1,conjecture,
    ( ( ! [X: $i] :
        ? [Y: $i] : ( big_f @ X @ Y )
      & ? [X: $i] :
        ! [E: $i] :
        ? [N: $i] :
        ! [W: $i] :
          ( ( big_s @ N @ W )
         => ( big_d @ W @ X @ E ) )
      & ! [E: $i] :
        ? [D: $i] :
        ! [A: $i,B: $i] :
          ( ( big_d @ A @ B @ D )
         => ! [Y: $i,Z: $i] :
              ( ( ( big_f @ A @ Y )
                & ( big_f @ B @ Z ) )
             => ( big_d @ Y @ Z @ E ) ) ) )
   => ? [Y: $i] :
      ! [E: $i] :
      ? [M: $i] :
      ! [W: $i] :
        ( ( big_s @ M @ W )
       => ! [Z: $i] :
            ( ( big_f @ W @ Z )
           => ( big_d @ Z @ Y @ E ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2138) ).

thf(2,negated_conjecture,
    ( ( ( ! [X: $i] :
          ? [Y: $i] : ( big_f @ X @ Y )
        & ? [X: $i] :
          ! [E: $i] :
          ? [N: $i] :
          ! [W: $i] :
            ( ( big_s @ N @ W )
           => ( big_d @ W @ X @ E ) )
        & ! [E: $i] :
          ? [D: $i] :
          ! [A: $i,B: $i] :
            ( ( big_d @ A @ B @ D )
           => ! [Y: $i,Z: $i] :
                ( ( ( big_f @ A @ Y )
                  & ( big_f @ B @ Z ) )
               => ( big_d @ Y @ Z @ E ) ) ) )
     => ? [Y: $i] :
        ! [E: $i] :
        ? [M: $i] :
        ! [W: $i] :
          ( ( big_s @ M @ W )
         => ! [Z: $i] :
              ( ( big_f @ W @ Z )
             => ( big_d @ Z @ Y @ E ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ( ! [X: $i] :
          ? [Y: $i] : ( big_f @ X @ Y )
        & ? [X: $i] :
          ! [E: $i] :
          ? [N: $i] :
          ! [W: $i] :
            ( ( big_s @ N @ W )
           => ( big_d @ W @ X @ E ) )
        & ! [E: $i] :
          ? [D: $i] :
          ! [A: $i,B: $i] :
            ( ( big_d @ A @ B @ D )
           => ! [Y: $i,Z: $i] :
                ( ( ( big_f @ A @ Y )
                  & ( big_f @ B @ Z ) )
               => ( big_d @ Y @ Z @ E ) ) ) )
     => ? [Y: $i] :
        ! [E: $i] :
        ? [M: $i] :
        ! [W: $i] :
          ( ( big_s @ M @ W )
         => ! [Z: $i] :
              ( ( big_f @ W @ Z )
             => ( big_d @ Z @ Y @ E ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [X: $i] :
        ? [Y: $i] : ( big_f @ X @ Y ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ? [X: $i] :
        ! [E: $i] :
        ? [N: $i] :
        ! [W: $i] :
          ( ( big_s @ N @ W )
         => ( big_d @ W @ X @ E ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(6,plain,
    ( ( ! [E: $i] :
        ? [D: $i] :
        ! [A: $i,B: $i] :
          ( ( big_d @ A @ B @ D )
         => ! [Y: $i,Z: $i] :
              ( ( ( big_f @ A @ Y )
                & ( big_f @ B @ Z ) )
             => ( big_d @ Y @ Z @ E ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(7,plain,
    ( ( ? [Y: $i] :
        ! [E: $i] :
        ? [M: $i] :
        ! [W: $i] :
          ( ( big_s @ M @ W )
         => ! [Z: $i] :
              ( ( big_f @ W @ Z )
             => ( big_d @ Z @ Y @ E ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(8,plain,
    ( ( ~ ? [Y: $i] :
          ! [E: $i] :
          ? [M: $i] :
          ! [W: $i] :
            ( ( big_s @ M @ W )
           => ! [Z: $i] :
                ( ( big_f @ W @ Z )
               => ( big_d @ Z @ Y @ E ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ! [Y: $i,SY17: $i] :
          ( ( big_s @ SY17 @ ( sK2_SY18 @ SY17 @ Y ) )
          & ( big_f @ ( sK2_SY18 @ SY17 @ Y ) @ ( sK3_SY20 @ SY17 @ Y ) )
          & ~ ( big_d @ ( sK3_SY20 @ SY17 @ Y ) @ Y @ ( sK1_E @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(10,plain,
    ( ( ! [X: $i] : ( big_f @ X @ ( sK4_Y @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(11,plain,
    ( ( ! [SY21: $i,SY24: $i] :
          ( ~ ( big_s @ ( sK6_SY22 @ SY21 ) @ SY24 )
          | ( big_d @ SY24 @ sK5_X @ SY21 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[5]) ).

