TSTP Solution File: SEU803^2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEU803^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n020.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 12:14:52 EDT 2022

% Result   : Theorem 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   51 (  34 unt;   9 typ;   1 def)
%            Number of atoms       :  241 (  90 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  636 (  93   ~;  48   |;  13   &; 438   @)
%                                         (   0 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   6 con; 0-4 aty)
%            Number of variables   :   85 (   3   ^  75   !;   7   ?;  85   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_ap,type,
    ap: $i > $i > $i > $i > $i ).

thf(tp_funcSet,type,
    funcSet: $i > $i > $i ).

thf(tp_in,type,
    in: $i > $i > $o ).

thf(tp_sK1_SY0,type,
    sK1_SY0: $i ).

thf(tp_sK2_SY23,type,
    sK2_SY23: $i ).

thf(tp_sK3_SY30,type,
    sK3_SY30: $i > $i ).

thf(tp_sK4_SY37,type,
    sK4_SY37: $i ).

thf(tp_sK5_SY42,type,
    sK5_SY42: $i ).

thf(tp_surjective,type,
    surjective: $i > $i > $i > $o ).

thf(surjective,definition,
    ( surjective
    = ( ^ [A: $i,B: $i,Xf: $i] :
        ! [Xx: $i] :
          ( ( in @ Xx @ B )
         => ? [Xy: $i] :
              ( ( in @ Xy @ A )
              & ( ( ap @ A @ B @ Xf @ Xy )
                = Xx ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjective) ).

thf(1,conjecture,
    ! [A: $i,B: $i,Xf: $i > $i] :
      ( ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ ( Xf @ Xx ) @ B ) )
     => ! [Xg: $i] :
          ( ( in @ Xg @ ( funcSet @ B @ A ) )
         => ( ! [Xx: $i] :
                ( ( in @ Xx @ A )
               => ( ( ap @ B @ A @ Xg @ ( Xf @ Xx ) )
                  = Xx ) )
           => ( surjective @ B @ A @ Xg ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leftInvIsSurj) ).

thf(2,negated_conjecture,
    ( ( ! [A: $i,B: $i,Xf: $i > $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ ( Xf @ Xx ) @ B ) )
         => ! [Xg: $i] :
              ( ( in @ Xg @ ( funcSet @ B @ A ) )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( ap @ B @ A @ Xg @ ( Xf @ Xx ) )
                      = Xx ) )
               => ( surjective @ B @ A @ Xg ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [SY0: $i,SY1: $i,SY2: $i > $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ SY0 )
             => ( in @ ( SY2 @ Xx ) @ SY1 ) )
         => ! [SY4: $i] :
              ( ( in @ SY4 @ ( funcSet @ SY1 @ SY0 ) )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ SY0 )
                   => ( ( ap @ SY1 @ SY0 @ SY4 @ ( SY2 @ Xx ) )
                      = Xx ) )
               => ! [SY13: $i] :
                    ( ( in @ SY13 @ SY0 )
                   => ? [SY14: $i] :
                        ( ( in @ SY14 @ SY1 )
                        & ( ( ap @ SY1 @ SY0 @ SY4 @ SY14 )
                          = SY13 ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2,surjective]) ).

thf(4,plain,
    ( ( ! [SY23: $i,SY24: $i > $i] :
          ( ! [SY25: $i] :
              ( ( in @ SY25 @ sK1_SY0 )
             => ( in @ ( SY24 @ SY25 ) @ SY23 ) )
         => ! [SY26: $i] :
              ( ( in @ SY26 @ ( funcSet @ SY23 @ sK1_SY0 ) )
             => ( ! [SY27: $i] :
                    ( ( in @ SY27 @ sK1_SY0 )
                   => ( ( ap @ SY23 @ sK1_SY0 @ SY26 @ ( SY24 @ SY27 ) )
                      = SY27 ) )
               => ! [SY28: $i] :
                    ( ( in @ SY28 @ sK1_SY0 )
                   => ? [SY29: $i] :
                        ( ( in @ SY29 @ SY23 )
                        & ( ( ap @ SY23 @ sK1_SY0 @ SY26 @ SY29 )
                          = SY28 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY30: $i > $i] :
          ( ! [SY31: $i] :
              ( ( in @ SY31 @ sK1_SY0 )
             => ( in @ ( SY30 @ SY31 ) @ sK2_SY23 ) )
         => ! [SY32: $i] :
              ( ( in @ SY32 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
             => ( ! [SY33: $i] :
                    ( ( in @ SY33 @ sK1_SY0 )
                   => ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY32 @ ( SY30 @ SY33 ) )
                      = SY33 ) )
               => ! [SY34: $i] :
                    ( ( in @ SY34 @ sK1_SY0 )
                   => ? [SY35: $i] :
                        ( ( in @ SY35 @ sK2_SY23 )
                        & ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY32 @ SY35 )
                          = SY34 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [SY36: $i] :
          ( ( in @ SY36 @ sK1_SY0 )
         => ( in @ ( sK3_SY30 @ SY36 ) @ sK2_SY23 ) )
     => ! [SY37: $i] :
          ( ( in @ SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
         => ( ! [SY38: $i] :
                ( ( in @ SY38 @ sK1_SY0 )
               => ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY37 @ ( sK3_SY30 @ SY38 ) )
                  = SY38 ) )
           => ! [SY34: $i] :
                ( ( in @ SY34 @ sK1_SY0 )
               => ? [SY35: $i] :
                    ( ( in @ SY35 @ sK2_SY23 )
                    & ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY37 @ SY35 )
                      = SY34 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
    ( ( ! [SY36: $i] :
          ( ( in @ SY36 @ sK1_SY0 )
         => ( in @ ( sK3_SY30 @ SY36 ) @ sK2_SY23 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ! [SY37: $i] :
          ( ( in @ SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
         => ( ! [SY38: $i] :
                ( ( in @ SY38 @ sK1_SY0 )
               => ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY37 @ ( sK3_SY30 @ SY38 ) )
                  = SY38 ) )
           => ! [SY34: $i] :
                ( ( in @ SY34 @ sK1_SY0 )
               => ? [SY35: $i] :
                    ( ( in @ SY35 @ sK2_SY23 )
                    & ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY37 @ SY35 )
                      = SY34 ) ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[6]) ).

