TSTP Solution File: GEG002^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEG002^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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  : 300s
% DateTime : Mon May 20 19:57:05 EDT 2024

% Result   : Theorem 1.80s 0.67s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  201 (  88 unt;  38 typ;   0 def)
%            Number of atoms       : 1043 ( 151 equ;   0 cnn)
%            Maximal formula atoms :    3 (   6 avg)
%            Number of connectives : 2149 ( 157   ~;  70   |; 153   &;1414   @)
%                                         (   3 <=>; 160  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   44 (  39 usr;  32 con; 0-2 aty)
%                                         ( 136  !!;  56  ??;   0 @@+;   0 @@-)
%            Number of variables   :  420 ( 388   ^  25   !;   6   ?; 420   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    reg: $tType ).

thf(func_def_0,type,
    reg: $tType ).

thf(func_def_1,type,
    c: reg > reg > $o ).

thf(func_def_2,type,
    dc: reg > reg > $o ).

thf(func_def_3,type,
    p: reg > reg > $o ).

thf(func_def_4,type,
    eq: reg > reg > $o ).

thf(func_def_5,type,
    o: reg > reg > $o ).

thf(func_def_6,type,
    po: reg > reg > $o ).

thf(func_def_7,type,
    ec: reg > reg > $o ).

thf(func_def_8,type,
    pp: reg > reg > $o ).

thf(func_def_9,type,
    tpp: reg > reg > $o ).

thf(func_def_10,type,
    ntpp: reg > reg > $o ).

thf(func_def_12,type,
    catalunya: reg ).

thf(func_def_13,type,
    france: reg ).

thf(func_def_14,type,
    spain: reg ).

thf(func_def_15,type,
    paris: reg ).

thf(func_def_28,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_29,type,
    sK2: reg ).

thf(func_def_30,type,
    sK3: reg ).

thf(func_def_31,type,
    sK4: reg ).

thf(func_def_32,type,
    sK5: reg ).

thf(func_def_33,type,
    sK6: reg ).

thf(func_def_34,type,
    sK7: reg ).

thf(func_def_35,type,
    sK8: reg ).

thf(func_def_36,type,
    sK9: reg ).

thf(func_def_37,type,
    sK10: reg ).

thf(func_def_38,type,
    sK11: reg ).

thf(func_def_39,type,
    sK12: reg ).

thf(func_def_40,type,
    sK13: reg ).

thf(func_def_41,type,
    sK14: reg ).

thf(func_def_42,type,
    sK15: reg ).

thf(func_def_43,type,
    sK16: reg ).

thf(func_def_44,type,
    sK17: reg ).

thf(func_def_45,type,
    sK18: reg ).

thf(func_def_46,type,
    sK19: reg ).

thf(func_def_47,type,
    sK20: reg ).

thf(func_def_48,type,
    sK21: reg ).

thf(func_def_49,type,
    sK22: reg ).

thf(f3993,plain,
    $false,
    inference(avatar_sat_refutation,[],[f90,f1744,f3797,f3992]) ).

thf(f3992,plain,
    ( ~ spl0_2
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f3991]) ).

thf(f3991,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(trivial_inequality_removal,[],[f3990]) ).

thf(f3990,plain,
    ( ( $false = $true )
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(boolean_simplification,[],[f3989]) ).

thf(f3989,plain,
    ( ( ~ $true = $true )
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f3978,f3945]) ).

thf(f3945,plain,
    ( ( ( c @ sK14 @ paris )
      = $true )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f3940]) ).

thf(f3940,plain,
    ( ( ( $true
       => ( c @ sK14 @ paris ) )
      = $true )
    | ~ spl0_2 ),
    inference(superposition,[],[f2200,f3781]) ).

thf(f3781,plain,
    ( ( ( c @ sK14 @ sK3 )
      = $true )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f3765]) ).

thf(f3765,plain,
    ( ( ( ( c @ sK14 @ sK3 )
       => ( c @ sK14 @ france ) )
      = $false )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f3762]) ).

thf(f3762,plain,
    ( ( ( ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ france ) )
        @ sK14 )
      = $false )
    | ~ spl0_2 ),
    inference(sigma_clausification,[],[f2510]) ).

thf(f2510,plain,
    ( ( $false
      = ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ france ) ) ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f2507]) ).

thf(f2507,plain,
    ( ( ( ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ france ) ) )
        & $true )
      = $false )
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f2187]) ).

thf(f2187,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ spain ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(binary_proxy_clausification,[],[f2174]) ).

thf(f2174,plain,
    ( ( ( ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ paris ) ) )
        & ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ spain ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f2169]) ).

thf(f2169,plain,
    ( ( ( ^ [Y0: reg] :
            ( ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ paris ) ) )
            & ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ spain ) ) ) )
        @ sK3 )
      = $true )
    | ~ spl0_2 ),
    inference(sigma_clausification,[],[f1970]) ).

thf(f1970,plain,
    ( ( ( ?? @ reg
        @ ^ [Y0: reg] :
            ( ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ paris ) ) )
            & ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ spain ) ) ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(not_proxy_clausification,[],[f1837]) ).

thf(f1837,plain,
    ( ( $false
      = ( ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f1836]) ).

thf(f1836,plain,
    ( ( ( $true
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) )
      = $false )
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f1118,f1835]) ).

thf(f1835,plain,
    ( ( ( c @ spain @ paris )
      = $true )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f1831]) ).

thf(f1831,plain,
    ( ( ( $true
       => ( c @ spain @ paris ) )
      = $true )
    | ~ spl0_2 ),
    inference(superposition,[],[f99,f1772]) ).

thf(f1772,plain,
    ( ( ( c @ paris @ spain )
      = $true )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f1768]) ).

thf(f1768,plain,
    ( ( ( $true
       => ( c @ paris @ spain ) )
      = $true )
    | ~ spl0_2 ),
    inference(superposition,[],[f140,f1758]) ).

thf(f1758,plain,
    ( ( ( c @ paris @ catalunya )
      = $true )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f1756]) ).

thf(f1756,plain,
    ( ( ( $true
       => ( c @ paris @ catalunya ) )
      = $true )
    | ~ spl0_2 ),
    inference(superposition,[],[f99,f1747]) ).

thf(f1747,plain,
    ( ( ( c @ catalunya @ paris )
      = $true )
    | ~ spl0_2 ),
    inference(not_proxy_clausification,[],[f89]) ).

thf(f89,plain,
    ( ( ( ~ ( c @ catalunya @ paris ) )
      = $false )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f88]) ).

thf(f88,plain,
    ( spl0_2
  <=> ( ( ~ ( c @ catalunya @ paris ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f140,plain,
    ! [X1: reg] :
      ( ( ( c @ X1 @ catalunya )
       => ( c @ X1 @ spain ) )
      = $true ),
    inference(beta_eta_normalization,[],[f139]) ).

thf(f139,plain,
    ! [X1: reg] :
      ( ( ^ [Y0: reg] :
            ( ( c @ Y0 @ catalunya )
           => ( c @ Y0 @ spain ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f134]) ).

thf(f134,plain,
    ( ( !! @ reg
      @ ^ [Y0: reg] :
          ( ( c @ Y0 @ catalunya )
         => ( c @ Y0 @ spain ) ) )
    = $true ),
    inference(boolean_simplification,[],[f133]) ).

thf(f133,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ catalunya )
           => ( c @ Y0 @ spain ) ) )
      & $true )
    = $true ),
    inference(backward_demodulation,[],[f121,f131]) ).

thf(f131,plain,
    ( ( ~ ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ spain )
             => ( c @ Y0 @ catalunya ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f121]) ).

thf(f121,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ catalunya )
           => ( c @ Y0 @ spain ) ) )
      & ~ ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ spain )
             => ( c @ Y0 @ catalunya ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f76]) ).

thf(f76,plain,
    ( ( ( ?? @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ spain )
            & ~ ( ?? @ reg
                @ ^ [Y1: reg] :
                    ( ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ spain ) ) )
                    & ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ Y0 ) ) ) ) )
            & ( c @ Y0 @ catalunya )
            & ~ ( ?? @ reg
                @ ^ [Y1: reg] :
                    ( ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ catalunya ) ) )
                    & ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ Y0 ) ) ) ) ) ) )
      & ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ catalunya )
           => ( c @ Y0 @ spain ) ) )
      & ~ ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ spain )
             => ( c @ Y0 @ catalunya ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f70]) ).

thf(f70,plain,
    ( ( ^ [Y0: reg,Y1: reg] :
          ( ( ?? @ reg
            @ ^ [Y2: reg] :
                ( ( ^ [Y3: reg,Y4: reg] :
                      ( ( c @ Y3 @ Y4 )
                      & ~ ( ^ [Y5: reg,Y6: reg] :
                              ( ?? @ reg
                              @ ^ [Y7: reg] :
                                  ( ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y6 )
                                  & ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y5 ) ) )
                          @ Y3
                          @ Y4 ) )
                  @ Y2
                  @ Y1 )
                & ( ^ [Y3: reg,Y4: reg] :
                      ( ( c @ Y3 @ Y4 )
                      & ~ ( ^ [Y5: reg,Y6: reg] :
                              ( ?? @ reg
                              @ ^ [Y7: reg] :
                                  ( ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y6 )
                                  & ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y5 ) ) )
                          @ Y3
                          @ Y4 ) )
                  @ Y2
                  @ Y0 ) ) )
          & ( ^ [Y2: reg,Y3: reg] :
                ( ( ^ [Y4: reg,Y5: reg] :
                      ( !! @ reg
                      @ ^ [Y6: reg] :
                          ( ( c @ Y6 @ Y4 )
                         => ( c @ Y6 @ Y5 ) ) )
                  @ Y2
                  @ Y3 )
                & ~ ( ^ [Y4: reg,Y5: reg] :
                        ( !! @ reg
                        @ ^ [Y6: reg] :
                            ( ( c @ Y6 @ Y4 )
                           => ( c @ Y6 @ Y5 ) ) )
                    @ Y3
                    @ Y2 ) )
            @ Y0
            @ Y1 ) )
      @ catalunya
      @ spain )
    = $true ),
    inference(definition_unfolding,[],[f52,f68]) ).

