TSTP Solution File: ALG260^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG260^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 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 : n013.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 18:20:27 EDT 2024

% Result   : Theorem 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   69 (  48 unt;  19 typ;   0 def)
%            Number of atoms       :  210 (  67 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  515 (  31   ~;   0   |;   0   &; 406   @)
%                                         (   0 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   87 (  87   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  19 usr;  10 con; 0-4 aty)
%                                         (  51  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  120 ( 103   ^  17   !;   0   ?; 120   :)

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

thf(type_def_7,type,
    subst: $tType ).

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

thf(func_def_1,type,
    subst: $tType ).

thf(func_def_2,type,
    one: term ).

thf(func_def_3,type,
    ap: term > term > term ).

thf(func_def_4,type,
    lam: term > term ).

thf(func_def_5,type,
    sub: term > subst > term ).

thf(func_def_6,type,
    id: subst ).

thf(func_def_7,type,
    sh: subst ).

thf(func_def_8,type,
    push: term > subst > subst ).

thf(func_def_9,type,
    comp: subst > subst > subst ).

thf(func_def_10,type,
    var: term > $o ).

thf(func_def_18,type,
    hoasap: subst > term > subst > term > term ).

thf(func_def_73,type,
    hoaslam: subst > ( subst > term > term ) > term ).

thf(func_def_86,type,
    hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).

thf(func_def_107,type,
    hoasvar: subst > term > subst > $o ).

thf(func_def_121,type,
    pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).

thf(func_def_142,type,
    sK1: subst > term > term ).

thf(f549,plain,
    $false,
    inference(trivial_inequality_removal,[],[f548]) ).

thf(f548,plain,
    $false = $true,
    inference(superposition,[],[f533,f546]) ).

thf(f546,plain,
    ( $true
    = ( var @ ( lam @ ( sK1 @ sh @ one ) ) ) ),
    inference(superposition,[],[f545,f528]) ).

thf(f528,plain,
    ! [X1: term] :
      ( ( sub @ X1 @ id )
      = X1 ),
    inference(equality_proxy_clausification,[],[f527]) ).

thf(f527,plain,
    ! [X1: term] :
      ( ( ( sub @ X1 @ id )
        = X1 )
      = $true ),
    inference(beta_eta_normalization,[],[f526]) ).

thf(f526,plain,
    ! [X1: term] :
      ( ( ^ [Y0: term] :
            ( ( sub @ Y0 @ id )
            = Y0 )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f525]) ).

thf(f525,plain,
    ( $true
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ( sub @ Y0 @ id )
          = Y0 ) ) ),
    inference(binary_proxy_clausification,[],[f523]) ).

thf(f523,plain,
    ( ( ( !! @ term
        @ ^ [Y0: term] :
            ( ( sub @ Y0 @ id )
            = Y0 ) )
     => ( ( !! @ term
          @ ^ [Y0: term] :
              ~ ( var @ ( lam @ Y0 ) ) )
       => ( !! @ ( subst > term > term )
          @ ^ [Y0: subst > term > term] :
              ( ( !! @ subst
                @ ^ [Y1: subst] :
                    ( !! @ term
                    @ ^ [Y2: term] :
                        ( !! @ subst
                        @ ^ [Y3: subst] :
                            ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                            = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
             => ~ ( var @ ( sub @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[],[f522]) ).

thf(f522,plain,
    ( $true
   != ( ( !! @ term
        @ ^ [Y0: term] :
            ( ( sub @ Y0 @ id )
            = Y0 ) )
     => ( ( !! @ term
          @ ^ [Y0: term] :
              ~ ( var @ ( lam @ Y0 ) ) )
       => ( !! @ ( subst > term > term )
          @ ^ [Y0: subst > term > term] :
              ( ( !! @ subst
                @ ^ [Y1: subst] :
                    ( !! @ term
                    @ ^ [Y2: term] :
                        ( !! @ subst
                        @ ^ [Y3: subst] :
                            ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                            = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
             => ~ ( ^ [Y1: subst,Y2: term,Y3: subst] : ( var @ ( sub @ Y2 @ Y3 ) )
                  @ id
                  @ ( ^ [Y1: subst,Y2: subst > term > term] : ( lam @ ( Y2 @ sh @ one ) )
                    @ id
                    @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
                  @ id ) ) ) ) ) ),
    inference(definition_unfolding,[],[f350,f480]) ).

