TSTP Solution File: NUM686^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM686^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 : Sun May  5 08:14:20 EDT 2024

% Result   : Theorem 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   52 (  15 unt;  10 typ;   0 def)
%            Number of atoms       :  239 (  54 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  385 (  34   ~;  21   |;   0   &; 321   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :   95 (  42   ^  52   !;   0   ?;  95   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_1,type,
    x: nat ).

thf(func_def_2,type,
    y: nat ).

thf(func_def_3,type,
    z: nat ).

thf(func_def_4,type,
    u: nat ).

thf(func_def_5,type,
    some: ( nat > $o ) > $o ).

thf(func_def_6,type,
    diffprop: nat > nat > nat > $o ).

thf(func_def_8,type,
    pl: nat > nat > nat ).

thf(func_def_14,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f86,f33]) ).

thf(f33,plain,
    ( ( some @ ( diffprop @ x @ y ) )
    = $true ),
    inference(beta_eta_normalization,[],[f28]) ).

thf(f28,plain,
    ( ( some
      @ ^ [Y0: nat] : ( diffprop @ x @ y @ Y0 ) )
    = $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( ( some
      @ ^ [Y0: nat] : ( diffprop @ x @ y @ Y0 ) )
    = $true ),
    inference(fool_elimination,[],[f11]) ).

thf(f11,plain,
    ( some
    @ ^ [X0: nat] : ( diffprop @ x @ y @ X0 ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( some
    @ ^ [X0: nat] : ( diffprop @ x @ y @ X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.dD0LM017sw/Vampire---4.8_25503',m) ).

thf(f86,plain,
    ( ( some @ ( diffprop @ x @ y ) )
   != $true ),
    inference(subsumption_resolution,[],[f84,f30]) ).

thf(f30,plain,
    ( $true
    = ( some @ ( diffprop @ z @ u ) ) ),
    inference(beta_eta_normalization,[],[f29]) ).

thf(f29,plain,
    ( ( some
      @ ^ [Y0: nat] : ( diffprop @ z @ u @ Y0 ) )
    = $true ),
    inference(cnf_transformation,[],[f18]) ).

thf(f18,plain,
    ( ( some
      @ ^ [Y0: nat] : ( diffprop @ z @ u @ Y0 ) )
    = $true ),
    inference(fool_elimination,[],[f17]) ).

thf(f17,plain,
    ( some
    @ ^ [X0: nat] : ( diffprop @ z @ u @ X0 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ( some
    @ ^ [X1: nat] : ( diffprop @ z @ u @ X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.dD0LM017sw/Vampire---4.8_25503',n) ).

thf(f84,plain,
    ( ( $true
     != ( some @ ( diffprop @ z @ u ) ) )
    | ( ( some @ ( diffprop @ x @ y ) )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f80]) ).

thf(f80,plain,
    ( ( $true != $true )
    | ( $true
     != ( some @ ( diffprop @ z @ u ) ) )
    | ( ( some @ ( diffprop @ x @ y ) )
     != $true ) ),
    inference(superposition,[],[f50,f35]) ).

thf(f35,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( $true
        = ( some @ ( diffprop @ ( pl @ X2 @ X1 ) @ ( pl @ X1 @ X0 ) ) ) )
      | ( $true
       != ( some @ ( diffprop @ X2 @ X0 ) ) ) ),
    inference(superposition,[],[f31,f24]) ).

thf(f24,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X0 @ X1 )
      = ( pl @ X1 @ X0 ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f20,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X0 @ X1 )
      = ( pl @ X1 @ X0 ) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ! [X2: nat,X3: nat] :
      ( ( pl @ X2 @ X3 )
      = ( pl @ X3 @ X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.dD0LM017sw/Vampire---4.8_25503',satz6) ).

thf(f31,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( ( some @ ( diffprop @ ( pl @ X1 @ X0 ) @ ( pl @ X2 @ X0 ) ) )
        = $true )
      | ( ( some @ ( diffprop @ X1 @ X2 ) )
       != $true ) ),
    inference(beta_eta_normalization,[],[f26]) ).