thf(f68,plain,
    ( tpp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( ?? @ reg
            @ ^ [Y2: reg] :
                ( ( ^ [Y3: reg,Y4: reg] :
                      ( ( c @ Y3 @ Y4 )
                      & ~ ( ^ [Y5: reg,Y6: reg] :
                              ( ?? @ reg
                              @ ^ [Y7: reg] :
                                  ( ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y6 )
                                  & ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y5 ) ) )
                          @ Y3
                          @ Y4 ) )
                  @ Y2
                  @ Y1 )
                & ( ^ [Y3: reg,Y4: reg] :
                      ( ( c @ Y3 @ Y4 )
                      & ~ ( ^ [Y5: reg,Y6: reg] :
                              ( ?? @ reg
                              @ ^ [Y7: reg] :
                                  ( ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y6 )
                                  & ( ^ [Y8: reg,Y9: reg] :
                                        ( !! @ reg
                                        @ ^ [Y10: reg] :
                                            ( ( c @ Y10 @ Y8 )
                                           => ( c @ Y10 @ Y9 ) ) )
                                    @ Y7
                                    @ Y5 ) ) )
                          @ Y3
                          @ Y4 ) )
                  @ Y2
                  @ Y0 ) ) )
          & ( ^ [Y2: reg,Y3: reg] :
                ( ( ^ [Y4: reg,Y5: reg] :
                      ( !! @ reg
                      @ ^ [Y6: reg] :
                          ( ( c @ Y6 @ Y4 )
                         => ( c @ Y6 @ Y5 ) ) )
                  @ Y2
                  @ Y3 )
                & ~ ( ^ [Y4: reg,Y5: reg] :
                        ( !! @ reg
                        @ ^ [Y6: reg] :
                            ( ( c @ Y6 @ Y4 )
                           => ( c @ Y6 @ Y5 ) ) )
                    @ Y3
                    @ Y2 ) )
            @ Y0
            @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f51,f66,f66,f67]) ).

thf(f67,plain,
    ( pp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( ^ [Y2: reg,Y3: reg] :
                ( !! @ reg
                @ ^ [Y4: reg] :
                    ( ( c @ Y4 @ Y2 )
                   => ( c @ Y4 @ Y3 ) ) )
            @ Y0
            @ Y1 )
          & ~ ( ^ [Y2: reg,Y3: reg] :
                  ( !! @ reg
                  @ ^ [Y4: reg] :
                      ( ( c @ Y4 @ Y2 )
                     => ( c @ Y4 @ Y3 ) ) )
              @ Y1
              @ Y0 ) ) ) ),
    inference(definition_unfolding,[],[f57,f50,f50]) ).

thf(f50,plain,
    ( p
    = ( ^ [Y0: reg,Y1: reg] :
          ( !! @ reg
          @ ^ [Y2: reg] :
              ( ( c @ Y2 @ Y0 )
             => ( c @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f25,plain,
    ( p
    = ( ^ [Y0: reg,Y1: reg] :
          ( !! @ reg
          @ ^ [Y2: reg] :
              ( ( c @ Y2 @ Y0 )
             => ( c @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f24]) ).

thf(f24,plain,
    ( ( ^ [X0: reg,X1: reg] :
        ! [X2: reg] :
          ( ( c @ X2 @ X0 )
         => ( c @ X2 @ X1 ) ) )
    = p ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ( ( ^ [X0: reg,X1: reg] :
        ! [X2: reg] :
          ( ( c @ X2 @ X0 )
         => ( c @ X2 @ X1 ) ) )
    = p ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p) ).

thf(f57,plain,
    ( pp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( p @ Y0 @ Y1 )
          & ~ ( p @ Y1 @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f41]) ).

thf(f41,plain,
    ( pp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( p @ Y0 @ Y1 )
          & ~ ( p @ Y1 @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f40]) ).

thf(f40,plain,
    ( ( ^ [X0: reg,X1: reg] :
          ( ~ ( p @ X1 @ X0 )
          & ( p @ X0 @ X1 ) ) )
    = pp ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ( ( ^ [X0: reg,X1: reg] :
          ( ~ ( p @ X1 @ X0 )
          & ( p @ X0 @ X1 ) ) )
    = pp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp) ).

thf(f66,plain,
    ( ec
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( c @ Y0 @ Y1 )
          & ~ ( ^ [Y2: reg,Y3: reg] :
                  ( ?? @ reg
                  @ ^ [Y4: reg] :
                      ( ( ^ [Y5: reg,Y6: reg] :
                            ( !! @ reg
                            @ ^ [Y7: reg] :
                                ( ( c @ Y7 @ Y5 )
                               => ( c @ Y7 @ Y6 ) ) )
                        @ Y4
                        @ Y3 )
                      & ( ^ [Y5: reg,Y6: reg] :
                            ( !! @ reg
                            @ ^ [Y7: reg] :
                                ( ( c @ Y7 @ Y5 )
                               => ( c @ Y7 @ Y6 ) ) )
                        @ Y4
                        @ Y2 ) ) )
              @ Y0
              @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f55,f64]) ).

thf(f64,plain,
    ( o
    = ( ^ [Y0: reg,Y1: reg] :
          ( ?? @ reg
          @ ^ [Y2: reg] :
              ( ( ^ [Y3: reg,Y4: reg] :
                    ( !! @ reg
                    @ ^ [Y5: reg] :
                        ( ( c @ Y5 @ Y3 )
                       => ( c @ Y5 @ Y4 ) ) )
                @ Y2
                @ Y1 )
              & ( ^ [Y3: reg,Y4: reg] :
                    ( !! @ reg
                    @ ^ [Y5: reg] :
                        ( ( c @ Y5 @ Y3 )
                       => ( c @ Y5 @ Y4 ) ) )
                @ Y2
                @ Y0 ) ) ) ) ),
    inference(definition_unfolding,[],[f61,f50,f50]) ).

thf(f61,plain,
    ( o
    = ( ^ [Y0: reg,Y1: reg] :
          ( ?? @ reg
          @ ^ [Y2: reg] :
              ( ( p @ Y2 @ Y1 )
              & ( p @ Y2 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f47]) ).

thf(f47,plain,
    ( o
    = ( ^ [Y0: reg,Y1: reg] :
          ( ?? @ reg
          @ ^ [Y2: reg] :
              ( ( p @ Y2 @ Y1 )
              & ( p @ Y2 @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f46]) ).

thf(f46,plain,
    ( ( ^ [X0: reg,X1: reg] :
        ? [X2: reg] :
          ( ( p @ X2 @ X0 )
          & ( p @ X2 @ X1 ) ) )
    = o ),
    inference(rectify,[],[f6]) ).

thf(f6,axiom,
    ( ( ^ [X0: reg,X1: reg] :
        ? [X2: reg] :
          ( ( p @ X2 @ X0 )
          & ( p @ X2 @ X1 ) ) )
    = o ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o) ).

thf(f55,plain,
    ( ec
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( c @ Y0 @ Y1 )
          & ~ ( o @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f21,plain,
    ( ec
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( c @ Y0 @ Y1 )
          & ~ ( o @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f20]) ).

thf(f20,plain,
    ( ( ^ [X0: reg,X1: reg] :
          ( ~ ( o @ X0 @ X1 )
          & ( c @ X0 @ X1 ) ) )
    = ec ),
    inference(rectify,[],[f8]) ).

thf(f8,axiom,
    ( ( ^ [X0: reg,X1: reg] :
          ( ~ ( o @ X0 @ X1 )
          & ( c @ X0 @ X1 ) ) )
    = ec ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec) ).

thf(f51,plain,
    ( tpp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( ?? @ reg
            @ ^ [Y2: reg] :
                ( ( ec @ Y2 @ Y1 )
                & ( ec @ Y2 @ Y0 ) ) )
          & ( pp @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f43]) ).

thf(f43,plain,
    ( tpp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ( ?? @ reg
            @ ^ [Y2: reg] :
                ( ( ec @ Y2 @ Y1 )
                & ( ec @ Y2 @ Y0 ) ) )
          & ( pp @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f42]) ).

thf(f42,plain,
    ( ( ^ [X0: reg,X1: reg] :
          ( ( pp @ X0 @ X1 )
          & ? [X2: reg] :
              ( ( ec @ X2 @ X0 )
              & ( ec @ X2 @ X1 ) ) ) )
    = tpp ),
    inference(rectify,[],[f10]) ).

thf(f10,axiom,
    ( ( ^ [X0: reg,X1: reg] :
          ( ( pp @ X0 @ X1 )
          & ? [X2: reg] :
              ( ( ec @ X2 @ X0 )
              & ( ec @ X2 @ X1 ) ) ) )
    = tpp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp) ).

thf(f52,plain,
    ( ( tpp @ catalunya @ spain )
    = $true ),
    inference(cnf_transformation,[],[f31]) ).