thf(f480,plain,
    ( hoaslamnotvar_lthm
    = ( ( !! @ term
        @ ^ [Y0: term] :
            ( ( sub @ Y0 @ id )
            = Y0 ) )
     => ( ( !! @ term
          @ ^ [Y0: term] :
              ~ ( var @ ( lam @ Y0 ) ) )
       => ( !! @ ( subst > term > term )
          @ ^ [Y0: subst > term > term] :
              ( ( !! @ subst
                @ ^ [Y1: subst] :
                    ( !! @ term
                    @ ^ [Y2: term] :
                        ( !! @ subst
                        @ ^ [Y3: subst] :
                            ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                            = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
             => ~ ( ^ [Y1: subst,Y2: term,Y3: subst] : ( var @ ( sub @ Y2 @ Y3 ) )
                  @ id
                  @ ( ^ [Y1: subst,Y2: subst > term > term] : ( lam @ ( Y2 @ sh @ one ) )
                    @ id
                    @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
                  @ id ) ) ) ) ) ),
    inference(definition_unfolding,[],[f354,f400,f356,f454]) ).

thf(f454,plain,
    ( hoaslamnotvar
    = ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ term
                @ ^ [Y2: term] :
                    ( !! @ subst
                    @ ^ [Y3: subst] :
                        ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                        = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
         => ~ ( ^ [Y1: subst,Y2: term,Y3: subst] : ( var @ ( sub @ Y2 @ Y3 ) )
              @ id
              @ ( ^ [Y1: subst,Y2: subst > term > term] : ( lam @ ( Y2 @ sh @ one ) )
                @ id
                @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
              @ id ) ) ) ),
    inference(definition_unfolding,[],[f431,f336,f410]) ).

thf(f410,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(cnf_transformation,[],[f271]) ).

thf(f271,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(fool_elimination,[],[f270]) ).

thf(f270,plain,
    ( hoaslam
    = ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) ) ),
    inference(rectify,[],[f56]) ).

thf(f56,axiom,
    ( hoaslam
    = ( ^ [X2: subst,X10: subst > term > term] : ( lam @ ( X10 @ sh @ one ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoaslam) ).

thf(f336,plain,
    ( hoasvar
    = ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f289]) ).

thf(f289,plain,
    ( hoasvar
    = ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f288]) ).

thf(f288,plain,
    ( hoasvar
    = ( ^ [X0: subst,X1: term,X2: subst] : ( var @ ( sub @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f57]) ).

thf(f57,axiom,
    ( hoasvar
    = ( ^ [X2: subst,X0: term,X3: subst] : ( var @ ( sub @ X0 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoasvar) ).

thf(f431,plain,
    ( hoaslamnotvar
    = ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ term
                @ ^ [Y2: term] :
                    ( !! @ subst
                    @ ^ [Y3: subst] :
                        ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                        = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
         => ~ ( hoasvar @ id
              @ ( hoaslam @ id
                @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
              @ id ) ) ) ),
    inference(cnf_transformation,[],[f150]) ).

thf(f150,plain,
    ( hoaslamnotvar
    = ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ term
                @ ^ [Y2: term] :
                    ( !! @ subst
                    @ ^ [Y3: subst] :
                        ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                        = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
         => ~ ( hoasvar @ id
              @ ( hoaslam @ id
                @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
              @ id ) ) ) ),
    inference(fool_elimination,[],[f149]) ).

thf(f149,plain,
    ! [X0: subst > term > term] :
      ( ( ! [X1: subst,X2: term,X3: subst] :
            ( ( sub @ ( X0 @ X3 @ X2 ) @ X1 )
            = ( X0 @ ( comp @ X3 @ X1 ) @ ( sub @ X2 @ X1 ) ) )
       => ~ ( hoasvar @ id
            @ ( hoaslam @ id
              @ ^ [X4: subst,X5: term] : ( X0 @ X4 @ X5 ) )
            @ id ) )
      = hoaslamnotvar ),
    inference(rectify,[],[f70]) ).

