TSTP Solution File: SYN386^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYN386^5 : 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 : n024.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 0.19s 0.40s
% Output   : CNFRefutation 0.19s
% 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_cD,type,
    cD: $i > $i > $i > $o ).

thf(tp_cF,type,
    cF: $i > $i > $o ).

thf(tp_cS,type,
    cS: $i > $i > $o ).

thf(tp_sK1_Xe,type,
    sK1_Xe: $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_Xy,type,
    sK4_Xy: $i > $i ).

thf(tp_sK5_Xx,type,
    sK5_Xx: $i ).

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

thf(tp_sK7_Xd,type,
    sK7_Xd: $i > $i ).

thf(1,conjecture,
    ( ( ! [Xx: $i] :
        ? [Xy: $i] : ( cF @ Xx @ Xy )
      & ? [Xx: $i] :
        ! [Xe: $i] :
        ? [Xn: $i] :
        ! [Xw: $i] :
          ( ( cS @ Xn @ Xw )
         => ( cD @ Xw @ Xx @ Xe ) )
      & ! [Xe: $i] :
        ? [Xd: $i] :
        ! [Xa: $i,Xb: $i] :
          ( ( cD @ Xa @ Xb @ Xd )
         => ! [Xy: $i,Xz: $i] :
              ( ( ( cF @ Xa @ Xy )
                & ( cF @ Xb @ Xz ) )
             => ( cD @ Xy @ Xz @ Xe ) ) ) )
   => ? [Xy: $i] :
      ! [Xe: $i] :
      ? [Xm: $i] :
      ! [Xw: $i] :
        ( ( cS @ Xm @ Xw )
       => ! [Xz: $i] :
            ( ( cF @ Xw @ Xz )
           => ( cD @ Xz @ Xy @ Xe ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2138) ).

thf(2,negated_conjecture,
    ( ( ( ! [Xx: $i] :
          ? [Xy: $i] : ( cF @ Xx @ Xy )
        & ? [Xx: $i] :
          ! [Xe: $i] :
          ? [Xn: $i] :
          ! [Xw: $i] :
            ( ( cS @ Xn @ Xw )
           => ( cD @ Xw @ Xx @ Xe ) )
        & ! [Xe: $i] :
          ? [Xd: $i] :
          ! [Xa: $i,Xb: $i] :
            ( ( cD @ Xa @ Xb @ Xd )
           => ! [Xy: $i,Xz: $i] :
                ( ( ( cF @ Xa @ Xy )
                  & ( cF @ Xb @ Xz ) )
               => ( cD @ Xy @ Xz @ Xe ) ) ) )
     => ? [Xy: $i] :
        ! [Xe: $i] :
        ? [Xm: $i] :
        ! [Xw: $i] :
          ( ( cS @ Xm @ Xw )
         => ! [Xz: $i] :
              ( ( cF @ Xw @ Xz )
             => ( cD @ Xz @ Xy @ Xe ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ( ! [Xx: $i] :
          ? [Xy: $i] : ( cF @ Xx @ Xy )
        & ? [Xx: $i] :
          ! [Xe: $i] :
          ? [Xn: $i] :
          ! [Xw: $i] :
            ( ( cS @ Xn @ Xw )
           => ( cD @ Xw @ Xx @ Xe ) )
        & ! [Xe: $i] :
          ? [Xd: $i] :
          ! [Xa: $i,Xb: $i] :
            ( ( cD @ Xa @ Xb @ Xd )
           => ! [Xy: $i,Xz: $i] :
                ( ( ( cF @ Xa @ Xy )
                  & ( cF @ Xb @ Xz ) )
               => ( cD @ Xy @ Xz @ Xe ) ) ) )
     => ? [Xy: $i] :
        ! [Xe: $i] :
        ? [Xm: $i] :
        ! [Xw: $i] :
          ( ( cS @ Xm @ Xw )
         => ! [Xz: $i] :
              ( ( cF @ Xw @ Xz )
             => ( cD @ Xz @ Xy @ Xe ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [Xx: $i] :
        ? [Xy: $i] : ( cF @ Xx @ Xy ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ? [Xx: $i] :
        ! [Xe: $i] :
        ? [Xn: $i] :
        ! [Xw: $i] :
          ( ( cS @ Xn @ Xw )
         => ( cD @ Xw @ Xx @ Xe ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(6,plain,
    ( ( ! [Xe: $i] :
        ? [Xd: $i] :
        ! [Xa: $i,Xb: $i] :
          ( ( cD @ Xa @ Xb @ Xd )
         => ! [Xy: $i,Xz: $i] :
              ( ( ( cF @ Xa @ Xy )
                & ( cF @ Xb @ Xz ) )
             => ( cD @ Xy @ Xz @ Xe ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(7,plain,
    ( ( ? [Xy: $i] :
        ! [Xe: $i] :
        ? [Xm: $i] :
        ! [Xw: $i] :
          ( ( cS @ Xm @ Xw )
         => ! [Xz: $i] :
              ( ( cF @ Xw @ Xz )
             => ( cD @ Xz @ Xy @ Xe ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(8,plain,
    ( ( ~ ? [Xy: $i] :
          ! [Xe: $i] :
          ? [Xm: $i] :
          ! [Xw: $i] :
            ( ( cS @ Xm @ Xw )
           => ! [Xz: $i] :
                ( ( cF @ Xw @ Xz )
               => ( cD @ Xz @ Xy @ Xe ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ! [Xy: $i,SY17: $i] :
          ( ( cS @ SY17 @ ( sK2_SY18 @ SY17 @ Xy ) )
          & ( cF @ ( sK2_SY18 @ SY17 @ Xy ) @ ( sK3_SY20 @ SY17 @ Xy ) )
          & ~ ( cD @ ( sK3_SY20 @ SY17 @ Xy ) @ Xy @ ( sK1_Xe @ Xy ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(10,plain,
    ( ( ! [Xx: $i] : ( cF @ Xx @ ( sK4_Xy @ Xx ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(11,plain,
    ( ( ! [SY21: $i,SY24: $i] :
          ( ~ ( cS @ ( sK6_SY22 @ SY21 ) @ SY24 )
          | ( cD @ SY24 @ sK5_Xx @ SY21 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[5]) ).