thf(f31,plain,
    ( ( tpp @ catalunya @ spain )
    = $true ),
    inference(fool_elimination,[],[f30]) ).

thf(f30,plain,
    tpp @ catalunya @ spain,
    inference(rectify,[],[f12]) ).

thf(f12,axiom,
    tpp @ catalunya @ spain,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

thf(f99,plain,
    ! [X2: reg,X1: reg] :
      ( ( ( c @ X1 @ X2 )
       => ( c @ X2 @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f98]) ).

thf(f98,plain,
    ! [X2: reg,X1: reg] :
      ( ( ^ [Y0: reg] :
            ( ( c @ X1 @ Y0 )
           => ( c @ Y0 @ X1 ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f97]) ).

thf(f97,plain,
    ! [X1: reg] :
      ( $true
      = ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ X1 @ Y0 )
           => ( c @ Y0 @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f96]) ).

thf(f96,plain,
    ! [X1: reg] :
      ( ( ^ [Y0: reg] :
            ( !! @ reg
            @ ^ [Y1: reg] :
                ( ( c @ Y0 @ Y1 )
               => ( c @ Y1 @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f49]) ).

thf(f49,plain,
    ( ( !! @ reg
      @ ^ [Y0: reg] :
          ( !! @ reg
          @ ^ [Y1: reg] :
              ( ( c @ Y0 @ Y1 )
             => ( c @ Y1 @ Y0 ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f23]) ).

thf(f23,plain,
    ( ( !! @ reg
      @ ^ [Y0: reg] :
          ( !! @ reg
          @ ^ [Y1: reg] :
              ( ( c @ Y0 @ Y1 )
             => ( c @ Y1 @ Y0 ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f22]) ).

thf(f22,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X1 @ X0 )
     => ( c @ X0 @ X1 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X1: reg,X0: reg] :
      ( ( c @ X0 @ X1 )
     => ( c @ X1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_symmetric) ).

thf(f1118,plain,
    ( ( ( c @ spain @ paris )
      & ~ ( ?? @ reg
          @ ^ [Y0: reg] :
              ( ( !! @ reg
                @ ^ [Y1: reg] :
                    ( ( c @ Y1 @ Y0 )
                   => ( c @ Y1 @ paris ) ) )
              & ( !! @ reg
                @ ^ [Y1: reg] :
                    ( ( c @ Y1 @ Y0 )
                   => ( c @ Y1 @ spain ) ) ) ) ) )
    = $false ),
    inference(trivial_inequality_removal,[],[f1117]) ).

thf(f1117,plain,
    ( ( $false = $true )
    | ( ( ( c @ spain @ paris )
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) )
      = $false ) ),
    inference(forward_demodulation,[],[f1105,f116]) ).

thf(f116,plain,
    ( ( c @ spain @ france )
    = $true ),
    inference(boolean_simplification,[],[f115]) ).

thf(f115,plain,
    ( ( ( c @ spain @ france )
      & $true )
    = $true ),
    inference(backward_demodulation,[],[f74,f113]) ).

thf(f113,plain,
    ( ( ~ ( ?? @ reg
          @ ^ [Y0: reg] :
              ( ( !! @ reg
                @ ^ [Y1: reg] :
                    ( ( c @ Y1 @ Y0 )
                   => ( c @ Y1 @ france ) ) )
              & ( !! @ reg
                @ ^ [Y1: reg] :
                    ( ( c @ Y1 @ Y0 )
                   => ( c @ Y1 @ spain ) ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f74]) ).

thf(f74,plain,
    ( ( ( c @ spain @ france )
      & ~ ( ?? @ reg
          @ ^ [Y0: reg] :
              ( ( !! @ reg
                @ ^ [Y1: reg] :
                    ( ( c @ Y1 @ Y0 )
                   => ( c @ Y1 @ france ) ) )
              & ( !! @ reg
                @ ^ [Y1: reg] :
                    ( ( c @ Y1 @ Y0 )
                   => ( c @ Y1 @ spain ) ) ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f72]) ).

thf(f72,plain,
    ( ( ^ [Y0: reg,Y1: reg] :
          ( ( c @ Y0 @ Y1 )
          & ~ ( ^ [Y2: reg,Y3: reg] :
                  ( ?? @ reg
                  @ ^ [Y4: reg] :
                      ( ( ^ [Y5: reg,Y6: reg] :
                            ( !! @ reg
                            @ ^ [Y7: reg] :
                                ( ( c @ Y7 @ Y5 )
                               => ( c @ Y7 @ Y6 ) ) )
                        @ Y4
                        @ Y3 )
                      & ( ^ [Y5: reg,Y6: reg] :
                            ( !! @ reg
                            @ ^ [Y7: reg] :
                                ( ( c @ Y7 @ Y5 )
                               => ( c @ Y7 @ Y6 ) ) )
                        @ Y4
                        @ Y2 ) ) )
              @ Y0
              @ Y1 ) )
      @ spain
      @ france )
    = $true ),
    inference(definition_unfolding,[],[f54,f66]) ).

thf(f54,plain,
    ( ( ec @ spain @ france )
    = $true ),
    inference(cnf_transformation,[],[f45]) ).

thf(f45,plain,
    ( ( ec @ spain @ france )
    = $true ),
    inference(fool_elimination,[],[f44]) ).

thf(f44,plain,
    ec @ spain @ france,
    inference(rectify,[],[f13]) ).

thf(f13,axiom,
    ec @ spain @ france,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

thf(f1105,plain,
    ( ( $false
      = ( c @ spain @ france ) )
    | ( ( ( c @ spain @ paris )
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) )
      = $false ) ),
    inference(boolean_simplification,[],[f1104]) ).

thf(f1104,plain,
    ( ( ( ( c @ spain @ france )
        & $true )
      = $false )
    | ( ( ( c @ spain @ paris )
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) )
      = $false ) ),
    inference(boolean_simplification,[],[f1082]) ).

thf(f1082,plain,
    ( ( ( ( c @ spain @ france )
        & ~ $false )
      = $false )
    | ( ( ( c @ spain @ paris )
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) )
      = $false ) ),
    inference(superposition,[],[f179,f308]) ).

thf(f308,plain,
    ( ( ?? @ reg
      @ ^ [Y0: reg] :
          ( ( !! @ reg
            @ ^ [Y1: reg] :
                ( ( c @ Y1 @ Y0 )
               => ( c @ Y1 @ france ) ) )
          & ( !! @ reg
            @ ^ [Y1: reg] :
                ( ( c @ Y1 @ Y0 )
               => ( c @ Y1 @ spain ) ) ) ) )
    = $false ),
    inference(not_proxy_clausification,[],[f113]) ).

thf(f179,plain,
    ! [X1: reg] :
      ( ( $false
        = ( ( c @ X1 @ france )
          & ~ ( ?? @ reg
              @ ^ [Y0: reg] :
                  ( ( !! @ reg
                    @ ^ [Y1: reg] :
                        ( ( c @ Y1 @ Y0 )
                       => ( c @ Y1 @ france ) ) )
                  & ( !! @ reg
                    @ ^ [Y1: reg] :
                        ( ( c @ Y1 @ Y0 )
                       => ( c @ Y1 @ X1 ) ) ) ) ) ) )
      | ( ( ( c @ X1 @ paris )
          & ~ ( ?? @ reg
              @ ^ [Y0: reg] :
                  ( ( !! @ reg
                    @ ^ [Y1: reg] :
                        ( ( c @ Y1 @ Y0 )
                       => ( c @ Y1 @ paris ) ) )
                  & ( !! @ reg
                    @ ^ [Y1: reg] :
                        ( ( c @ Y1 @ Y0 )
                       => ( c @ Y1 @ X1 ) ) ) ) ) )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f172]) ).

thf(f172,plain,
    ! [X1: reg] :
      ( ( ( c @ X1 @ france )
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ france ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ X1 ) ) ) ) )
        & ( c @ X1 @ paris )
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ X1 ) ) ) ) ) )
      = $false ),
    inference(beta_eta_normalization,[],[f171]) ).

thf(f171,plain,
    ! [X1: reg] :
      ( ( ^ [Y0: reg] :
            ( ( c @ Y0 @ france )
            & ~ ( ?? @ reg
                @ ^ [Y1: reg] :
                    ( ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ france ) ) )
                    & ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ Y0 ) ) ) ) )
            & ( c @ Y0 @ paris )
            & ~ ( ?? @ reg
                @ ^ [Y1: reg] :
                    ( ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ paris ) ) )
                    & ( !! @ reg
                      @ ^ [Y2: reg] :
                          ( ( c @ Y2 @ Y1 )
                         => ( c @ Y2 @ Y0 ) ) ) ) ) )
        @ X1 )
      = $false ),
    inference(pi_clausification,[],[f157]) ).

thf(f157,plain,
    ( ( ?? @ reg
      @ ^ [Y0: reg] :
          ( ( c @ Y0 @ france )
          & ~ ( ?? @ reg
              @ ^ [Y1: reg] :
                  ( ( !! @ reg
                    @ ^ [Y2: reg] :
                        ( ( c @ Y2 @ Y1 )
                       => ( c @ Y2 @ france ) ) )
                  & ( !! @ reg
                    @ ^ [Y2: reg] :
                        ( ( c @ Y2 @ Y1 )
                       => ( c @ Y2 @ Y0 ) ) ) ) )
          & ( c @ Y0 @ paris )
          & ~ ( ?? @ reg
              @ ^ [Y1: reg] :
                  ( ( !! @ reg
                    @ ^ [Y2: reg] :
                        ( ( c @ Y2 @ Y1 )
                       => ( c @ Y2 @ paris ) ) )
                  & ( !! @ reg
                    @ ^ [Y2: reg] :
                        ( ( c @ Y2 @ Y1 )
                       => ( c @ Y2 @ Y0 ) ) ) ) ) ) )
    = $false ),
    inference(not_proxy_clausification,[],[f152]) ).