thf(f70,axiom,
    ! [X10: subst > term > term] :
      ( ( ! [X3: subst,X0: term,X2: subst] :
            ( ( sub @ ( X10 @ X2 @ X0 ) @ X3 )
            = ( X10 @ ( comp @ X2 @ X3 ) @ ( sub @ X0 @ X3 ) ) )
       => ~ ( hoasvar @ id
            @ ( hoaslam @ id
              @ ^ [X2: subst,X0: term] : ( X10 @ X2 @ X0 ) )
            @ id ) )
      = hoaslamnotvar ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoaslamnotvar) ).

thf(f356,plain,
    ( lamnotvar
    = ( !! @ term
      @ ^ [Y0: term] :
          ~ ( var @ ( lam @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f275]) ).

thf(f275,plain,
    ( lamnotvar
    = ( !! @ term
      @ ^ [Y0: term] :
          ~ ( var @ ( lam @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f274]) ).

thf(f274,plain,
    ! [X0: term] :
      ( ( ~ ( var @ ( lam @ X0 ) ) )
      = lamnotvar ),
    inference(rectify,[],[f22]) ).

thf(f22,axiom,
    ! [X0: term] :
      ( ( ~ ( var @ ( lam @ X0 ) ) )
      = lamnotvar ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lamnotvar) ).

thf(f400,plain,
    ( axvarid
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ( sub @ Y0 @ id )
          = Y0 ) ) ),
    inference(cnf_transformation,[],[f210]) ).

thf(f210,plain,
    ( axvarid
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ( sub @ Y0 @ id )
          = Y0 ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f3,axiom,
    ( axvarid
    = ( ! [X0: term] :
          ( ( sub @ X0 @ id )
          = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axvarid) ).

thf(f354,plain,
    ( hoaslamnotvar_lthm
    = ( axvarid
     => ( lamnotvar
       => hoaslamnotvar ) ) ),
    inference(cnf_transformation,[],[f132]) ).

thf(f132,plain,
    ( hoaslamnotvar_lthm
    = ( axvarid
     => ( lamnotvar
       => hoaslamnotvar ) ) ),
    inference(fool_elimination,[],[f131]) ).

thf(f131,plain,
    ( ( hoaslamnotvar_lthm = axvarid )
   => ( lamnotvar
     => hoaslamnotvar ) ),
    inference(rectify,[],[f72]) ).

thf(f72,axiom,
    ( ( hoaslamnotvar_lthm = axvarid )
   => ( lamnotvar
     => hoaslamnotvar ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoaslamnotvar_lthm) ).

thf(f350,plain,
    hoaslamnotvar_lthm != $true,
    inference(cnf_transformation,[],[f330]) ).

thf(f330,plain,
    hoaslamnotvar_lthm != $true,
    inference(flattening,[],[f285]) ).

thf(f285,plain,
    hoaslamnotvar_lthm != $true,
    inference(fool_elimination,[],[f284]) ).

thf(f284,plain,
    ~ hoaslamnotvar_lthm,
    inference(rectify,[],[f115]) ).

thf(f115,negated_conjecture,
    ~ hoaslamnotvar_lthm,
    inference(negated_conjecture,[],[f114]) ).

thf(f114,conjecture,
    hoaslamnotvar_lthm,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).

thf(f545,plain,
    ( $true
    = ( var @ ( sub @ ( lam @ ( sK1 @ sh @ one ) ) @ id ) ) ),
    inference(not_proxy_clausification,[],[f536]) ).

thf(f536,plain,
    ( $false
    = ( ~ ( var @ ( sub @ ( lam @ ( sK1 @ sh @ one ) ) @ id ) ) ) ),
    inference(binary_proxy_clausification,[],[f535]) ).

thf(f535,plain,
    ( $false
    = ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sK1 @ Y0 @ Y1 ) @ Y2 )
                    = ( sK1 @ ( comp @ Y0 @ Y2 ) @ ( sub @ Y1 @ Y2 ) ) ) ) ) )
     => ~ ( var @ ( sub @ ( lam @ ( sK1 @ sh @ one ) ) @ id ) ) ) ),
    inference(beta_eta_normalization,[],[f534]) ).

thf(f534,plain,
    ( $false
    = ( ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ term
                @ ^ [Y2: term] :
                    ( !! @ subst
                    @ ^ [Y3: subst] :
                        ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                        = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
         => ~ ( var @ ( sub @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) )
      @ sK1 ) ),
    inference(sigma_clausification,[],[f529]) ).