thf(f26,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( ( some
          @ ^ [Y0: nat] : ( diffprop @ ( pl @ X1 @ X0 ) @ ( pl @ X2 @ X0 ) @ Y0 ) )
        = $true )
      | ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f23,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ( some
          @ ^ [Y0: nat] : ( diffprop @ ( pl @ X1 @ X0 ) @ ( pl @ X2 @ X0 ) @ Y0 ) )
        = $true )
      | ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) ) ) ),
    inference(ennf_transformation,[],[f16]) ).

thf(f16,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( $true
        = ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) ) )
     => ( ( some
          @ ^ [Y0: nat] : ( diffprop @ ( pl @ X1 @ X0 ) @ ( pl @ X2 @ X0 ) @ Y0 ) )
        = $true ) ),
    inference(fool_elimination,[],[f15]) ).

thf(f15,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( some
        @ ^ [X3: nat] : ( diffprop @ X1 @ X2 @ X3 ) )
     => ( some
        @ ^ [X4: nat] : ( diffprop @ ( pl @ X1 @ X0 ) @ ( pl @ X2 @ X0 ) @ X4 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X4: nat,X2: nat,X3: nat] :
      ( ( some
        @ ^ [X0: nat] : ( diffprop @ X2 @ X3 @ X0 ) )
     => ( some
        @ ^ [X0: nat] : ( diffprop @ ( pl @ X2 @ X4 ) @ ( pl @ X3 @ X4 ) @ X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.dD0LM017sw/Vampire---4.8_25503',satz19a) ).

thf(f50,plain,
    ! [X0: nat] :
      ( ( ( some @ ( diffprop @ ( pl @ z @ X0 ) @ ( pl @ y @ u ) ) )
       != $true )
      | ( $true
       != ( some @ ( diffprop @ x @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f49]) ).

thf(f49,plain,
    ! [X0: nat] :
      ( ( ( some @ ( diffprop @ ( pl @ z @ X0 ) @ ( pl @ y @ u ) ) )
       != $true )
      | ( $true
       != ( some @ ( diffprop @ x @ X0 ) ) )
      | ( $true != $true ) ),
    inference(superposition,[],[f40,f35]) ).

thf(f40,plain,
    ! [X0: nat] :
      ( ( $true
       != ( some @ ( diffprop @ ( pl @ x @ z ) @ X0 ) ) )
      | ( $true
       != ( some @ ( diffprop @ X0 @ ( pl @ y @ u ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f39]) ).

thf(f39,plain,
    ! [X0: nat] :
      ( ( $true != $true )
      | ( $true
       != ( some @ ( diffprop @ X0 @ ( pl @ y @ u ) ) ) )
      | ( $true
       != ( some @ ( diffprop @ ( pl @ x @ z ) @ X0 ) ) ) ),
    inference(superposition,[],[f34,f32]) ).

thf(f32,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( $true
        = ( some @ ( diffprop @ X1 @ X0 ) ) )
      | ( $true
       != ( some @ ( diffprop @ X2 @ X0 ) ) )
      | ( ( some @ ( diffprop @ X1 @ X2 ) )
       != $true ) ),
    inference(beta_eta_normalization,[],[f27]) ).

thf(f27,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) ) )
      | ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X2 @ X0 @ Y0 ) ) )
      | ( ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f22,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) ) )
      | ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X2 @ X0 @ Y0 ) ) )
      | ( ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
        = $true ) ),
    inference(flattening,[],[f21]) ).

thf(f21,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
        = $true )
      | ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) ) )
      | ( $true
       != ( some
          @ ^ [Y0: nat] : ( diffprop @ X2 @ X0 @ Y0 ) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

thf(f10,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( $true
        = ( some
          @ ^ [Y0: nat] : ( diffprop @ X2 @ X0 @ Y0 ) ) )
     => ( ( $true
          = ( some
            @ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) ) )
       => ( ( some
            @ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
          = $true ) ) ),
    inference(fool_elimination,[],[f9]) ).