thf(f152,plain,
    ( ( ~ ( ?? @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ france )
              & ~ ( ?? @ reg
                  @ ^ [Y1: reg] :
                      ( ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ france ) ) )
                      & ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ Y0 ) ) ) ) )
              & ( c @ Y0 @ paris )
              & ~ ( ?? @ reg
                  @ ^ [Y1: reg] :
                      ( ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ paris ) ) )
                      & ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ Y0 ) ) ) ) ) ) ) )
    = $true ),
    inference(boolean_simplification,[],[f151]) ).

thf(f151,plain,
    ( ( ~ ( ?? @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ france )
              & ~ ( ?? @ reg
                  @ ^ [Y1: reg] :
                      ( ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ france ) ) )
                      & ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ Y0 ) ) ) ) )
              & ( c @ Y0 @ paris )
              & ~ ( ?? @ reg
                  @ ^ [Y1: reg] :
                      ( ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ paris ) ) )
                      & ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ Y0 ) ) ) ) ) ) )
      & $true )
    = $true ),
    inference(backward_demodulation,[],[f77,f149]) ).

thf(f149,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ paris )
           => ( c @ Y0 @ france ) ) )
      & ~ ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ france )
             => ( c @ Y0 @ paris ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f77]) ).

thf(f77,plain,
    ( ( ~ ( ?? @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ france )
              & ~ ( ?? @ reg
                  @ ^ [Y1: reg] :
                      ( ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ france ) ) )
                      & ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ Y0 ) ) ) ) )
              & ( c @ Y0 @ paris )
              & ~ ( ?? @ reg
                  @ ^ [Y1: reg] :
                      ( ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ paris ) ) )
                      & ( !! @ reg
                        @ ^ [Y2: reg] :
                            ( ( c @ Y2 @ Y1 )
                           => ( c @ Y2 @ Y0 ) ) ) ) ) ) )
      & ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ paris )
           => ( c @ Y0 @ france ) ) )
      & ~ ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ france )
             => ( c @ Y0 @ paris ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f73]) ).

thf(f73,plain,
    ( ( ^ [Y0: reg,Y1: reg] :
          ( ~ ( ?? @ reg
              @ ^ [Y2: reg] :
                  ( ( ^ [Y3: reg,Y4: reg] :
                        ( ( c @ Y3 @ Y4 )
                        & ~ ( ^ [Y5: reg,Y6: reg] :
                                ( ?? @ reg
                                @ ^ [Y7: reg] :
                                    ( ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y6 )
                                    & ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y5 ) ) )
                            @ Y3
                            @ Y4 ) )
                    @ Y2
                    @ Y1 )
                  & ( ^ [Y3: reg,Y4: reg] :
                        ( ( c @ Y3 @ Y4 )
                        & ~ ( ^ [Y5: reg,Y6: reg] :
                                ( ?? @ reg
                                @ ^ [Y7: reg] :
                                    ( ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y6 )
                                    & ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y5 ) ) )
                            @ Y3
                            @ Y4 ) )
                    @ Y2
                    @ Y0 ) ) )
          & ( ^ [Y2: reg,Y3: reg] :
                ( ( ^ [Y4: reg,Y5: reg] :
                      ( !! @ reg
                      @ ^ [Y6: reg] :
                          ( ( c @ Y6 @ Y4 )
                         => ( c @ Y6 @ Y5 ) ) )
                  @ Y2
                  @ Y3 )
                & ~ ( ^ [Y4: reg,Y5: reg] :
                        ( !! @ reg
                        @ ^ [Y6: reg] :
                            ( ( c @ Y6 @ Y4 )
                           => ( c @ Y6 @ Y5 ) ) )
                    @ Y3
                    @ Y2 ) )
            @ Y0
            @ Y1 ) )
      @ paris
      @ france )
    = $true ),
    inference(definition_unfolding,[],[f60,f69]) ).

thf(f69,plain,
    ( ntpp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ~ ( ?? @ reg
              @ ^ [Y2: reg] :
                  ( ( ^ [Y3: reg,Y4: reg] :
                        ( ( c @ Y3 @ Y4 )
                        & ~ ( ^ [Y5: reg,Y6: reg] :
                                ( ?? @ reg
                                @ ^ [Y7: reg] :
                                    ( ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y6 )
                                    & ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y5 ) ) )
                            @ Y3
                            @ Y4 ) )
                    @ Y2
                    @ Y1 )
                  & ( ^ [Y3: reg,Y4: reg] :
                        ( ( c @ Y3 @ Y4 )
                        & ~ ( ^ [Y5: reg,Y6: reg] :
                                ( ?? @ reg
                                @ ^ [Y7: reg] :
                                    ( ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y6 )
                                    & ( ^ [Y8: reg,Y9: reg] :
                                          ( !! @ reg
                                          @ ^ [Y10: reg] :
                                              ( ( c @ Y10 @ Y8 )
                                             => ( c @ Y10 @ Y9 ) ) )
                                      @ Y7
                                      @ Y5 ) ) )
                            @ Y3
                            @ Y4 ) )
                    @ Y2
                    @ Y0 ) ) )
          & ( ^ [Y2: reg,Y3: reg] :
                ( ( ^ [Y4: reg,Y5: reg] :
                      ( !! @ reg
                      @ ^ [Y6: reg] :
                          ( ( c @ Y6 @ Y4 )
                         => ( c @ Y6 @ Y5 ) ) )
                  @ Y2
                  @ Y3 )
                & ~ ( ^ [Y4: reg,Y5: reg] :
                        ( !! @ reg
                        @ ^ [Y6: reg] :
                            ( ( c @ Y6 @ Y4 )
                           => ( c @ Y6 @ Y5 ) ) )
                    @ Y3
                    @ Y2 ) )
            @ Y0
            @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f48,f66,f66,f67]) ).

thf(f48,plain,
    ( ntpp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ~ ( ?? @ reg
              @ ^ [Y2: reg] :
                  ( ( ec @ Y2 @ Y1 )
                  & ( ec @ Y2 @ Y0 ) ) )
          & ( pp @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f29]) ).

thf(f29,plain,
    ( ntpp
    = ( ^ [Y0: reg,Y1: reg] :
          ( ~ ( ?? @ reg
              @ ^ [Y2: reg] :
                  ( ( ec @ Y2 @ Y1 )
                  & ( ec @ Y2 @ Y0 ) ) )
          & ( pp @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f28]) ).

thf(f28,plain,
    ( ( ^ [X0: reg,X1: reg] :
          ( ( pp @ X0 @ X1 )
          & ~ ? [X2: reg] :
                ( ( ec @ X2 @ X0 )
                & ( ec @ X2 @ X1 ) ) ) )
    = ntpp ),
    inference(rectify,[],[f11]) ).

thf(f11,axiom,
    ( ( ^ [X0: reg,X1: reg] :
          ( ( pp @ X0 @ X1 )
          & ~ ? [X2: reg] :
                ( ( ec @ X2 @ X0 )
                & ( ec @ X2 @ X1 ) ) ) )
    = ntpp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp) ).

thf(f60,plain,
    ( ( ntpp @ paris @ france )
    = $true ),
    inference(cnf_transformation,[],[f33]) ).

thf(f33,plain,
    ( ( ntpp @ paris @ france )
    = $true ),
    inference(fool_elimination,[],[f32]) ).

thf(f32,plain,
    ntpp @ paris @ france,
    inference(rectify,[],[f14]) ).

thf(f14,axiom,
    ntpp @ paris @ france,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

thf(f331,plain,
    ! [X1: reg] :
      ( $false
      = ( ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ X1 )
             => ( c @ Y0 @ france ) ) )
        & ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ X1 )
             => ( c @ Y0 @ spain ) ) ) ) ),
    inference(beta_eta_normalization,[],[f327]) ).

thf(f327,plain,
    ! [X1: reg] :
      ( ( ^ [Y0: reg] :
            ( ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ france ) ) )
            & ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ spain ) ) ) )
        @ X1 )
      = $false ),
    inference(pi_clausification,[],[f308]) ).

thf(f2200,plain,
    ( ! [X1: reg] :
        ( ( ( c @ X1 @ sK3 )
         => ( c @ X1 @ paris ) )
        = $true )
    | ~ spl0_2 ),
    inference(beta_eta_normalization,[],[f2199]) ).

thf(f2199,plain,
    ( ! [X1: reg] :
        ( ( ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ paris ) )
          @ X1 )
        = $true )
    | ~ spl0_2 ),
    inference(pi_clausification,[],[f2190]) ).

thf(f2190,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ paris ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f2189]) ).

thf(f2189,plain,
    ( ( ( ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ paris ) ) )
        & $true )
      = $true )
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f2174,f2187]) ).

thf(f3978,plain,
    ( ( ( ~ ( c @ sK14 @ paris ) )
      = $true )
    | ~ spl0_41 ),
    inference(boolean_simplification,[],[f3973]) ).

thf(f3973,plain,
    ( ( ( ( c @ sK14 @ paris )
       => $false )
      = $true )
    | ~ spl0_41 ),
    inference(superposition,[],[f215,f3792]) ).