thf(f529,plain,
    ( ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ term
                @ ^ [Y2: term] :
                    ( !! @ subst
                    @ ^ [Y3: subst] :
                        ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                        = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
         => ~ ( var @ ( sub @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f524]) ).

thf(f524,plain,
    ( $false
    = ( ( !! @ term
        @ ^ [Y0: term] :
            ~ ( var @ ( lam @ Y0 ) ) )
     => ( !! @ ( subst > term > term )
        @ ^ [Y0: subst > term > term] :
            ( ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ term
                  @ ^ [Y2: term] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
                          = ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
           => ~ ( var @ ( sub @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f523]) ).

thf(f533,plain,
    ! [X1: term] :
      ( $false
      = ( var @ ( lam @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f532]) ).

thf(f532,plain,
    ! [X1: term] :
      ( ( ~ ( var @ ( lam @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f531]) ).

thf(f531,plain,
    ! [X1: term] :
      ( $true
      = ( ^ [Y0: term] :
            ~ ( var @ ( lam @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f530]) ).

thf(f530,plain,
    ( ( !! @ term
      @ ^ [Y0: term] :
          ~ ( var @ ( lam @ Y0 ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f524]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG260^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.06/0.14  % 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
% 0.12/0.35  % Computer : n013.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Sat May 18 22:45:23 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  This is a TH0_THM_EQU_NAR problem
% 0.12/0.35  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
% 0.12/0.38  % (26709)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)
% 0.12/0.38  % (26711)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38  % (26712)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)
% 0.12/0.38  % (26710)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)
% 0.12/0.38  % (26713)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)
% 0.12/0.38  % (26708)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38  % (26714)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38  % (26715)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)
% 0.12/0.38  % (26712)Instruction limit reached!
% 0.12/0.38  % (26712)------------------------------
% 0.12/0.38  % (26712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (26712)Termination reason: Unknown
% 0.12/0.38  % (26712)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (26712)Memory used [KB]: 1151
% 0.12/0.38  % (26712)Time elapsed: 0.003 s
% 0.12/0.38  % (26712)Instructions burned: 2 (million)
% 0.12/0.38  % (26712)------------------------------
% 0.12/0.38  % (26712)------------------------------
% 0.12/0.38  % (26711)Instruction limit reached!
% 0.12/0.38  % (26711)------------------------------
% 0.12/0.38  % (26711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (26711)Termination reason: Unknown
% 0.12/0.38  % (26711)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (26711)Memory used [KB]: 1279
% 0.12/0.38  % (26711)Time elapsed: 0.004 s
% 0.12/0.38  % (26711)Instructions burned: 4 (million)
% 0.12/0.38  % (26711)------------------------------
% 0.12/0.38  % (26711)------------------------------
% 0.12/0.38  % (26715)Instruction limit reached!
% 0.12/0.38  % (26715)------------------------------
% 0.12/0.38  % (26715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (26715)Termination reason: Unknown
% 0.12/0.38  % (26715)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (26715)Memory used [KB]: 1279
% 0.12/0.38  % (26715)Time elapsed: 0.003 s
% 0.12/0.38  % (26715)Instructions burned: 4 (million)
% 0.12/0.38  % (26715)------------------------------
% 0.12/0.38  % (26715)------------------------------
% 0.12/0.38  % (26709)Instruction limit reached!
% 0.12/0.38  % (26709)------------------------------
% 0.12/0.38  % (26709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (26709)Termination reason: Unknown
% 0.12/0.38  % (26709)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (26709)Memory used [KB]: 1279
