TSTP Solution File: ALG268^4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG268^4 : 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 : n005.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 18:20:43 EDT 2024

% Result   : Theorem 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   46 (  24 unt;  22 typ;   0 def)
%            Number of atoms       :   90 (  34 equ;   0 cnn)
%            Maximal formula atoms :    1 (   3 avg)
%            Number of connectives :  199 (   7   ~;   0   |;   0   &; 164   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   83 (  83   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  20 usr;  10 con; 0-4 aty)
%                                         (  22  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :   48 (  32   ^  13   !;   2   ?;  48   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% 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: term ).

thf(func_def_143,type,
    sK2: ( subst > term > term ) > term ).

thf(func_def_144,type,
    sK3: ( subst > term > term ) > subst ).

thf(func_def_145,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(f531,plain,
    $false,
    inference(equality_resolution,[],[f530]) ).

thf(f530,plain,
    ! [X1: subst > term > term] :
      ( ( X1 @ ( sK3 @ X1 ) @ ( sK2 @ X1 ) )
     != ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) ) ),
    inference(equality_proxy_clausification,[],[f529]) ).

thf(f529,plain,
    ! [X1: subst > term > term] :
      ( ( ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) )
        = ( X1 @ ( sK3 @ X1 ) @ ( sK2 @ X1 ) ) )
      = $false ),
    inference(beta_eta_normalization,[],[f528]) ).

thf(f528,plain,
    ! [X1: subst > term > term] :
      ( ( ^ [Y0: subst] :
            ( ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ Y0 ) )
            = ( X1 @ Y0 @ ( sK2 @ X1 ) ) )
        @ ( sK3 @ X1 ) )
      = $false ),
    inference(sigma_clausification,[],[f527]) ).

thf(f527,plain,
    ! [X1: subst > term > term] :
      ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ Y0 ) )
            = ( X1 @ Y0 @ ( sK2 @ X1 ) ) ) )
      = $false ),
    inference(beta_eta_normalization,[],[f526]) ).

thf(f526,plain,
    ! [X1: subst > term > term] :
      ( ( ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( sub @ sK1 @ ( push @ Y0 @ Y1 ) )
                = ( X1 @ Y1 @ Y0 ) ) )
        @ ( sK2 @ X1 ) )
      = $false ),
    inference(sigma_clausification,[],[f525]) ).

thf(f525,plain,
    ! [X1: subst > term > term] :
      ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( sub @ sK1 @ ( push @ Y0 @ Y1 ) )
                = ( X1 @ Y1 @ Y0 ) ) ) )
      = $false ),
    inference(beta_eta_normalization,[],[f524]) ).

thf(f524,plain,
    ! [X1: subst > term > term] :
      ( $false
      = ( ^ [Y0: subst > term > term] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ sK1 @ ( push @ Y1 @ Y2 ) )
                    = ( Y0 @ Y2 @ Y1 ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f523]) ).

thf(f523,plain,
    ( $false
    = ( ?? @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ sK1 @ ( push @ Y1 @ Y2 ) )
                  = ( Y0 @ Y2 @ Y1 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f522]) ).

thf(f522,plain,
    ( ( ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( !! @ term
              @ ^ [Y2: term] :
                  ( !! @ subst
                  @ ^ [Y3: subst] :
                      ( ( sub @ Y0 @ ( push @ Y2 @ Y3 ) )
                      = ( Y1 @ Y3 @ Y2 ) ) ) ) )
      @ sK1 )
    = $false ),
    inference(sigma_clausification,[],[f521]) ).

thf(f521,plain,
    ( ( !! @ term
      @ ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( !! @ term
              @ ^ [Y2: term] :
                  ( !! @ subst
                  @ ^ [Y3: subst] :
                      ( ( sub @ Y0 @ ( push @ Y2 @ Y3 ) )
                      = ( Y1 @ Y3 @ Y2 ) ) ) ) ) )
   != $true ),
    inference(definition_unfolding,[],[f349,f461]) ).

thf(f461,plain,
    ( hoasinduction_lem3v2_f_lthm
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( !! @ term
              @ ^ [Y2: term] :
                  ( !! @ subst
                  @ ^ [Y3: subst] :
                      ( ( sub @ Y0 @ ( push @ Y2 @ Y3 ) )
                      = ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f382,f431]) ).

thf(f431,plain,
    ( hoasinduction_lem3v2_f
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( !! @ term
              @ ^ [Y2: term] :
                  ( !! @ subst
                  @ ^ [Y3: subst] :
                      ( ( sub @ Y0 @ ( push @ Y2 @ Y3 ) )
                      = ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f300]) ).

thf(f300,plain,
    ( hoasinduction_lem3v2_f
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( !! @ term
              @ ^ [Y2: term] :
                  ( !! @ subst
                  @ ^ [Y3: subst] :
                      ( ( sub @ Y0 @ ( push @ Y2 @ Y3 ) )
                      = ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f299]) ).