thf(f3792,plain,
    ( ( $false
      = ( c @ sK14 @ france ) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f3791]) ).

thf(f3791,plain,
    ( spl0_41
  <=> ( $false
      = ( c @ sK14 @ france ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

thf(f215,plain,
    ! [X1: reg] :
      ( ( ( c @ X1 @ paris )
       => ( c @ X1 @ france ) )
      = $true ),
    inference(beta_eta_normalization,[],[f214]) ).

thf(f214,plain,
    ! [X1: reg] :
      ( ( ^ [Y0: reg] :
            ( ( c @ Y0 @ paris )
           => ( c @ Y0 @ france ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f203]) ).

thf(f203,plain,
    ( ( !! @ reg
      @ ^ [Y0: reg] :
          ( ( c @ Y0 @ paris )
         => ( c @ Y0 @ france ) ) )
    = $true ),
    inference(boolean_simplification,[],[f202]) ).

thf(f202,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ paris )
           => ( c @ Y0 @ france ) ) )
      & $true )
    = $true ),
    inference(backward_demodulation,[],[f149,f200]) ).

thf(f200,plain,
    ( ( ~ ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ france )
             => ( c @ Y0 @ paris ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f149]) ).

thf(f3797,plain,
    ( spl0_41
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3796,f88,f3791]) ).

thf(f3796,plain,
    ( ( $false
      = ( c @ sK14 @ france ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[],[f3795]) ).

thf(f3795,plain,
    ( ( ( $true
       => ( c @ sK14 @ france ) )
      = $false )
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f3765,f3781]) ).

thf(f1744,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f1743]) ).

thf(f1743,plain,
    ( $false
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f1742]) ).

thf(f1742,plain,
    ( ( $false = $true )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f1741]) ).

thf(f1741,plain,
    ( ( ~ $true = $true )
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f1722,f1738]) ).

thf(f1738,plain,
    ( ( ( c @ sK14 @ paris )
      = $true )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f1733]) ).

thf(f1733,plain,
    ( ( ( $true
       => ( c @ sK14 @ paris ) )
      = $true )
    | ~ spl0_1 ),
    inference(superposition,[],[f1631,f1698]) ).

thf(f1698,plain,
    ( ( ( c @ sK14 @ sK3 )
      = $true )
    | ~ spl0_1 ),
    inference(binary_proxy_clausification,[],[f1681]) ).

thf(f1681,plain,
    ( ( ( ( c @ sK14 @ sK3 )
       => ( c @ sK14 @ france ) )
      = $false )
    | ~ spl0_1 ),
    inference(beta_eta_normalization,[],[f1679]) ).

thf(f1679,plain,
    ( ( ( ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ france ) )
        @ sK14 )
      = $false )
    | ~ spl0_1 ),
    inference(sigma_clausification,[],[f1584]) ).

thf(f1584,plain,
    ( ( $false
      = ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ france ) ) ) )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f1582]) ).

thf(f1582,plain,
    ( ( ( ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ france ) ) )
        & $true )
      = $false )
    | ~ spl0_1 ),
    inference(superposition,[],[f331,f1568]) ).

thf(f1568,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ spain ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f1567]) ).

thf(f1567,plain,
    ( ( ( $true
        & ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ spain ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f1558,f1566]) ).

thf(f1566,plain,
    ( ( ( !! @ reg
        @ ^ [Y0: reg] :
            ( ( c @ Y0 @ sK3 )
           => ( c @ Y0 @ paris ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(binary_proxy_clausification,[],[f1558]) ).

thf(f1558,plain,
    ( ( ( ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ paris ) ) )
        & ( !! @ reg
          @ ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ spain ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(beta_eta_normalization,[],[f1553]) ).

thf(f1553,plain,
    ( ( ( ^ [Y0: reg] :
            ( ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ paris ) ) )
            & ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ spain ) ) ) )
        @ sK3 )
      = $true )
    | ~ spl0_1 ),
    inference(sigma_clausification,[],[f1539]) ).

thf(f1539,plain,
    ( ( ( ?? @ reg
        @ ^ [Y0: reg] :
            ( ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ paris ) ) )
            & ( !! @ reg
              @ ^ [Y1: reg] :
                  ( ( c @ Y1 @ Y0 )
                 => ( c @ Y1 @ spain ) ) ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f1412]) ).

thf(f1412,plain,
    ( ( $false
      = ( ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) ) )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f1410]) ).

thf(f1410,plain,
    ( ( ( $true
        & ~ ( ?? @ reg
            @ ^ [Y0: reg] :
                ( ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ paris ) ) )
                & ( !! @ reg
                  @ ^ [Y1: reg] :
                      ( ( c @ Y1 @ Y0 )
                     => ( c @ Y1 @ spain ) ) ) ) ) )
      = $false )
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f1118,f1407]) ).

thf(f1407,plain,
    ( ( ( c @ spain @ paris )
      = $true )
    | ~ spl0_1 ),
    inference(not_proxy_clausification,[],[f86]) ).

thf(f86,plain,
    ( ( ( ~ ( c @ spain @ paris ) )
      = $false )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f85]) ).

thf(f85,plain,
    ( spl0_1
  <=> ( ( ~ ( c @ spain @ paris ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f1631,plain,
    ( ! [X1: reg] :
        ( ( ( c @ X1 @ sK3 )
         => ( c @ X1 @ paris ) )
        = $true )
    | ~ spl0_1 ),
    inference(beta_eta_normalization,[],[f1630]) ).

thf(f1630,plain,
    ( ! [X1: reg] :
        ( ( ^ [Y0: reg] :
              ( ( c @ Y0 @ sK3 )
             => ( c @ Y0 @ paris ) )
          @ X1 )
        = $true )
    | ~ spl0_1 ),
    inference(pi_clausification,[],[f1566]) ).

thf(f1722,plain,
    ( ( ( ~ ( c @ sK14 @ paris ) )
      = $true )
    | ~ spl0_1 ),
    inference(boolean_simplification,[],[f1711]) ).

thf(f1711,plain,
    ( ( ( ( c @ sK14 @ paris )
       => $false )
      = $true )
    | ~ spl0_1 ),
    inference(superposition,[],[f215,f1697]) ).

thf(f1697,plain,
    ( ( $false
      = ( c @ sK14 @ france ) )
    | ~ spl0_1 ),
    inference(binary_proxy_clausification,[],[f1681]) ).

thf(f90,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f83,f88,f85]) ).

thf(f83,plain,
    ( ( ( ~ ( c @ catalunya @ paris ) )
      = $false )
    | ( ( ~ ( c @ spain @ paris ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f80]) ).

thf(f80,plain,
    ( $false
    = ( ~ ( c @ catalunya @ paris )
      & ~ ( c @ spain @ paris ) ) ),
    inference(not_proxy_clausification,[],[f75]) ).

thf(f75,plain,
    ( ( ~ ( ~ ( c @ catalunya @ paris )
          & ~ ( c @ spain @ paris ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f71]) ).

thf(f71,plain,
    ( ( ~ ( ( ^ [Y0: reg,Y1: reg] :
                ~ ( c @ Y0 @ Y1 )
            @ catalunya
            @ paris )
          & ( ^ [Y0: reg,Y1: reg] :
                ~ ( c @ Y0 @ Y1 )
            @ spain
            @ paris ) ) )
    = $true ),
    inference(definition_unfolding,[],[f53,f56,f56]) ).

thf(f56,plain,
    ( dc
    = ( ^ [Y0: reg,Y1: reg] :
          ~ ( c @ Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f27]) ).

thf(f27,plain,
    ( dc
    = ( ^ [Y0: reg,Y1: reg] :
          ~ ( c @ Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f26]) ).

thf(f26,plain,
    ( dc
    = ( ^ [X0: reg,X1: reg] :
          ~ ( c @ X0 @ X1 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( dc
    = ( ^ [X0: reg,X1: reg] :
          ~ ( c @ X0 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc) ).

thf(f53,plain,
    ( ( ~ ( ( dc @ catalunya @ paris )
          & ( dc @ spain @ paris ) ) )
    = $true ),
    inference(cnf_transformation,[],[f39]) ).

thf(f39,plain,
    ( ( ~ ( ( dc @ catalunya @ paris )
          & ( dc @ spain @ paris ) ) )
    = $true ),
    inference(fool_elimination,[],[f38]) ).

thf(f38,plain,
    ~ ( ( dc @ spain @ paris )
      & ( dc @ catalunya @ paris ) ),
    inference(rectify,[],[f16]) ).

thf(f16,negated_conjecture,
    ~ ( ( dc @ spain @ paris )
      & ( dc @ catalunya @ paris ) ),
    inference(negated_conjecture,[],[f15]) ).