thf(f9,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( some
        @ ^ [X3: nat] : ( diffprop @ X2 @ X0 @ X3 ) )
     => ( ( some
          @ ^ [X4: nat] : ( diffprop @ X1 @ X2 @ X4 ) )
       => ( some
          @ ^ [X5: nat] : ( diffprop @ X1 @ X0 @ X5 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ! [X2: nat,X4: nat,X3: nat] :
      ( ( some
        @ ^ [X5: nat] : ( diffprop @ X3 @ X2 @ X5 ) )
     => ( ( some
          @ ^ [X5: nat] : ( diffprop @ X4 @ X3 @ X5 ) )
       => ( some
          @ ^ [X5: nat] : ( diffprop @ X4 @ X2 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.dD0LM017sw/Vampire---4.8_25503',satz15) ).

thf(f34,plain,
    ( $true
   != ( some @ ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) ) ),
    inference(beta_eta_normalization,[],[f25]) ).

thf(f25,plain,
    ( ( some
      @ ^ [Y0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Y0 ) )
   != $true ),
    inference(cnf_transformation,[],[f19]) ).

thf(f19,plain,
    ( ( some
      @ ^ [Y0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Y0 ) )
   != $true ),
    inference(flattening,[],[f14]) ).

thf(f14,plain,
    ( ( some
      @ ^ [Y0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Y0 ) )
   != $true ),
    inference(fool_elimination,[],[f13]) ).

thf(f13,plain,
    ~ ( some
      @ ^ [X0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ X0 ) ),
    inference(rectify,[],[f7]) ).

thf(f7,negated_conjecture,
    ~ ( some
      @ ^ [X1: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ X1 ) ),
    inference(negated_conjecture,[],[f6]) ).