thf(f299,plain,
    ( hoasinduction_lem3v2_f
    = ( ! [X0: term] :
        ? [X1: subst > term > term] :
        ! [X2: subst,X3: term] :
          ( ( sub @ X0 @ ( push @ X3 @ X2 ) )
          = ( X1 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f83]) ).

thf(f83,axiom,
    ( hoasinduction_lem3v2_f
    = ( ! [X1: term] :
        ? [X10: subst > term > term] :
        ! [X2: subst,X0: term] :
          ( ( sub @ X1 @ ( push @ X0 @ X2 ) )
          = ( X10 @ X2 @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoasinduction_lem3v2_f) ).

thf(f382,plain,
    hoasinduction_lem3v2_f = hoasinduction_lem3v2_f_lthm,
    inference(cnf_transformation,[],[f84]) ).

thf(f84,axiom,
    hoasinduction_lem3v2_f = hoasinduction_lem3v2_f_lthm,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoasinduction_lem3v2_f_lthm) ).

thf(f349,plain,
    hoasinduction_lem3v2_f_lthm != $true,
    inference(cnf_transformation,[],[f329]) ).

thf(f329,plain,
    hoasinduction_lem3v2_f_lthm != $true,
    inference(flattening,[],[f289]) ).

thf(f289,plain,
    hoasinduction_lem3v2_f_lthm != $true,
    inference(fool_elimination,[],[f288]) ).

thf(f288,plain,
    ~ hoasinduction_lem3v2_f_lthm,
    inference(rectify,[],[f115]) ).

thf(f115,negated_conjecture,
    ~ hoasinduction_lem3v2_f_lthm,
    inference(negated_conjecture,[],[f114]) ).