thf(f15,conjecture,
    ( ( dc @ spain @ paris )
    & ( dc @ catalunya @ paris ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : GEG002^1 : TPTP v8.2.0. Released v4.1.0.
% 0.08/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.17/0.39  % Computer : n017.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Sat May 18 21:56:08 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  This is a TH0_THM_EQU_NAR problem
% 0.17/0.39  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.41  % (8262)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.41  % (8256)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.41  % (8261)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.41  % (8260)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.25/0.41  % (8262)Instruction limit reached!
% 0.25/0.41  % (8262)------------------------------
% 0.25/0.41  % (8262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.41  % (8262)Termination reason: Unknown
% 0.25/0.41  % (8262)Termination phase: Function definition elimination
% 0.25/0.41  
% 0.25/0.41  % (8262)Memory used [KB]: 1023
% 0.25/0.41  % (8262)Time elapsed: 0.003 s
% 0.25/0.41  % (8262)Instructions burned: 3 (million)
% 0.25/0.41  % (8262)------------------------------
% 0.25/0.41  % (8262)------------------------------
% 0.25/0.41  % (8258)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.41  % (8256)Instruction limit reached!
% 0.25/0.41  % (8256)------------------------------
% 0.25/0.41  % (8256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.41  % (8256)Termination reason: Unknown
% 0.25/0.41  % (8256)Termination phase: Property scanning
% 0.25/0.41  
% 0.25/0.41  % (8256)Memory used [KB]: 1023
% 0.25/0.41  % (8256)Time elapsed: 0.004 s
% 0.25/0.41  % (8256)Instructions burned: 5 (million)
% 0.25/0.41  % (8256)------------------------------
% 0.25/0.41  % (8256)------------------------------
% 0.25/0.41  % (8260)Refutation not found, incomplete strategy
% 0.25/0.41  % (8260)------------------------------
% 0.25/0.41  % (8260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.41  % (8260)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.41  
% 0.25/0.41  
% 0.25/0.41  % (8260)Memory used [KB]: 5500
% 0.25/0.41  % (8260)Time elapsed: 0.004 s
% 0.25/0.41  % (8260)Instructions burned: 4 (million)
% 0.25/0.41  % (8260)------------------------------
% 0.25/0.41  % (8260)------------------------------
% 0.25/0.41  % (8258)Instruction limit reached!
% 0.25/0.41  % (8258)------------------------------
% 0.25/0.41  % (8258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.41  % (8258)Termination reason: Unknown
% 0.25/0.41  % (8258)Termination phase: Function definition elimination
% 0.25/0.41  
% 0.25/0.41  % (8258)Memory used [KB]: 1023
% 0.25/0.41  % (8258)Time elapsed: 0.004 s
% 0.25/0.41  % (8258)Instructions burned: 3 (million)
% 0.25/0.41  % (8258)------------------------------
% 0.25/0.41  % (8258)------------------------------
% 0.25/0.42  % (8255)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.25/0.42  % (8261)Instruction limit reached!
% 0.25/0.42  % (8261)------------------------------
% 0.25/0.42  % (8261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (8261)Termination reason: Unknown
% 0.25/0.42  % (8261)Termination phase: Saturation
% 0.25/0.42  
% 0.25/0.42  % (8261)Memory used [KB]: 5628
% 0.25/0.42  % (8261)Time elapsed: 0.012 s
% 0.25/0.42  % (8261)Instructions burned: 18 (million)
% 0.25/0.42  % (8261)------------------------------
% 0.25/0.42  % (8261)------------------------------
% 0.25/0.42  % (8257)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.25/0.42  % (8259)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.42  % (8259)Instruction limit reached!
% 0.25/0.42  % (8259)------------------------------
% 0.25/0.42  % (8259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.42  % (8259)Termination reason: Unknown
% 0.25/0.42  % (8259)Termination phase: Property scanning
% 0.25/0.42  
% 0.25/0.42  % (8259)Memory used [KB]: 1023
% 0.25/0.42  % (8259)Time elapsed: 0.003 s
% 0.25/0.42  % (8259)Instructions burned: 3 (million)
% 0.25/0.42  % (8259)------------------------------
% 0.25/0.42  % (8259)------------------------------
% 0.25/0.43  % (8263)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.25/0.43  % (8264)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.25/0.43  % (8265)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.43  % (8265)Instruction limit reached!
% 0.25/0.43  % (8265)------------------------------
% 0.25/0.43  % (8265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43  % (8265)Termination reason: Unknown
% 0.25/0.43  % (8265)Termination phase: Function definition elimination
% 0.25/0.43  
% 0.25/0.43  % (8265)Memory used [KB]: 1023
% 0.25/0.43  % (8265)Time elapsed: 0.004 s
% 0.25/0.43  % (8265)Instructions burned: 4 (million)
% 0.25/0.43  % (8265)------------------------------
% 0.25/0.43  % (8265)------------------------------
% 0.25/0.43  % (8264)Refutation not found, incomplete strategy
% 0.25/0.43  % (8264)------------------------------
% 0.25/0.43  % (8264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43  % (8264)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.43  
% 0.25/0.43  
% 0.25/0.43  % (8264)Memory used [KB]: 5628
% 0.25/0.43  % (8264)Time elapsed: 0.006 s
% 0.25/0.43  % (8264)Instructions burned: 9 (million)
% 0.25/0.43  % (8264)------------------------------
% 0.25/0.43  % (8264)------------------------------
% 0.25/0.43  % (8267)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.44  % (8268)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.25/0.44  % (8257)Instruction limit reached!
% 0.25/0.44  % (8257)------------------------------
% 0.25/0.44  % (8257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (8257)Termination reason: Unknown
% 0.25/0.44  % (8257)Termination phase: Saturation
% 0.25/0.44  
% 0.25/0.44  % (8257)Memory used [KB]: 5628
% 0.25/0.44  % (8257)Time elapsed: 0.019 s
% 0.25/0.44  % (8257)Instructions burned: 27 (million)
% 0.25/0.44  % (8257)------------------------------
% 0.25/0.44  % (8257)------------------------------
% 0.25/0.44  % (8267)Instruction limit reached!
% 0.25/0.44  % (8267)------------------------------
% 0.25/0.44  % (8267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (8267)Termination reason: Unknown
% 0.25/0.44  % (8267)Termination phase: Saturation
% 0.25/0.44  
% 0.25/0.44  % (8267)Memory used [KB]: 1023
% 0.25/0.44  % (8267)Time elapsed: 0.006 s
% 0.25/0.44  % (8267)Instructions burned: 7 (million)
% 0.25/0.44  % (8267)------------------------------
% 0.25/0.44  % (8267)------------------------------
% 0.25/0.44  % (8268)Instruction limit reached!
% 0.25/0.44  % (8268)------------------------------
% 0.25/0.44  % (8268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44  % (8268)Termination reason: Unknown
% 0.25/0.44  % (8268)Termination phase: Saturation
% 0.25/0.44  
% 0.25/0.44  % (8268)Memory used [KB]: 5500
% 0.25/0.44  % (8268)Time elapsed: 0.010 s
% 0.25/0.44  % (8268)Instructions burned: 17 (million)
% 0.25/0.44  % (8268)------------------------------
% 0.25/0.44  % (8268)------------------------------
% 0.25/0.45  % (8269)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.45  % (8263)Instruction limit reached!
% 0.25/0.45  % (8263)------------------------------
% 0.25/0.45  % (8263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45  % (8263)Termination reason: Unknown
% 0.25/0.45  % (8263)Termination phase: Saturation
% 0.25/0.45  
% 0.25/0.45  % (8263)Memory used [KB]: 5756
% 0.25/0.45  % (8263)Time elapsed: 0.022 s
% 0.25/0.45  % (8263)Instructions burned: 38 (million)
% 0.25/0.45  % (8263)------------------------------
% 0.25/0.45  % (8263)------------------------------
% 0.25/0.45  % (8269)Instruction limit reached!
% 0.25/0.45  % (8269)------------------------------
% 0.25/0.45  % (8269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45  % (8269)Termination reason: Unknown
% 0.25/0.45  % (8269)Termination phase: SInE selection
% 0.25/0.45  
% 0.25/0.45  % (8269)Memory used [KB]: 1023
% 0.25/0.45  % (8269)Time elapsed: 0.003 s
% 0.25/0.45  % (8269)Instructions burned: 3 (million)
% 0.25/0.45  % (8269)------------------------------
% 0.25/0.45  % (8269)------------------------------
% 0.25/0.45  % (8270)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.45  % (8270)Instruction limit reached!
% 0.25/0.45  % (8270)------------------------------
% 0.25/0.45  % (8270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45  % (8270)Termination reason: Unknown
% 0.25/0.45  % (8270)Termination phase: Property scanning
% 0.25/0.45  
% 0.25/0.45  % (8270)Memory used [KB]: 1023
% 0.25/0.45  % (8270)Time elapsed: 0.003 s
% 0.25/0.45  % (8270)Instructions burned: 3 (million)
% 0.25/0.45  % (8270)------------------------------
% 0.25/0.45  % (8270)------------------------------
% 0.25/0.45  % (8266)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.25/0.45  % (8271)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.45  % (8272)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.25/0.45  % (8272)Instruction limit reached!
% 0.25/0.45  % (8272)------------------------------
% 0.25/0.45  % (8272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46  % (8271)Instruction limit reached!
% 0.25/0.46  % (8271)------------------------------
% 0.25/0.46  % (8271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46  % (8271)Termination reason: Unknown