thf(12,plain,
    ( ( ! [E: $i,SY25: $i,SY26: $i] :
          ( ~ ( big_d @ SY25 @ SY26 @ ( sK7_D @ E ) )
          | ! [Y: $i,Z: $i] :
              ( ~ ( big_f @ SY25 @ Y )
              | ~ ( big_f @ SY26 @ Z )
              | ( big_d @ Y @ Z @ E ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6]) ).

thf(13,plain,
    ( ( ! [E: $i,SY25: $i,SY26: $i] :
          ( ~ ( big_d @ SY25 @ SY26 @ ( sK7_D @ E ) )
          | ! [Y: $i,Z: $i] :
              ( ~ ( big_f @ SY25 @ Y )
              | ~ ( big_f @ SY26 @ Z )
              | ( big_d @ Y @ Z @ E ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(14,plain,
    ( ( ! [SY21: $i,SY24: $i] :
          ( ~ ( big_s @ ( sK6_SY22 @ SY21 ) @ SY24 )
          | ( big_d @ SY24 @ sK5_X @ SY21 ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(15,plain,
    ( ( ! [X: $i] : ( big_f @ X @ ( sK4_Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(16,plain,
    ( ( ! [Y: $i,SY17: $i] :
          ( ( big_s @ SY17 @ ( sK2_SY18 @ SY17 @ Y ) )
          & ( big_f @ ( sK2_SY18 @ SY17 @ Y ) @ ( sK3_SY20 @ SY17 @ Y ) )
          & ~ ( big_d @ ( sK3_SY20 @ SY17 @ Y ) @ Y @ ( sK1_E @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(17,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( big_s @ SX1 @ ( sK2_SY18 @ SX1 @ SX0 ) )
            | ~ ~ ( ~ ( big_f @ ( sK2_SY18 @ SX1 @ SX0 ) @ ( sK3_SY20 @ SX1 @ SX0 ) )
                  | ~ ~ ( big_d @ ( sK3_SY20 @ SX1 @ SX0 ) @ SX0 @ ( sK1_E @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(18,plain,
    ! [SV1: $i] :
      ( ( ! [SY29: $i,SY30: $i] :
            ( ~ ( big_d @ SY29 @ SY30 @ ( sK7_D @ SV1 ) )
            | ! [SY31: $i,SY32: $i] :
                ( ~ ( big_f @ SY29 @ SY31 )
                | ~ ( big_f @ SY30 @ SY32 )
                | ( big_d @ SY31 @ SY32 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[13]) ).

thf(19,plain,
    ! [SV2: $i] :
      ( ( ! [SY33: $i] :
            ( ~ ( big_s @ ( sK6_SY22 @ SV2 ) @ SY33 )
            | ( big_d @ SY33 @ sK5_X @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[14]) ).

thf(20,plain,
    ! [SV3: $i] :
      ( ( big_f @ SV3 @ ( sK4_Y @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[15]) ).

thf(21,plain,
    ! [SV4: $i] :
      ( ( ! [SY34: $i] :
            ~ ( ~ ( big_s @ SY34 @ ( sK2_SY18 @ SY34 @ SV4 ) )
              | ~ ~ ( ~ ( big_f @ ( sK2_SY18 @ SY34 @ SV4 ) @ ( sK3_SY20 @ SY34 @ SV4 ) )
                    | ~ ~ ( big_d @ ( sK3_SY20 @ SY34 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[17]) ).

thf(22,plain,
    ! [SV1: $i,SV5: $i] :
      ( ( ! [SY35: $i] :
            ( ~ ( big_d @ SV5 @ SY35 @ ( sK7_D @ SV1 ) )
            | ! [SY36: $i,SY37: $i] :
                ( ~ ( big_f @ SV5 @ SY36 )
                | ~ ( big_f @ SY35 @ SY37 )
                | ( big_d @ SY36 @ SY37 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[18]) ).

thf(23,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ~ ( big_s @ ( sK6_SY22 @ SV2 ) @ SV6 )
        | ( big_d @ SV6 @ sK5_X @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(24,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( ~ ( big_s @ SV7 @ ( sK2_SY18 @ SV7 @ SV4 ) )
            | ~ ~ ( ~ ( big_f @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
                  | ~ ~ ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[21]) ).