thf(f114,conjecture,
    hoasinduction_lem3v2_f_lthm,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : ALG268^4 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 23:11:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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
% 0.15/0.40  % (12492)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40  % (12486)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40  % (12488)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)
% 0.15/0.40  % (12490)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)
% 0.15/0.40  % (12487)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)
% 0.15/0.40  % (12490)Instruction limit reached!
% 0.15/0.40  % (12490)------------------------------
% 0.15/0.40  % (12490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (12490)Termination reason: Unknown
% 0.15/0.40  % (12490)Termination phase: shuffling
% 0.15/0.40  
% 0.15/0.40  % (12490)Memory used [KB]: 1279
% 0.15/0.40  % (12490)Time elapsed: 0.003 s
% 0.15/0.40  % (12490)Instructions burned: 3 (million)
% 0.15/0.40  % (12490)------------------------------
% 0.15/0.40  % (12490)------------------------------
% 0.15/0.40  % (12493)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)
% 0.15/0.40  % (12489)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40  % (12491)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)
% 0.15/0.40  % (12487)Instruction limit reached!
% 0.15/0.40  % (12487)------------------------------
% 0.15/0.40  % (12487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (12487)Termination reason: Unknown
% 0.15/0.40  % (12487)Termination phase: shuffling
% 0.15/0.40  
% 0.15/0.40  % (12487)Memory used [KB]: 1279
% 0.15/0.40  % (12487)Time elapsed: 0.005 s
% 0.15/0.40  % (12487)Instructions burned: 5 (million)
% 0.15/0.40  % (12487)------------------------------
% 0.15/0.40  % (12487)------------------------------
% 0.15/0.40  % (12493)Instruction limit reached!
% 0.15/0.40  % (12493)------------------------------
% 0.15/0.40  % (12493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (12493)Termination reason: Unknown
% 0.15/0.40  % (12493)Termination phase: shuffling
% 0.15/0.40  
% 0.15/0.40  % (12493)Memory used [KB]: 1279
% 0.15/0.40  % (12493)Time elapsed: 0.004 s
% 0.15/0.40  % (12493)Instructions burned: 3 (million)
% 0.15/0.40  % (12493)------------------------------
% 0.15/0.40  % (12493)------------------------------
% 0.15/0.40  % (12489)Instruction limit reached!
% 0.15/0.40  % (12489)------------------------------
% 0.15/0.40  % (12489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (12489)Termination reason: Unknown
% 0.15/0.40  % (12489)Termination phase: shuffling
% 0.15/0.40  
% 0.15/0.40  % (12489)Memory used [KB]: 1279
% 0.15/0.40  % (12489)Time elapsed: 0.004 s
% 0.15/0.40  % (12489)Instructions burned: 2 (million)
% 0.15/0.40  % (12489)------------------------------
% 0.15/0.40  % (12489)------------------------------
% 0.15/0.41  % (12492)Instruction limit reached!
% 0.15/0.41  % (12492)------------------------------
% 0.15/0.41  % (12492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (12492)Termination reason: Unknown
% 0.15/0.41  % (12492)Termination phase: Property scanning
% 0.15/0.41  
% 0.15/0.41  % (12492)Memory used [KB]: 1663
% 0.15/0.41  % (12492)Time elapsed: 0.012 s
% 0.15/0.41  % (12492)Instructions burned: 18 (million)
% 0.15/0.41  % (12492)------------------------------
% 0.15/0.41  % (12492)------------------------------
% 0.15/0.41  % (12488)Instruction limit reached!
% 0.15/0.41  % (12488)------------------------------
% 0.15/0.41  % (12488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (12488)Termination reason: Unknown
% 0.15/0.41  % (12488)Termination phase: Property scanning
% 0.15/0.41  
% 0.15/0.41  % (12488)Memory used [KB]: 1791
% 0.15/0.41  % (12488)Time elapsed: 0.017 s
% 0.15/0.41  % (12488)Instructions burned: 27 (million)
% 0.15/0.41  % (12488)------------------------------
% 0.15/0.41  % (12488)------------------------------
% 0.15/0.42  % (12494)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)
% 0.15/0.42  % (12491)Refutation not found, incomplete strategy
% 0.15/0.42  % (12491)------------------------------
% 0.15/0.42  % (12491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42  % (12491)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.42  
% 0.15/0.42  
% 0.15/0.42  % (12491)Memory used [KB]: 6140
% 0.15/0.42  % (12491)Time elapsed: 0.018 s
% 0.15/0.42  % (12491)Instructions burned: 26 (million)
% 0.15/0.42  % (12491)------------------------------
% 0.15/0.42  % (12491)------------------------------
% 0.15/0.42  % (12496)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)
% 0.15/0.42  % (12495)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)
% 0.15/0.42  % (12497)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)
% 0.15/0.42  % (12498)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.42  % (12496)Instruction limit reached!
% 0.15/0.42  % (12496)------------------------------
% 0.15/0.42  % (12496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42  % (12496)Termination reason: Unknown
% 0.15/0.42  % (12496)Termination phase: shuffling
% 0.15/0.42  
% 0.15/0.42  % (12496)Memory used [KB]: 1279
% 0.15/0.42  % (12496)Time elapsed: 0.003 s
% 0.15/0.42  % (12496)Instructions burned: 3 (million)
% 0.15/0.42  % (12496)------------------------------
% 0.15/0.42  % (12496)------------------------------
% 0.22/0.42  % (12498)Instruction limit reached!
% 0.22/0.42  % (12498)------------------------------
% 0.22/0.42  % (12498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (12498)Termination reason: Unknown
% 0.22/0.42  % (12498)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (12498)Memory used [KB]: 1407
% 0.22/0.42  % (12498)Time elapsed: 0.005 s
% 0.22/0.42  % (12498)Instructions burned: 7 (million)
% 0.22/0.42  % (12498)------------------------------
% 0.22/0.42  % (12498)------------------------------
% 0.22/0.43  % (12495)Instruction limit reached!
% 0.22/0.43  % (12495)------------------------------
% 0.22/0.43  % (12495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (12495)Termination reason: Unknown
% 0.22/0.43  % (12495)Termination phase: Property scanning
% 0.22/0.43  
% 0.22/0.43  % (12495)Memory used [KB]: 1663
% 0.22/0.43  % (12495)Time elapsed: 0.011 s
% 0.22/0.43  % (12495)Instructions burned: 16 (million)
% 0.22/0.43  % (12495)------------------------------
% 0.22/0.43  % (12495)------------------------------
% 0.22/0.44  % (12500)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)
% 0.22/0.44  % (12494)Instruction limit reached!
% 0.22/0.44  % (12494)------------------------------
% 0.22/0.44  % (12494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (12494)Termination reason: Unknown
% 0.22/0.44  % (12494)Termination phase: Property scanning
% 0.22/0.44  
% 0.22/0.44  % (12494)Memory used [KB]: 1791
% 0.22/0.44  % (12494)Time elapsed: 0.020 s
% 0.22/0.44  % (12494)Instructions burned: 38 (million)
% 0.22/0.44  % (12494)------------------------------
% 0.22/0.44  % (12494)------------------------------
% 0.22/0.44  % (12486)First to succeed.
% 0.22/0.44  % (12499)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44  % (12500)Instruction limit reached!
% 0.22/0.44  % (12500)------------------------------
% 0.22/0.44  % (12500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (12500)Termination reason: Unknown
% 0.22/0.44  % (12500)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (12500)Memory used [KB]: 1279
% 0.22/0.44  % (12500)Time elapsed: 0.004 s
% 0.22/0.44  % (12500)Instructions burned: 3 (million)
% 0.22/0.44  % (12500)------------------------------
% 0.22/0.44  % (12500)------------------------------
% 0.22/0.44  % (12486)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Theorem for theBenchmark
% 0.22/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44  % (12486)------------------------------
% 0.22/0.44  % (12486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (12486)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (12486)Memory used [KB]: 6524
% 0.22/0.44  % (12486)Time elapsed: 0.043 s
% 0.22/0.44  % (12486)Instructions burned: 86 (million)
% 0.22/0.44  % (12486)------------------------------
% 0.22/0.44  % (12486)------------------------------
% 0.22/0.44  % (12485)Success in time 0.063 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------