thf(9,plain,
    ( ( ~ ! [SY37: $i] :
            ( ( in @ SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
           => ( ! [SY38: $i] :
                  ( ( in @ SY38 @ sK1_SY0 )
                 => ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY37 @ ( sK3_SY30 @ SY38 ) )
                    = SY38 ) )
             => ! [SY34: $i] :
                  ( ( in @ SY34 @ sK1_SY0 )
                 => ? [SY35: $i] :
                      ( ( in @ SY35 @ sK2_SY23 )
                      & ( ( ap @ sK2_SY23 @ sK1_SY0 @ SY37 @ SY35 )
                        = SY34 ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[8]) ).

thf(10,plain,
    ( ( ( in @ sK4_SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
      & ! [SY41: $i] :
          ( ~ ( in @ SY41 @ sK1_SY0 )
          | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SY41 ) )
            = SY41 ) )
      & ( in @ sK5_SY42 @ sK1_SY0 )
      & ! [SY44: $i] :
          ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SY44 )
           != sK5_SY42 )
          | ~ ( in @ SY44 @ sK2_SY23 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(11,plain,
    ( ( ! [SY36: $i] :
          ( ~ ( in @ SY36 @ sK1_SY0 )
          | ( in @ ( sK3_SY30 @ SY36 ) @ sK2_SY23 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[7]) ).

thf(12,plain,
    ( ( ! [SY36: $i] :
          ( ~ ( in @ SY36 @ sK1_SY0 )
          | ( in @ ( sK3_SY30 @ SY36 ) @ sK2_SY23 ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(13,plain,
    ( ( ( in @ sK4_SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
      & ! [SY41: $i] :
          ( ~ ( in @ SY41 @ sK1_SY0 )
          | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SY41 ) )
            = SY41 ) )
      & ( in @ sK5_SY42 @ sK1_SY0 )
      & ! [SY44: $i] :
          ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SY44 )
           != sK5_SY42 )
          | ~ ( in @ SY44 @ sK2_SY23 ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(14,plain,
    ( ( ~ ( ~ ( in @ sK4_SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( in @ SX0 @ sK1_SY0 )
                      | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SX0 ) )
                        = SX0 ) )
                | ~ ~ ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
                      | ~ ! [SX0: $i] :
                            ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
                             != sK5_SY42 )
                            | ~ ( in @ SX0 @ sK2_SY23 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13,surjective]) ).

thf(15,plain,
    ! [SV1: $i] :
      ( ( ~ ( in @ SV1 @ sK1_SY0 )
        | ( in @ ( sK3_SY30 @ SV1 ) @ sK2_SY23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[12]) ).

thf(16,plain,
    ( ( ~ ( in @ sK4_SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( in @ SX0 @ sK1_SY0 )
                  | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SX0 ) )
                    = SX0 ) )
            | ~ ~ ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
                  | ~ ! [SX0: $i] :
                        ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
                         != sK5_SY42 )
                        | ~ ( in @ SX0 @ sK2_SY23 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[14]) ).

thf(17,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( in @ SV1 @ sK1_SY0 ) )
        = $true )
      | ( ( in @ ( sK3_SY30 @ SV1 ) @ sK2_SY23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[15]) ).

