TSTP Solution File: SYO885^1.033.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO885^1.033.003 : TPTP v8.2.0. Released v7.5.0.
% 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 : 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 : Tue May 21 09:09:19 EDT 2024

% Result   : Theorem 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   1 unt;   2 typ;   0 def)
%            Number of atoms       :  221 (  30 equ;   0 cnn)
%            Maximal formula atoms :    4 (  20 avg)
%            Number of connectives :  255 (  25   ~;  16   |;   4   &; 210   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   35 (  24   ^   8   !;   2   ?;  35   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_3,type,
    f: $i > $i > $i > $i ).

thf(func_def_8,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f18,plain,
    $false,
    inference(trivial_inequality_removal,[],[f17]) ).

thf(f17,plain,
    ( ( ( f @ a0 @ a1 @ a2 )
     != ( f @ a0 @ a1 @ a2 ) )
    | ( a1 != a1 ) ),
    inference(beta_eta_normalization,[],[f15]) ).

thf(f15,plain,
    ( ( ( f @ a0 @ a1 @ a2 )
     != ( f @ a0
        @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a1
          @ a0
          @ a1
          @ a2 )
        @ a2 ) )
    | ( a1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a1
        @ a2
        @ a1
        @ a0 ) ) ),
    inference(equality_resolution,[],[f12]) ).

thf(f12,plain,
    ! [X1: $i > $i > $i > $i] :
      ( ( ( f @ a0 @ a1 @ a2 )
       != ( f @ a0 @ ( X1 @ a0 @ a2 @ a1 ) @ a2 ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( f @ a0 @ ( X1 @ a0 @ a1 @ a2 ) @ a2 ) )
      | ( a1
       != ( X1 @ a2 @ a1 @ a0 ) ) ),
    inference(beta_eta_normalization,[],[f11]) ).

thf(f11,plain,
    ! [X1: $i > $i > $i > $i] :
      ( ( a1
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( f @ a0 @ ( X1 @ a0 @ a2 @ a1 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
            @ a0
            @ a2
            @ a1 ) ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( f @ a0 @ ( X1 @ a0 @ a1 @ a2 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
            @ a0
            @ a1
            @ a2 ) ) ) ),
    inference(equality_resolution,[],[f8]) ).

thf(f8,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i] :
      ( ( a2
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( f @ a0 @ ( X3 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( f @ a0 @ ( X3 @ a0 @ a2 @ a1 ) @ ( X2 @ a0 @ a2 @ a1 ) ) )
      | ( a1
       != ( X3 @ a2 @ a1 @ a0 ) ) ),
    inference(beta_eta_normalization,[],[f7]) ).

thf(f7,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i] :
      ( ( ( f @ a0 @ a1 @ a2 )
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] :
              ( f
              @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a0
                @ Y0
                @ Y1
                @ Y2 )
              @ ( X3 @ Y0 @ Y1 @ Y2 )
              @ ( X2 @ Y0 @ Y1 @ Y2 ) )
          @ a0
          @ a2
          @ a1 ) )
      | ( a2
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] :
              ( f
              @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : a0
                @ Y0
                @ Y1
                @ Y2 )
              @ ( X3 @ Y0 @ Y1 @ Y2 )
              @ ( X2 @ Y0 @ Y1 @ Y2 ) )
          @ a0
          @ a1
          @ a2 ) ) ),
    inference(equality_resolution,[],[f5]) ).