thf(f6,conjecture,
    ( some
    @ ^ [X1: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.dD0LM017sw/Vampire---4.8_25503',satz21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM686^1 : TPTP v8.1.2. Released v3.7.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:52:38 EDT 2024
% 0.21/0.35  % CPUTime    : 
% 0.21/0.35  This is a TH0_THM_EQU_NAR problem
% 0.21/0.36  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/sandbox/tmp/tmp.dD0LM017sw/Vampire---4.8_25503
% 0.21/0.37  % (25751)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.38  % (25747)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 Vampire---4 for (2999ds/4Mi)
% 0.21/0.38  % (25748)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 Vampire---4 for (2999ds/27Mi)
% 0.21/0.38  % (25746)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.38  % (25749)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38  % (25750)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38  % (25752)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.38  % (25753)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.38  % (25749)Instruction limit reached!
% 0.21/0.38  % (25749)------------------------------
% 0.21/0.38  % (25749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (25749)Termination reason: Unknown
% 0.21/0.38  % (25749)Termination phase: Property scanning
% 0.21/0.38  % (25750)Instruction limit reached!
% 0.21/0.38  % (25750)------------------------------
% 0.21/0.38  % (25750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  
% 0.21/0.38  % (25749)Memory used [KB]: 895
% 0.21/0.38  % (25749)Time elapsed: 0.003 s
% 0.21/0.38  % (25749)Instructions burned: 2 (million)
% 0.21/0.38  % (25749)------------------------------
% 0.21/0.38  % (25749)------------------------------
% 0.21/0.38  % (25750)Termination reason: Unknown
% 0.21/0.38  % (25750)Termination phase: Property scanning
% 0.21/0.38  
% 0.21/0.38  % (25750)Memory used [KB]: 895
% 0.21/0.38  % (25750)Time elapsed: 0.003 s
% 0.21/0.38  % (25750)Instructions burned: 2 (million)
% 0.21/0.38  % (25750)------------------------------
% 0.21/0.38  % (25750)------------------------------
% 0.21/0.38  % (25753)Instruction limit reached!
% 0.21/0.38  % (25753)------------------------------
% 0.21/0.38  % (25753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (25753)Termination reason: Unknown
% 0.21/0.38  % (25753)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (25753)Memory used [KB]: 5500
% 0.21/0.38  % (25753)Time elapsed: 0.004 s
% 0.21/0.38  % (25753)Instructions burned: 3 (million)
% 0.21/0.38  % (25753)------------------------------
% 0.21/0.38  % (25753)------------------------------
% 0.21/0.38  % (25747)Instruction limit reached!
% 0.21/0.38  % (25747)------------------------------
% 0.21/0.38  % (25747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (25747)Termination reason: Unknown
% 0.21/0.38  % (25747)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (25747)Memory used [KB]: 5500
% 0.21/0.38  % (25747)Time elapsed: 0.005 s
% 0.21/0.38  % (25747)Instructions burned: 4 (million)
% 0.21/0.38  % (25747)------------------------------
% 0.21/0.38  % (25747)------------------------------
% 0.21/0.39  % (25752)Instruction limit reached!
% 0.21/0.39  % (25752)------------------------------
% 0.21/0.39  % (25752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (25752)Termination reason: Unknown
% 0.21/0.39  % (25752)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (25752)Memory used [KB]: 5628
% 0.21/0.39  % (25752)Time elapsed: 0.015 s
% 0.21/0.39  % (25752)Instructions burned: 19 (million)
% 0.21/0.39  % (25752)------------------------------
% 0.21/0.39  % (25752)------------------------------
% 0.21/0.39  % (25754)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 Vampire---4 for (2999ds/37Mi)
% 0.21/0.39  % (25755)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 Vampire---4 for (2999ds/15Mi)
% 0.21/0.39  % (25756)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.39  % (25757)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 Vampire---4 for (2999ds/1041Mi)
% 0.21/0.39  % (25748)Instruction limit reached!
% 0.21/0.39  % (25748)------------------------------
% 0.21/0.39  % (25748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (25748)Termination reason: Unknown
% 0.21/0.39  % (25748)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (25748)Memory used [KB]: 5628
% 0.21/0.39  % (25748)Time elapsed: 0.020 s
% 0.21/0.39  % (25748)Instructions burned: 28 (million)
% 0.21/0.39  % (25748)------------------------------
% 0.21/0.39  % (25748)------------------------------
% 0.21/0.39  % (25756)Instruction limit reached!
% 0.21/0.39  % (25756)------------------------------
% 0.21/0.39  % (25756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (25756)Termination reason: Unknown
% 0.21/0.39  % (25756)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (25756)Memory used [KB]: 5500
% 0.21/0.39  % (25756)Time elapsed: 0.004 s
% 0.21/0.39  % (25756)Instructions burned: 3 (million)
% 0.21/0.39  % (25756)------------------------------
% 0.21/0.39  % (25756)------------------------------
% 0.21/0.40  % (25755)Instruction limit reached!
% 0.21/0.40  % (25755)------------------------------
% 0.21/0.40  % (25755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (25755)Termination reason: Unknown
% 0.21/0.40  % (25755)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (25755)Memory used [KB]: 5628
% 0.21/0.40  % (25755)Time elapsed: 0.012 s
% 0.21/0.40  % (25755)Instructions burned: 15 (million)
% 0.21/0.40  % (25755)------------------------------
% 0.21/0.40  % (25755)------------------------------