% 0.25/0.46  % (8271)Termination phase: Saturation
% 0.25/0.46  
% 0.25/0.46  % (8271)Memory used [KB]: 5500
% 0.25/0.46  % (8271)Time elapsed: 0.006 s
% 0.25/0.46  % (8271)Instructions burned: 7 (million)
% 0.25/0.46  % (8271)------------------------------
% 0.25/0.46  % (8271)------------------------------
% 0.25/0.46  % (8272)Termination reason: Unknown
% 0.25/0.46  % (8272)Termination phase: Function definition elimination
% 0.25/0.46  
% 0.25/0.46  % (8272)Memory used [KB]: 1023
% 0.25/0.46  % (8272)Time elapsed: 0.004 s
% 0.25/0.46  % (8272)Instructions burned: 4 (million)
% 0.25/0.46  % (8272)------------------------------
% 0.25/0.46  % (8272)------------------------------
% 0.25/0.46  % (8274)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.25/0.46  % (8273)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.46  % (8275)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.25/0.46  % (8273)Instruction limit reached!
% 0.25/0.46  % (8273)------------------------------
% 0.25/0.46  % (8273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46  % (8273)Termination reason: Unknown
% 0.25/0.46  % (8273)Termination phase: Property scanning
% 0.25/0.46  
% 0.25/0.46  % (8273)Memory used [KB]: 1023
% 0.25/0.46  % (8273)Time elapsed: 0.004 s
% 0.25/0.46  % (8273)Instructions burned: 5 (million)
% 0.25/0.46  % (8273)------------------------------
% 0.25/0.46  % (8273)------------------------------
% 0.25/0.46  % (8275)Refutation not found, incomplete strategy
% 0.25/0.46  % (8275)------------------------------
% 0.25/0.46  % (8275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46  % (8275)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.46  
% 0.25/0.46  
% 0.25/0.46  % (8275)Memory used [KB]: 5500
% 0.25/0.46  % (8275)Time elapsed: 0.005 s
% 0.25/0.46  % (8275)Instructions burned: 4 (million)
% 0.25/0.46  % (8275)------------------------------
% 0.25/0.46  % (8275)------------------------------
% 0.25/0.47  % (8276)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.25/0.47  % (8277)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.25/0.47  % (8278)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.25/0.47  % (8274)Instruction limit reached!
% 0.25/0.47  % (8274)------------------------------
% 0.25/0.47  % (8274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47  % (8274)Termination reason: Unknown
% 0.25/0.47  % (8274)Termination phase: Saturation
% 0.25/0.47  
% 0.25/0.47  % (8276)Instruction limit reached!
% 0.25/0.47  % (8276)------------------------------
% 0.25/0.47  % (8276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47  % (8274)Memory used [KB]: 5628
% 0.25/0.47  % (8274)Time elapsed: 0.013 s
% 0.25/0.47  % (8274)Instructions burned: 18 (million)
% 0.25/0.47  % (8274)------------------------------
% 0.25/0.47  % (8274)------------------------------
% 0.25/0.47  % (8276)Termination reason: Unknown
% 0.25/0.47  % (8276)Termination phase: Saturation
% 0.25/0.47  
% 0.25/0.47  % (8276)Memory used [KB]: 5500
% 0.25/0.47  % (8276)Time elapsed: 0.005 s
% 0.25/0.47  % (8276)Instructions burned: 6 (million)
% 0.25/0.47  % (8276)------------------------------
% 0.25/0.47  % (8276)------------------------------
% 0.25/0.47  % (8277)Refutation not found, incomplete strategy
% 0.25/0.47  % (8277)------------------------------
% 0.25/0.47  % (8277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47  % (8277)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.47  
% 0.25/0.47  
% 0.25/0.47  % (8277)Memory used [KB]: 5500
% 0.25/0.47  % (8277)Time elapsed: 0.005 s
% 0.25/0.47  % (8277)Instructions burned: 4 (million)
% 0.25/0.47  % (8277)------------------------------
% 0.25/0.47  % (8277)------------------------------
% 0.25/0.48  % (8279)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.25/0.48  % (8278)Instruction limit reached!
% 0.25/0.48  % (8278)------------------------------
% 0.25/0.48  % (8278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48  % (8278)Termination reason: Unknown
% 0.25/0.48  % (8278)Termination phase: Saturation
% 0.25/0.48  
% 0.25/0.48  % (8278)Memory used [KB]: 5628
% 0.25/0.48  % (8278)Time elapsed: 0.015 s
% 0.25/0.48  % (8278)Instructions burned: 21 (million)
% 0.25/0.48  % (8278)------------------------------
% 0.25/0.48  % (8278)------------------------------
% 0.25/0.48  % (8279)Instruction limit reached!
% 0.25/0.48  % (8279)------------------------------
% 0.25/0.48  % (8279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48  % (8279)Termination reason: Unknown
% 0.25/0.48  % (8279)Termination phase: Saturation
% 0.25/0.48  
% 0.25/0.48  % (8279)Memory used [KB]: 5500
% 0.25/0.48  % (8279)Time elapsed: 0.005 s
% 0.25/0.48  % (8279)Instructions burned: 6 (million)
% 0.25/0.48  % (8279)------------------------------
% 0.25/0.48  % (8279)------------------------------
% 0.25/0.48  % (8280)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.25/0.49  % (8282)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.25/0.49  % (8281)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.25/0.49  % (8280)Instruction limit reached!
% 0.25/0.49  % (8280)------------------------------
% 0.25/0.49  % (8280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.49  % (8280)Termination reason: Unknown
% 0.25/0.49  % (8280)Termination phase: Saturation
% 0.25/0.49  
% 0.25/0.49  % (8280)Memory used [KB]: 5500
% 0.25/0.49  % (8280)Time elapsed: 0.008 s
% 0.25/0.49  % (8280)Instructions burned: 6 (million)
% 0.25/0.49  % (8280)------------------------------
% 0.25/0.49  % (8280)------------------------------
% 0.25/0.49  % (8284)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.25/0.50  % (8283)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.25/0.51  % (8283)Instruction limit reached!
% 0.25/0.51  % (8283)------------------------------
% 0.25/0.51  % (8283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.51  % (8283)Termination reason: Unknown
% 0.25/0.51  % (8283)Termination phase: Saturation
% 0.25/0.51  
% 0.25/0.51  % (8283)Memory used [KB]: 5628
% 0.25/0.51  % (8283)Time elapsed: 0.035 s
% 0.25/0.51  % (8283)Instructions burned: 20 (million)
% 0.25/0.51  % (8283)------------------------------
% 0.25/0.51  % (8283)------------------------------
% 0.25/0.51  % (8285)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.25/0.51  % (8286)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.97/0.51  % (8286)Instruction limit reached!
% 0.97/0.51  % (8286)------------------------------
% 0.97/0.51  % (8286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.97/0.51  % (8286)Termination reason: Unknown
% 0.97/0.51  % (8286)Termination phase: Preprocessing 2
% 0.97/0.51  
% 0.97/0.51  % (8286)Memory used [KB]: 1023
% 0.97/0.51  % (8286)Time elapsed: 0.003 s
% 0.97/0.51  % (8286)Instructions burned: 3 (million)
% 0.97/0.51  % (8286)------------------------------
% 0.97/0.51  % (8286)------------------------------
% 0.97/0.52  % (8285)Instruction limit reached!
% 0.97/0.52  % (8285)------------------------------
% 0.97/0.52  % (8285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.97/0.52  % (8285)Termination reason: Unknown
% 0.97/0.52  % (8285)Termination phase: Saturation
% 0.97/0.52  
% 0.97/0.52  % (8285)Memory used [KB]: 5628
% 0.97/0.52  % (8285)Time elapsed: 0.030 s
% 0.97/0.52  % (8285)Instructions burned: 18 (million)
% 0.97/0.52  % (8285)------------------------------
% 0.97/0.52  % (8285)------------------------------
% 0.97/0.52  % (8287)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.97/0.53  % (8289)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.97/0.53  % (8288)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.97/0.53  % (8287)Refutation not found, incomplete strategy
% 0.97/0.53  % (8287)------------------------------
% 0.97/0.53  % (8287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.97/0.53  % (8287)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.53  
% 0.97/0.53  
% 0.97/0.53  % (8287)Memory used [KB]: 5628
% 0.97/0.53  % (8287)Time elapsed: 0.012 s
% 0.97/0.53  % (8287)Instructions burned: 28 (million)
% 0.97/0.53  % (8287)------------------------------
% 0.97/0.53  % (8287)------------------------------
% 1.11/0.54  % (8255)Instruction limit reached!
% 1.11/0.54  % (8255)------------------------------
% 1.11/0.54  % (8255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.54  % (8255)Termination reason: Unknown
% 1.11/0.54  % (8255)Termination phase: Saturation
% 1.11/0.54  
% 1.11/0.54  % (8255)Memory used [KB]: 6396
% 1.11/0.54  % (8255)Time elapsed: 0.133 s
% 1.11/0.54  % (8255)Instructions burned: 183 (million)
% 1.11/0.54  % (8255)------------------------------
% 1.11/0.54  % (8255)------------------------------
% 1.11/0.54  % (8290)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.11/0.54  % (8290)Instruction limit reached!
% 1.11/0.54  % (8290)------------------------------
% 1.11/0.54  % (8290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.54  % (8290)Termination reason: Unknown
% 1.11/0.54  % (8290)Termination phase: Property scanning
% 1.11/0.54  
% 1.11/0.54  % (8290)Memory used [KB]: 1023
% 1.11/0.54  % (8290)Time elapsed: 0.003 s
% 1.11/0.54  % (8290)Instructions burned: 5 (million)
% 1.11/0.54  % (8290)------------------------------
% 1.11/0.54  % (8290)------------------------------
% 1.11/0.55  % (8292)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.11/0.56  % (8291)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.11/0.56  % (8289)Instruction limit reached!