% 0.12/0.38  % (26709)Time elapsed: 0.004 s
% 0.12/0.38  % (26709)Instructions burned: 6 (million)
% 0.12/0.38  % (26709)------------------------------
% 0.12/0.38  % (26709)------------------------------
% 0.12/0.39  % (26714)Instruction limit reached!
% 0.12/0.39  % (26714)------------------------------
% 0.12/0.39  % (26714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (26714)Termination reason: Unknown
% 0.12/0.39  % (26714)Termination phase: Property scanning
% 0.12/0.39  
% 0.12/0.39  % (26714)Memory used [KB]: 1663
% 0.12/0.39  % (26714)Time elapsed: 0.011 s
% 0.12/0.39  % (26714)Instructions burned: 19 (million)
% 0.12/0.39  % (26714)------------------------------
% 0.12/0.39  % (26714)------------------------------
% 0.12/0.39  % (26710)Instruction limit reached!
% 0.12/0.39  % (26710)------------------------------
% 0.12/0.39  % (26710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (26710)Termination reason: Unknown
% 0.12/0.39  % (26710)Termination phase: Property scanning
% 0.12/0.39  
% 0.12/0.39  % (26710)Memory used [KB]: 1791
% 0.12/0.39  % (26710)Time elapsed: 0.013 s
% 0.12/0.39  % (26710)Instructions burned: 27 (million)
% 0.12/0.39  % (26710)------------------------------
% 0.12/0.39  % (26710)------------------------------
% 0.12/0.39  % (26713)Refutation not found, incomplete strategy
% 0.12/0.39  % (26713)------------------------------
% 0.12/0.39  % (26713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (26713)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  % (26713)Memory used [KB]: 6140
% 0.12/0.39  % (26713)Time elapsed: 0.014 s
% 0.12/0.39  % (26713)Instructions burned: 25 (million)
% 0.12/0.39  % (26713)------------------------------
% 0.12/0.39  % (26713)------------------------------
% 0.12/0.39  % (26716)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)
% 0.12/0.39  % (26717)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)
% 0.12/0.39  % (26718)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)
% 0.12/0.40  % (26719)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)
% 0.12/0.40  % (26718)Instruction limit reached!
% 0.12/0.40  % (26718)------------------------------
% 0.12/0.40  % (26718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40  % (26718)Termination reason: Unknown
% 0.12/0.40  % (26718)Termination phase: shuffling
% 0.12/0.40  
% 0.12/0.40  % (26718)Memory used [KB]: 1279
% 0.12/0.40  % (26718)Time elapsed: 0.003 s
% 0.12/0.40  % (26718)Instructions burned: 4 (million)
% 0.12/0.40  % (26718)------------------------------
% 0.12/0.40  % (26718)------------------------------
% 0.12/0.40  % (26717)Instruction limit reached!
% 0.12/0.40  % (26717)------------------------------
% 0.12/0.40  % (26717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40  % (26717)Termination reason: Unknown
% 0.12/0.40  % (26717)Termination phase: Property scanning
% 0.12/0.40  
% 0.12/0.40  % (26717)Memory used [KB]: 1663
% 0.12/0.40  % (26717)Time elapsed: 0.009 s
% 0.12/0.40  % (26717)Instructions burned: 15 (million)
% 0.12/0.40  % (26717)------------------------------
% 0.12/0.40  % (26717)------------------------------
% 0.12/0.40  % (26720)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.40  % (26721)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.41  % (26720)Instruction limit reached!
% 0.19/0.41  % (26720)------------------------------
% 0.19/0.41  % (26720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (26720)Termination reason: Unknown
% 0.19/0.41  % (26720)Termination phase: shuffling
% 0.19/0.41  
% 0.19/0.41  % (26720)Memory used [KB]: 1407
% 0.19/0.41  % (26720)Time elapsed: 0.005 s
% 0.19/0.41  % (26720)Instructions burned: 8 (million)
% 0.19/0.41  % (26720)------------------------------
% 0.19/0.41  % (26720)------------------------------
% 0.19/0.41  % (26722)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)
% 0.19/0.41  % (26722)Instruction limit reached!
% 0.19/0.41  % (26722)------------------------------
% 0.19/0.41  % (26722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (26722)Termination reason: Unknown
% 0.19/0.41  % (26722)Termination phase: shuffling
% 0.19/0.41  
% 0.19/0.41  % (26722)Memory used [KB]: 1279
% 0.19/0.41  % (26722)Time elapsed: 0.004 s
% 0.19/0.41  % (26722)Instructions burned: 4 (million)
% 0.19/0.41  % (26722)------------------------------