% 0.21/0.40  % (25758)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.41  % (25759)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.41  % (25758)Instruction limit reached!
% 0.21/0.41  % (25758)------------------------------
% 0.21/0.41  % (25758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (25758)Termination reason: Unknown
% 0.21/0.41  % (25758)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (25758)Memory used [KB]: 1023
% 0.21/0.41  % (25758)Time elapsed: 0.007 s
% 0.21/0.41  % (25758)Instructions burned: 7 (million)
% 0.21/0.41  % (25758)------------------------------
% 0.21/0.41  % (25758)------------------------------
% 0.21/0.41  % (25760)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.41  % (25760)Instruction limit reached!
% 0.21/0.41  % (25760)------------------------------
% 0.21/0.41  % (25760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (25760)Termination reason: Unknown
% 0.21/0.41  % (25760)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (25760)Memory used [KB]: 5500
% 0.21/0.41  % (25760)Time elapsed: 0.004 s
% 0.21/0.41  % (25760)Instructions burned: 3 (million)
% 0.21/0.41  % (25760)------------------------------
% 0.21/0.41  % (25760)------------------------------
% 0.21/0.41  % (25754)Instruction limit reached!
% 0.21/0.41  % (25754)------------------------------
% 0.21/0.41  % (25754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (25754)Termination reason: Unknown
% 0.21/0.41  % (25754)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (25754)Memory used [KB]: 5756
% 0.21/0.41  % (25754)Time elapsed: 0.047 s
% 0.21/0.41  % (25754)Instructions burned: 37 (million)
% 0.21/0.41  % (25754)------------------------------
% 0.21/0.41  % (25754)------------------------------
% 0.21/0.42  % (25761)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.42  % (25761)Instruction limit reached!
% 0.21/0.42  % (25761)------------------------------
% 0.21/0.42  % (25761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (25761)Termination reason: Unknown
% 0.21/0.42  % (25761)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (25761)Memory used [KB]: 1023
% 0.21/0.42  % (25761)Time elapsed: 0.004 s
% 0.21/0.42  % (25761)Instructions burned: 3 (million)
% 0.21/0.42  % (25761)------------------------------
% 0.21/0.42  % (25761)------------------------------
% 0.21/0.42  % (25759)Instruction limit reached!
% 0.21/0.42  % (25759)------------------------------
% 0.21/0.42  % (25759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (25759)Termination reason: Unknown
% 0.21/0.42  % (25759)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (25759)Memory used [KB]: 5628
% 0.21/0.42  % (25759)Time elapsed: 0.013 s
% 0.21/0.42  % (25759)Instructions burned: 16 (million)
% 0.21/0.42  % (25759)------------------------------
% 0.21/0.42  % (25759)------------------------------
% 0.21/0.42  % (25762)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.43  % (25763)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.43  % (25762)Refutation not found, incomplete strategy
% 0.21/0.43  % (25762)------------------------------
% 0.21/0.43  % (25762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (25762)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43  
% 0.21/0.43  
% 0.21/0.43  % (25762)Memory used [KB]: 5500
% 0.21/0.43  % (25762)Time elapsed: 0.005 s
% 0.21/0.43  % (25762)Instructions burned: 3 (million)
% 0.21/0.43  % (25762)------------------------------
% 0.21/0.43  % (25762)------------------------------
% 0.21/0.43  % (25763)Instruction limit reached!
% 0.21/0.43  % (25763)------------------------------
% 0.21/0.43  % (25763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (25763)Termination reason: Unknown
% 0.21/0.43  % (25763)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (25763)Memory used [KB]: 5500
% 0.21/0.43  % (25763)Time elapsed: 0.004 s
% 0.21/0.43  % (25763)Instructions burned: 3 (million)
% 0.21/0.43  % (25763)------------------------------
% 0.21/0.43  % (25763)------------------------------
% 0.21/0.43  % (25764)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.43  % (25765)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.43  % (25764)Instruction limit reached!
% 0.21/0.43  % (25764)------------------------------
% 0.21/0.43  % (25764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (25764)Termination reason: Unknown
% 0.21/0.43  % (25764)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (25764)Memory used [KB]: 5500
% 0.21/0.43  % (25764)Time elapsed: 0.005 s
% 0.21/0.43  % (25764)Instructions burned: 5 (million)
% 0.21/0.43  % (25764)------------------------------
% 0.21/0.43  % (25764)------------------------------
% 0.21/0.44  % (25766)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.44  % (25767)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.44  % (25765)First to succeed.
% 0.21/0.44  % (25769)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 Vampire---4 for (2999ds/902Mi)
% 0.21/0.45  % (25765)Refutation found. Thanks to Tanya!
% 0.21/0.45  % SZS status Theorem for Vampire---4
% 0.21/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45  % (25765)------------------------------
% 0.21/0.45  % (25765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (25765)Termination reason: Refutation
% 0.21/0.45  
% 0.21/0.45  % (25765)Memory used [KB]: 5628
% 0.21/0.45  % (25765)Time elapsed: 0.013 s
% 0.21/0.45  % (25765)Instructions burned: 15 (million)
% 0.21/0.45  % (25765)------------------------------
% 0.21/0.45  % (25765)------------------------------
% 0.21/0.45  % (25745)Success in time 0.086 s
% 0.21/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------