thf(25,plain,
    ! [SV1: $i,SV8: $i,SV5: $i] :
      ( ( ~ ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        | ! [SY38: $i,SY39: $i] :
            ( ~ ( big_f @ SV5 @ SY38 )
            | ~ ( big_f @ SV8 @ SY39 )
            | ( big_d @ SY38 @ SY39 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[22]) ).

thf(26,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( ~ ( big_s @ ( sK6_SY22 @ SV2 ) @ SV6 ) )
        = $true )
      | ( ( big_d @ SV6 @ sK5_X @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[23]) ).

thf(27,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( big_s @ SV7 @ ( sK2_SY18 @ SV7 @ SV4 ) )
        | ~ ~ ( ~ ( big_f @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
              | ~ ~ ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(28,plain,
    ! [SV1: $i,SV8: $i,SV5: $i] :
      ( ( ( ~ ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) ) )
        = $true )
      | ( ( ! [SY38: $i,SY39: $i] :
              ( ~ ( big_f @ SV5 @ SY38 )
              | ~ ( big_f @ SV8 @ SY39 )
              | ( big_d @ SY38 @ SY39 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( big_s @ ( sK6_SY22 @ SV2 ) @ SV6 )
        = $false )
      | ( ( big_d @ SV6 @ sK5_X @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( big_s @ SV7 @ ( sK2_SY18 @ SV7 @ SV4 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(31,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( big_f @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
              | ~ ~ ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(32,plain,
    ! [SV1: $i,SV8: $i,SV5: $i] :
      ( ( ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        = $false )
      | ( ( ! [SY38: $i,SY39: $i] :
              ( ~ ( big_f @ SV5 @ SY38 )
              | ~ ( big_f @ SV8 @ SY39 )
              | ( big_d @ SY38 @ SY39 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[28]) ).

thf(33,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( big_s @ SV7 @ ( sK2_SY18 @ SV7 @ SV4 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[30]) ).

thf(34,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( ~ ( big_f @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
            | ~ ~ ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(35,plain,
    ! [SV1: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ! [SY40: $i] :
              ( ~ ( big_f @ SV5 @ SV9 )
              | ~ ( big_f @ SV8 @ SY40 )
              | ( big_d @ SV9 @ SY40 @ SV1 ) ) )
        = $true )
      | ( ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(36,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( big_f @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
        | ~ ~ ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(37,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( big_f @ SV5 @ SV9 )
          | ~ ( big_f @ SV8 @ SV10 )
          | ( big_d @ SV9 @ SV10 @ SV1 ) )
        = $true )
      | ( ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

thf(38,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( big_f @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(39,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ~ ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(40,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( big_f @ SV5 @ SV9 )
          | ~ ( big_f @ SV8 @ SV10 ) )
        = $true )
      | ( ( big_d @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

thf(41,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( big_f @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[38]) ).

thf(42,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(43,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( big_f @ SV5 @ SV9 ) )
        = $true )
      | ( ( ~ ( big_f @ SV8 @ SV10 ) )
        = $true )
      | ( ( big_d @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[40]) ).

thf(44,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( big_d @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_E @ SV4 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(45,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( big_f @ SV5 @ SV9 )
        = $false )
      | ( ( ~ ( big_f @ SV8 @ SV10 ) )
        = $true )
      | ( ( big_d @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(46,plain,
    ! [SV1: $i,SV9: $i,SV5: $i,SV10: $i,SV8: $i] :
      ( ( ( big_f @ SV8 @ SV10 )
        = $false )
      | ( ( big_f @ SV5 @ SV9 )
        = $false )
      | ( ( big_d @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( big_d @ SV5 @ SV8 @ ( sK7_D @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(47,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[20,46,44,41,33,29]) ).

thf(48,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 13:18:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.35  
% 0.20/0.35   No.of.Axioms: 0
% 0.20/0.35  
% 0.20/0.35   Length.of.Defs: 0
% 0.20/0.35  
% 0.20/0.35   Contains.Choice.Funs: false
% 0.20/0.35  (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.20/0.40  
% 0.20/0.40  ********************************
% 0.20/0.40  *   All subproblems solved!    *
% 0.20/0.40  ********************************
% 0.20/0.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:47,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.40  
% 0.20/0.40  %**** Beginning of derivation protocol ****
% 0.20/0.40  % SZS output start CNFRefutation
% See solution above
% 0.20/0.40  
% 0.20/0.40  %**** End of derivation protocol ****
% 0.20/0.40  %**** no. of clauses in derivation: 48 ****
% 0.20/0.40  %**** clause counter: 47 ****
% 0.20/0.40  
% 0.20/0.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:47,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------