% 0.19/0.41  % (26722)------------------------------
% 0.19/0.41  % (26723)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)
% 0.19/0.41  % (26716)Instruction limit reached!
% 0.19/0.41  % (26716)------------------------------
% 0.19/0.41  % (26716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (26716)Termination reason: Unknown
% 0.19/0.41  % (26716)Termination phase: Property scanning
% 0.19/0.41  
% 0.19/0.41  % (26716)Memory used [KB]: 1791
% 0.19/0.41  % (26716)Time elapsed: 0.018 s
% 0.19/0.41  % (26716)Instructions burned: 39 (million)
% 0.19/0.41  % (26716)------------------------------
% 0.19/0.41  % (26716)------------------------------
% 0.19/0.41  % (26723)Instruction limit reached!
% 0.19/0.41  % (26723)------------------------------
% 0.19/0.41  % (26723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (26723)Termination reason: Unknown
% 0.19/0.41  % (26723)Termination phase: shuffling
% 0.19/0.41  
% 0.19/0.41  % (26723)Memory used [KB]: 1279
% 0.19/0.41  % (26723)Time elapsed: 0.004 s
% 0.19/0.41  % (26723)Instructions burned: 4 (million)
% 0.19/0.41  % (26723)------------------------------
% 0.19/0.41  % (26723)------------------------------
% 0.19/0.41  % (26721)Instruction limit reached!
% 0.19/0.41  % (26721)------------------------------
% 0.19/0.41  % (26721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (26721)Termination reason: Unknown
% 0.19/0.41  % (26721)Termination phase: shuffling
% 0.19/0.41  
% 0.19/0.41  % (26721)Memory used [KB]: 1535
% 0.19/0.41  % (26721)Time elapsed: 0.009 s
% 0.19/0.41  % (26721)Instructions burned: 17 (million)
% 0.19/0.41  % (26721)------------------------------
% 0.19/0.41  % (26721)------------------------------
% 0.19/0.42  % (26724)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)
% 0.19/0.42  % (26725)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)
% 0.19/0.42  % (26724)Instruction limit reached!
% 0.19/0.42  % (26724)------------------------------
% 0.19/0.42  % (26724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (26724)Termination reason: Unknown
% 0.19/0.42  % (26724)Termination phase: shuffling
% 0.19/0.42  
% 0.19/0.42  % (26724)Memory used [KB]: 1407
% 0.19/0.42  % (26724)Time elapsed: 0.005 s
% 0.19/0.42  % (26724)Instructions burned: 8 (million)
% 0.19/0.42  % (26724)------------------------------
% 0.19/0.42  % (26724)------------------------------
% 0.19/0.42  % (26725)Instruction limit reached!
% 0.19/0.42  % (26725)------------------------------
% 0.19/0.42  % (26725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (26725)Termination reason: Unknown
% 0.19/0.42  % (26725)Termination phase: shuffling
% 0.19/0.42  
% 0.19/0.42  % (26725)Memory used [KB]: 1279
% 0.19/0.42  % (26725)Time elapsed: 0.003 s
% 0.19/0.42  % (26725)Instructions burned: 3 (million)
% 0.19/0.42  % (26725)------------------------------
% 0.19/0.42  % (26725)------------------------------
% 0.19/0.42  % (26708)First to succeed.
% 0.19/0.42  % (26726)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.42  % (26727)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)
% 0.19/0.42  % (26726)Instruction limit reached!
% 0.19/0.42  % (26726)------------------------------
% 0.19/0.42  % (26726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (26726)Termination reason: Unknown
% 0.19/0.42  % (26726)Termination phase: shuffling
% 0.19/0.42  
% 0.19/0.42  % (26726)Memory used [KB]: 1279
% 0.19/0.42  % (26726)Time elapsed: 0.004 s
% 0.19/0.42  % (26726)Instructions burned: 4 (million)
% 0.19/0.42  % (26726)------------------------------
% 0.19/0.42  % (26726)------------------------------
% 0.19/0.42  % (26729)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.43  % (26708)Refutation found. Thanks to Tanya!
% 0.19/0.43  % SZS status Theorem for theBenchmark
% 0.19/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.43  % (26708)------------------------------
% 0.19/0.43  % (26708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43  % (26708)Termination reason: Refutation
% 0.19/0.43  
% 0.19/0.43  % (26708)Memory used [KB]: 6524
% 0.19/0.43  % (26708)Time elapsed: 0.045 s
% 0.19/0.43  % (26708)Instructions burned: 87 (million)
% 0.19/0.43  % (26708)------------------------------
% 0.19/0.43  % (26708)------------------------------
% 0.19/0.43  % (26707)Success in time 0.062 s
% 0.19/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------