thf(12,plain,
    ( ( ! [Xe: $i,SY25: $i,SY26: $i] :
          ( ~ ( cD @ SY25 @ SY26 @ ( sK7_Xd @ Xe ) )
          | ! [Xy: $i,Xz: $i] :
              ( ~ ( cF @ SY25 @ Xy )
              | ~ ( cF @ SY26 @ Xz )
              | ( cD @ Xy @ Xz @ Xe ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6]) ).

thf(13,plain,
    ( ( ! [Xe: $i,SY25: $i,SY26: $i] :
          ( ~ ( cD @ SY25 @ SY26 @ ( sK7_Xd @ Xe ) )
          | ! [Xy: $i,Xz: $i] :
              ( ~ ( cF @ SY25 @ Xy )
              | ~ ( cF @ SY26 @ Xz )
              | ( cD @ Xy @ Xz @ Xe ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(14,plain,
    ( ( ! [SY21: $i,SY24: $i] :
          ( ~ ( cS @ ( sK6_SY22 @ SY21 ) @ SY24 )
          | ( cD @ SY24 @ sK5_Xx @ SY21 ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(15,plain,
    ( ( ! [Xx: $i] : ( cF @ Xx @ ( sK4_Xy @ Xx ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(16,plain,
    ( ( ! [Xy: $i,SY17: $i] :
          ( ( cS @ SY17 @ ( sK2_SY18 @ SY17 @ Xy ) )
          & ( cF @ ( sK2_SY18 @ SY17 @ Xy ) @ ( sK3_SY20 @ SY17 @ Xy ) )
          & ~ ( cD @ ( sK3_SY20 @ SY17 @ Xy ) @ Xy @ ( sK1_Xe @ Xy ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(17,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( cS @ SX1 @ ( sK2_SY18 @ SX1 @ SX0 ) )
            | ~ ~ ( ~ ( cF @ ( sK2_SY18 @ SX1 @ SX0 ) @ ( sK3_SY20 @ SX1 @ SX0 ) )
                  | ~ ~ ( cD @ ( sK3_SY20 @ SX1 @ SX0 ) @ SX0 @ ( sK1_Xe @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(18,plain,
    ! [SV1: $i] :
      ( ( ! [SY29: $i,SY30: $i] :
            ( ~ ( cD @ SY29 @ SY30 @ ( sK7_Xd @ SV1 ) )
            | ! [SY31: $i,SY32: $i] :
                ( ~ ( cF @ SY29 @ SY31 )
                | ~ ( cF @ SY30 @ SY32 )
                | ( cD @ SY31 @ SY32 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[13]) ).

thf(19,plain,
    ! [SV2: $i] :
      ( ( ! [SY33: $i] :
            ( ~ ( cS @ ( sK6_SY22 @ SV2 ) @ SY33 )
            | ( cD @ SY33 @ sK5_Xx @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[14]) ).

thf(20,plain,
    ! [SV3: $i] :
      ( ( cF @ SV3 @ ( sK4_Xy @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[15]) ).

thf(21,plain,
    ! [SV4: $i] :
      ( ( ! [SY34: $i] :
            ~ ( ~ ( cS @ SY34 @ ( sK2_SY18 @ SY34 @ SV4 ) )
              | ~ ~ ( ~ ( cF @ ( sK2_SY18 @ SY34 @ SV4 ) @ ( sK3_SY20 @ SY34 @ SV4 ) )
                    | ~ ~ ( cD @ ( sK3_SY20 @ SY34 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[17]) ).

thf(22,plain,
    ! [SV1: $i,SV5: $i] :
      ( ( ! [SY35: $i] :
            ( ~ ( cD @ SV5 @ SY35 @ ( sK7_Xd @ SV1 ) )
            | ! [SY36: $i,SY37: $i] :
                ( ~ ( cF @ SV5 @ SY36 )
                | ~ ( cF @ SY35 @ SY37 )
                | ( cD @ SY36 @ SY37 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[18]) ).