% 1.11/0.56  % (8289)------------------------------
% 1.11/0.56  % (8289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.56  % (8289)Termination reason: Unknown
% 1.11/0.56  % (8289)Termination phase: Saturation
% 1.11/0.56  
% 1.11/0.56  % (8289)Memory used [KB]: 5884
% 1.11/0.56  % (8289)Time elapsed: 0.036 s
% 1.11/0.56  % (8289)Instructions burned: 100 (million)
% 1.11/0.56  % (8289)------------------------------
% 1.11/0.56  % (8289)------------------------------
% 1.11/0.57  % (8291)Instruction limit reached!
% 1.11/0.57  % (8291)------------------------------
% 1.11/0.57  % (8291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.57  % (8291)Termination reason: Unknown
% 1.11/0.57  % (8291)Termination phase: Saturation
% 1.11/0.57  
% 1.11/0.57  % (8291)Memory used [KB]: 5628
% 1.11/0.57  % (8291)Time elapsed: 0.012 s
% 1.11/0.57  % (8291)Instructions burned: 22 (million)
% 1.11/0.57  % (8291)------------------------------
% 1.11/0.57  % (8291)------------------------------
% 1.11/0.58  % (8294)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.11/0.58  % (8293)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.11/0.58  % (8288)Instruction limit reached!
% 1.11/0.58  % (8288)------------------------------
% 1.11/0.58  % (8288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.58  % (8288)Termination reason: Unknown
% 1.11/0.58  % (8288)Termination phase: Saturation
% 1.11/0.58  
% 1.11/0.58  % (8288)Memory used [KB]: 5884
% 1.11/0.58  % (8288)Time elapsed: 0.052 s
% 1.11/0.58  % (8288)Instructions burned: 127 (million)
% 1.11/0.58  % (8288)------------------------------
% 1.11/0.58  % (8288)------------------------------
% 1.11/0.58  % (8292)Instruction limit reached!
% 1.11/0.58  % (8292)------------------------------
% 1.11/0.58  % (8292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.58  % (8292)Termination reason: Unknown
% 1.11/0.58  % (8292)Termination phase: Saturation
% 1.11/0.58  
% 1.11/0.58  % (8292)Memory used [KB]: 5884
% 1.11/0.58  % (8292)Time elapsed: 0.032 s
% 1.11/0.58  % (8292)Instructions burned: 87 (million)
% 1.11/0.58  % (8292)------------------------------
% 1.11/0.58  % (8292)------------------------------
% 1.11/0.59  % (8295)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 1.11/0.59  % (8294)Instruction limit reached!
% 1.11/0.59  % (8294)------------------------------
% 1.11/0.59  % (8294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.59  % (8294)Termination reason: Unknown
% 1.11/0.59  % (8294)Termination phase: Saturation
% 1.11/0.59  
% 1.11/0.59  % (8294)Memory used [KB]: 5756
% 1.11/0.59  % (8294)Time elapsed: 0.015 s
% 1.11/0.59  % (8294)Instructions burned: 39 (million)
% 1.11/0.59  % (8294)------------------------------
% 1.11/0.59  % (8294)------------------------------
% 1.11/0.59  % (8296)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.11/0.60  % (8295)Refutation not found, incomplete strategy
% 1.11/0.60  % (8295)------------------------------
% 1.11/0.60  % (8295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.60  % (8295)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.60  
% 1.11/0.60  
% 1.11/0.60  % (8295)Memory used [KB]: 5628
% 1.11/0.60  % (8295)Time elapsed: 0.030 s
% 1.11/0.60  % (8295)Instructions burned: 22 (million)
% 1.11/0.60  % (8295)------------------------------
% 1.11/0.60  % (8295)------------------------------
% 1.11/0.60  % (8297)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 1.11/0.61  % (8298)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 1.11/0.61  % (8298)Refutation not found, incomplete strategy
% 1.11/0.61  % (8298)------------------------------
% 1.11/0.61  % (8298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.61  % (8298)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.61  
% 1.11/0.61  
% 1.11/0.61  % (8298)Memory used [KB]: 5628
% 1.11/0.61  % (8298)Time elapsed: 0.006 s
% 1.11/0.61  % (8298)Instructions burned: 12 (million)
% 1.11/0.61  % (8298)------------------------------
% 1.11/0.61  % (8298)------------------------------
% 1.11/0.61  % (8296)Instruction limit reached!
% 1.11/0.61  % (8296)------------------------------
% 1.11/0.61  % (8296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.61  % (8296)Termination reason: Unknown
% 1.11/0.61  % (8296)Termination phase: Saturation
% 1.11/0.61  
% 1.11/0.61  % (8296)Memory used [KB]: 5756
% 1.11/0.61  % (8296)Time elapsed: 0.042 s
% 1.11/0.61  % (8296)Instructions burned: 47 (million)
% 1.11/0.61  % (8296)------------------------------
% 1.11/0.61  % (8296)------------------------------
% 1.11/0.62  % (8299)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 1.11/0.62  % (8300)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.80/0.63  % (8300)Instruction limit reached!
% 1.80/0.63  % (8300)------------------------------
% 1.80/0.63  % (8300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.63  % (8300)Termination reason: Unknown
% 1.80/0.63  % (8300)Termination phase: Saturation
% 1.80/0.63  
% 1.80/0.63  % (8300)Memory used [KB]: 5756
% 1.80/0.63  % (8300)Time elapsed: 0.037 s
% 1.80/0.63  % (8300)Instructions burned: 39 (million)
% 1.80/0.63  % (8300)------------------------------
% 1.80/0.63  % (8300)------------------------------
% 1.80/0.64  % (8297)Instruction limit reached!
% 1.80/0.64  % (8297)------------------------------
% 1.80/0.64  % (8297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.64  % (8297)Termination reason: Unknown
% 1.80/0.64  % (8297)Termination phase: Saturation
% 1.80/0.64  
% 1.80/0.64  % (8297)Memory used [KB]: 1407
% 1.80/0.64  % (8297)Time elapsed: 0.068 s
% 1.80/0.64  % (8297)Instructions burned: 98 (million)
% 1.80/0.64  % (8297)------------------------------
% 1.80/0.64  % (8297)------------------------------
% 1.80/0.64  % (8293)Instruction limit reached!
% 1.80/0.64  % (8293)------------------------------
% 1.80/0.64  % (8293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.64  % (8293)Termination reason: Unknown
% 1.80/0.64  % (8293)Termination phase: Saturation
% 1.80/0.64  
% 1.80/0.64  % (8293)Memory used [KB]: 6012
% 1.80/0.64  % (8293)Time elapsed: 0.066 s
% 1.80/0.64  % (8293)Instructions burned: 108 (million)
% 1.80/0.64  % (8293)------------------------------
% 1.80/0.64  % (8293)------------------------------
% 1.80/0.64  % (8301)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.80/0.65  % (8301)Instruction limit reached!
% 1.80/0.65  % (8301)------------------------------
% 1.80/0.65  % (8301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.65  % (8301)Termination reason: Unknown
% 1.80/0.65  % (8301)Termination phase: Saturation
% 1.80/0.65  
% 1.80/0.65  % (8301)Memory used [KB]: 9978
% 1.80/0.65  % (8301)Time elapsed: 0.004 s
% 1.80/0.65  % (8301)Instructions burned: 6 (million)
% 1.80/0.65  % (8301)------------------------------
% 1.80/0.65  % (8301)------------------------------
% 1.80/0.65  % (8304)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 1.80/0.66  % (8302)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 1.80/0.66  % (8303)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.80/0.66  % (8302)Refutation not found, incomplete strategy
% 1.80/0.66  % (8302)------------------------------
% 1.80/0.66  % (8302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.66  % (8302)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.66  
% 1.80/0.66  
% 1.80/0.66  % (8302)Memory used [KB]: 5500
% 1.80/0.66  % (8302)Time elapsed: 0.004 s
% 1.80/0.66  % (8302)Instructions burned: 4 (million)
% 1.80/0.66  % (8302)------------------------------
% 1.80/0.66  % (8302)------------------------------
% 1.80/0.66  % (8266)First to succeed.
% 1.80/0.66  % (8281)Instruction limit reached!
% 1.80/0.66  % (8281)------------------------------
% 1.80/0.66  % (8281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.66  % (8281)Termination reason: Unknown
% 1.80/0.66  % (8281)Termination phase: Saturation
% 1.80/0.66  
% 1.80/0.66  % (8281)Memory used [KB]: 6780
% 1.80/0.66  % (8281)Time elapsed: 0.177 s
% 1.80/0.66  % (8281)Instructions burned: 377 (million)
% 1.80/0.66  % (8281)------------------------------
% 1.80/0.66  % (8281)------------------------------
% 1.80/0.66  % (8304)Refutation not found, incomplete strategy
% 1.80/0.66  % (8304)------------------------------
% 1.80/0.66  % (8304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.66  % (8304)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.66  
% 1.80/0.66  
% 1.80/0.66  % (8304)Memory used [KB]: 1151
% 1.80/0.66  % (8304)Time elapsed: 0.011 s
% 1.80/0.66  % (8304)Instructions burned: 26 (million)
% 1.80/0.66  % (8304)------------------------------
% 1.80/0.66  % (8304)------------------------------
% 1.80/0.67  % (8266)Refutation found. Thanks to Tanya!
% 1.80/0.67  % SZS status Theorem for theBenchmark
% 1.80/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.67  % (8266)------------------------------
% 1.80/0.67  % (8266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.80/0.67  % (8266)Termination reason: Refutation
% 1.80/0.67  
% 1.80/0.67  % (8266)Memory used [KB]: 6780
% 1.80/0.67  % (8266)Time elapsed: 0.240 s
% 1.80/0.67  % (8266)Instructions burned: 437 (million)
% 1.80/0.67  % (8266)------------------------------
% 1.80/0.67  % (8266)------------------------------
% 1.80/0.67  % (8254)Success in time 0.268 s
% 1.80/0.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------