thf(18,plain,
    ( ( ~ ( in @ sK4_SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(19,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( in @ SX0 @ sK1_SY0 )
                  | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SX0 ) )
                    = SX0 ) )
            | ~ ~ ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
                  | ~ ! [SX0: $i] :
                        ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
                         != sK5_SY42 )
                        | ~ ( in @ SX0 @ sK2_SY23 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(20,plain,
    ! [SV1: $i] :
      ( ( ( in @ SV1 @ sK1_SY0 )
        = $false )
      | ( ( in @ ( sK3_SY30 @ SV1 ) @ sK2_SY23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(21,plain,
    ( ( in @ sK4_SY37 @ ( funcSet @ sK2_SY23 @ sK1_SY0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[18]) ).

thf(22,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( in @ SX0 @ sK1_SY0 )
                | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SX0 ) )
                  = SX0 ) )
          | ~ ~ ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
                | ~ ! [SX0: $i] :
                      ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
                       != sK5_SY42 )
                      | ~ ( in @ SX0 @ sK2_SY23 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(23,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( in @ SX0 @ sK1_SY0 )
            | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SX0 ) )
              = SX0 ) )
      | ~ ~ ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
            | ~ ! [SX0: $i] :
                  ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
                   != sK5_SY42 )
                  | ~ ( in @ SX0 @ sK2_SY23 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(24,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( in @ SX0 @ sK1_SY0 )
            | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SX0 ) )
              = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[23]) ).

thf(25,plain,
    ( ( ~ ~ ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
            | ~ ! [SX0: $i] :
                  ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
                   != sK5_SY42 )
                  | ~ ( in @ SX0 @ sK2_SY23 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[23]) ).

thf(26,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( in @ SX0 @ sK1_SY0 )
          | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SX0 ) )
            = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[24]) ).

thf(27,plain,
    ( ( ~ ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
          | ~ ! [SX0: $i] :
                ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
                 != sK5_SY42 )
                | ~ ( in @ SX0 @ sK2_SY23 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[25]) ).

thf(28,plain,
    ! [SV2: $i] :
      ( ( ~ ( in @ SV2 @ sK1_SY0 )
        | ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SV2 ) )
          = SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(29,plain,
    ( ( ~ ( in @ sK5_SY42 @ sK1_SY0 )
      | ~ ! [SX0: $i] :
            ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
             != sK5_SY42 )
            | ~ ( in @ SX0 @ sK2_SY23 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(30,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( in @ SV2 @ sK1_SY0 ) )
        = $true )
      | ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SV2 ) )
          = SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[28]) ).

thf(31,plain,
    ( ( ~ ( in @ sK5_SY42 @ sK1_SY0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(32,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
             != sK5_SY42 )
            | ~ ( in @ SX0 @ sK2_SY23 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(33,plain,
    ! [SV2: $i] :
      ( ( ( in @ SV2 @ sK1_SY0 )
        = $false )
      | ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ ( sK3_SY30 @ SV2 ) )
          = SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[30]) ).

thf(34,plain,
    ( ( in @ sK5_SY42 @ sK1_SY0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(35,plain,
    ( ( ! [SX0: $i] :
          ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SX0 )
           != sK5_SY42 )
          | ~ ( in @ SX0 @ sK2_SY23 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[32]) ).

thf(36,plain,
    ! [SV3: $i] :
      ( ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SV3 )
         != sK5_SY42 )
        | ~ ( in @ SV3 @ sK2_SY23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

thf(37,plain,
    ! [SV3: $i] :
      ( ( ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SV3 )
           != sK5_SY42 ) )
        = $true )
      | ( ( ~ ( in @ SV3 @ sK2_SY23 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[36]) ).

thf(38,plain,
    ! [SV3: $i] :
      ( ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SV3 )
          = sK5_SY42 )
        = $false )
      | ( ( ~ ( in @ SV3 @ sK2_SY23 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(39,plain,
    ! [SV3: $i] :
      ( ( ( in @ SV3 @ sK2_SY23 )
        = $false )
      | ( ( ( ap @ sK2_SY23 @ sK1_SY0 @ sK4_SY37 @ SV3 )
          = sK5_SY42 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(40,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[20,39,34,33,21]) ).

thf(41,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU803^2 : TPTP v8.1.0. Released v3.7.0.
% 0.11/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n020.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 : Sun Jun 19 14:12:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 0
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 221
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.35  (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)...
% 0.13/0.39  
% 0.13/0.39  ********************************
% 0.13/0.39  *   All subproblems solved!    *
% 0.13/0.39  ********************************
% 0.13/0.39  % SZS status Theorem for /export/starexec/sandbox2/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:40,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.39  
% 0.13/0.39  %**** Beginning of derivation protocol ****
% 0.13/0.39  % SZS output start CNFRefutation
% See solution above
% 0.13/0.39  
% 0.13/0.39  %**** End of derivation protocol ****
% 0.13/0.39  %**** no. of clauses in derivation: 41 ****
% 0.13/0.39  %**** clause counter: 40 ****
% 0.13/0.39  
% 0.13/0.39  % SZS status Theorem for /export/starexec/sandbox2/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:40,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------