thf(23,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ~ ( cS @ ( sK6_SY22 @ SV2 ) @ SV6 )
        | ( cD @ SV6 @ sK5_Xx @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(24,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( ~ ( cS @ SV7 @ ( sK2_SY18 @ SV7 @ SV4 ) )
            | ~ ~ ( ~ ( cF @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
                  | ~ ~ ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[21]) ).

thf(25,plain,
    ! [SV1: $i,SV8: $i,SV5: $i] :
      ( ( ~ ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) )
        | ! [SY38: $i,SY39: $i] :
            ( ~ ( cF @ SV5 @ SY38 )
            | ~ ( cF @ SV8 @ SY39 )
            | ( cD @ SY38 @ SY39 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[22]) ).

thf(26,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( ~ ( cS @ ( sK6_SY22 @ SV2 ) @ SV6 ) )
        = $true )
      | ( ( cD @ SV6 @ sK5_Xx @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[23]) ).

thf(27,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( cS @ SV7 @ ( sK2_SY18 @ SV7 @ SV4 ) )
        | ~ ~ ( ~ ( cF @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
              | ~ ~ ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(28,plain,
    ! [SV1: $i,SV8: $i,SV5: $i] :
      ( ( ( ~ ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) ) )
        = $true )
      | ( ( ! [SY38: $i,SY39: $i] :
              ( ~ ( cF @ SV5 @ SY38 )
              | ~ ( cF @ SV8 @ SY39 )
              | ( cD @ SY38 @ SY39 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( cS @ ( sK6_SY22 @ SV2 ) @ SV6 )
        = $false )
      | ( ( cD @ SV6 @ sK5_Xx @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[26]) ).

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

thf(31,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( cF @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
              | ~ ~ ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(32,plain,
    ! [SV1: $i,SV8: $i,SV5: $i] :
      ( ( ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) )
        = $false )
      | ( ( ! [SY38: $i,SY39: $i] :
              ( ~ ( cF @ SV5 @ SY38 )
              | ~ ( cF @ SV8 @ SY39 )
              | ( cD @ SY38 @ SY39 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[28]) ).

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

thf(34,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( ~ ( cF @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
            | ~ ~ ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(35,plain,
    ! [SV1: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ! [SY40: $i] :
              ( ~ ( cF @ SV5 @ SV9 )
              | ~ ( cF @ SV8 @ SY40 )
              | ( cD @ SV9 @ SY40 @ SV1 ) ) )
        = $true )
      | ( ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(36,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( cF @ ( sK2_SY18 @ SV7 @ SV4 ) @ ( sK3_SY20 @ SV7 @ SV4 ) )
        | ~ ~ ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(37,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( cF @ SV5 @ SV9 )
          | ~ ( cF @ SV8 @ SV10 )
          | ( cD @ SV9 @ SV10 @ SV1 ) )
        = $true )
      | ( ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

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

thf(39,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ~ ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(40,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( cF @ SV5 @ SV9 )
          | ~ ( cF @ SV8 @ SV10 ) )
        = $true )
      | ( ( cD @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

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

thf(42,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( ~ ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(43,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( cF @ SV5 @ SV9 ) )
        = $true )
      | ( ( ~ ( cF @ SV8 @ SV10 ) )
        = $true )
      | ( ( cD @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[40]) ).

thf(44,plain,
    ! [SV4: $i,SV7: $i] :
      ( ( cD @ ( sK3_SY20 @ SV7 @ SV4 ) @ SV4 @ ( sK1_Xe @ SV4 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(45,plain,
    ! [SV1: $i,SV10: $i,SV8: $i,SV9: $i,SV5: $i] :
      ( ( ( cF @ SV5 @ SV9 )
        = $false )
      | ( ( ~ ( cF @ SV8 @ SV10 ) )
        = $true )
      | ( ( cD @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( cD @ SV5 @ SV8 @ ( sK7_Xd @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(46,plain,
    ! [SV1: $i,SV9: $i,SV5: $i,SV10: $i,SV8: $i] :
      ( ( ( cF @ SV8 @ SV10 )
        = $false )
      | ( ( cF @ SV5 @ SV9 )
        = $false )
      | ( ( cD @ SV9 @ SV10 @ SV1 )
        = $true )
      | ( ( cD @ SV5 @ SV8 @ ( sK7_Xd @ 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
% 0.07/0.12  % Problem  : SYN386^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n024.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 11:51:43 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 0
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   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)...
% 0.19/0.40  
% 0.19/0.40  ********************************
% 0.19/0.40  *   All subproblems solved!    *
% 0.19/0.40  ********************************
% 0.19/0.40  % SZS status Theorem for /export/starexec/sandbox/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:47,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.40  
% 0.19/0.40  %**** Beginning of derivation protocol ****
% 0.19/0.40  % SZS output start CNFRefutation
% See solution above
% 0.19/0.40  
% 0.19/0.40  %**** End of derivation protocol ****
% 0.19/0.40  %**** no. of clauses in derivation: 48 ****
% 0.19/0.40  %**** clause counter: 47 ****
% 0.19/0.40  
% 0.19/0.40  % SZS status Theorem for /export/starexec/sandbox/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:47,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------