thf(f5,plain,
    ! [X0: $i > $i > $i > $i] :
      ( ( ( f @ a0 @ a1 @ a2 )
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( ( X0 @ a0 @ a1 @ a2 )
       != ( f @ a0 @ a1 @ a2 ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( X0 @ a0 @ a2 @ a1 ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f4,plain,
    ! [X0: $i > $i > $i > $i] :
      ( ( ( X0 @ a0 @ a1 @ a2 )
       != ( f @ a0 @ a1 @ a2 ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( ( f @ a0 @ a1 @ a2 )
       != ( X0 @ a0 @ a2 @ a1 ) ) ),
    inference(ennf_transformation,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ? [X0: $i > $i > $i > $i] :
        ( ( ( f @ a0 @ a1 @ a2 )
          = ( X0 @ a2 @ a1 @ a0 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ a0 @ a1 @ a2 ) )
        & ( ( f @ a0 @ a1 @ a2 )
          = ( X0 @ a0 @ a2 @ a1 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ? [X0: $i > $i > $i > $i] :
      ( ( ( f @ a0 @ a1 @ a2 )
        = ( X0 @ a2 @ a1 @ a0 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ a0 @ a1 @ a2 ) )
      & ( ( f @ a0 @ a1 @ a2 )
        = ( X0 @ a0 @ a2 @ a1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYO885^1.033.003 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.15  % 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
% 0.16/0.36  % Computer : n017.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon May 20 10:17:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TH0_THM_EQU_NAR problem
% 0.16/0.36  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/benchmark/theBenchmark.p
% 0.16/0.38  % (7359)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 (3000ds/4Mi)
% 0.16/0.38  % (7358)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.16/0.38  % (7360)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 (3000ds/27Mi)
% 0.16/0.38  % (7361)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.38  % (7362)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 (3000ds/2Mi)
% 0.16/0.38  % (7363)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 (3000ds/275Mi)
% 0.16/0.38  % (7365)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.16/0.38  % (7362)Instruction limit reached!
% 0.16/0.38  % (7362)------------------------------
% 0.16/0.38  % (7362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (7362)Termination reason: Unknown
% 0.16/0.38  % (7362)Termination phase: Saturation
% 0.16/0.38  
% 0.16/0.38  % (7362)Memory used [KB]: 895
% 0.16/0.38  % (7362)Time elapsed: 0.003 s
% 0.16/0.38  % (7362)Instructions burned: 2 (million)
% 0.16/0.38  % (7362)------------------------------
% 0.16/0.38  % (7362)------------------------------
% 0.16/0.38  % (7363)Refutation not found, incomplete strategy
% 0.16/0.38  % (7363)------------------------------
% 0.16/0.38  % (7363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (7363)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (7363)Memory used [KB]: 5373
% 0.16/0.38  % (7363)Time elapsed: 0.003 s
% 0.16/0.38  % (7363)Instructions burned: 1 (million)
% 0.16/0.38  % (7363)------------------------------
% 0.16/0.38  % (7363)------------------------------
% 0.16/0.38  % (7361)Refutation not found, incomplete strategy
% 0.16/0.38  % (7361)------------------------------
% 0.16/0.38  % (7361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (7361)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (7361)Memory used [KB]: 5373
% 0.16/0.38  % (7361)Time elapsed: 0.003 s
% 0.16/0.38  % (7361)Instructions burned: 1 (million)
% 0.16/0.38  % (7361)------------------------------
% 0.16/0.38  % (7361)------------------------------
% 0.16/0.38  % (7360)Refutation not found, incomplete strategy
% 0.16/0.38  % (7360)------------------------------
% 0.16/0.38  % (7360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (7360)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (7360)Memory used [KB]: 5500
% 0.16/0.38  % (7360)Time elapsed: 0.003 s
% 0.16/0.38  % (7360)Instructions burned: 1 (million)
% 0.16/0.38  % (7360)------------------------------
% 0.16/0.38  % (7360)------------------------------
% 0.16/0.39  % (7359)Instruction limit reached!
% 0.16/0.39  % (7359)------------------------------
% 0.16/0.39  % (7359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (7359)Termination reason: Unknown
% 0.16/0.39  % (7359)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (7359)Memory used [KB]: 5500
% 0.16/0.39  % (7359)Time elapsed: 0.005 s
% 0.16/0.39  % (7359)Instructions burned: 4 (million)
% 0.16/0.39  % (7359)------------------------------
% 0.16/0.39  % (7359)------------------------------
% 0.16/0.39  % (7365)Instruction limit reached!
% 0.16/0.39  % (7365)------------------------------
% 0.16/0.39  % (7365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (7365)Termination reason: Unknown
% 0.16/0.39  % (7365)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (7365)Memory used [KB]: 5500
% 0.16/0.39  % (7365)Time elapsed: 0.005 s
% 0.16/0.39  % (7365)Instructions burned: 4 (million)
% 0.16/0.39  % (7365)------------------------------
% 0.16/0.39  % (7365)------------------------------
% 0.16/0.39  % (7358)Refutation not found, incomplete strategy
% 0.16/0.39  % (7358)------------------------------
% 0.16/0.39  % (7358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (7358)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39  
% 0.16/0.39  
% 0.16/0.39  % (7358)Memory used [KB]: 5500
% 0.16/0.39  % (7358)Time elapsed: 0.005 s
% 0.16/0.39  % (7358)Instructions burned: 2 (million)
% 0.16/0.39  % (7358)------------------------------
% 0.16/0.39  % (7358)------------------------------
% 0.16/0.40  % (7364)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.16/0.40  % (7366)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)
% 0.16/0.40  % (7368)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)
% 0.16/0.40  % (7369)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)
% 0.16/0.40  % (7370)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.40  % (7371)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.40  % (7364)First to succeed.
% 0.16/0.40  % (7368)Instruction limit reached!
% 0.16/0.40  % (7368)------------------------------
% 0.16/0.40  % (7368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (7368)Termination reason: Unknown
% 0.16/0.40  % (7368)Termination phase: Saturation
% 0.16/0.40  
% 0.16/0.40  % (7368)Memory used [KB]: 5500
% 0.16/0.40  % (7368)Time elapsed: 0.004 s
% 0.16/0.40  % (7368)Instructions burned: 3 (million)
% 0.16/0.40  % (7368)------------------------------
% 0.16/0.40  % (7368)------------------------------
% 0.16/0.40  % (7367)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)
% 0.16/0.40  % (7366)Refutation not found, incomplete strategy
% 0.16/0.40  % (7366)------------------------------
% 0.16/0.40  % (7366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (7366)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40  
% 0.16/0.40  
% 0.16/0.40  % (7366)Memory used [KB]: 5500
% 0.16/0.40  % (7366)Time elapsed: 0.005 s
% 0.16/0.40  % (7366)Instructions burned: 5 (million)
% 0.16/0.40  % (7366)------------------------------
% 0.16/0.40  % (7366)------------------------------
% 0.16/0.40  % (7364)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Theorem for theBenchmark
% 0.16/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40  % (7364)------------------------------
% 0.16/0.40  % (7364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (7364)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (7364)Memory used [KB]: 5500
% 0.16/0.40  % (7364)Time elapsed: 0.031 s
% 0.16/0.40  % (7364)Instructions burned: 4 (million)
% 0.16/0.40  % (7364)------------------------------
% 0.16/0.40  % (7364)------------------------------
% 0.16/0.40  % (7357)Success in time 0.03 s
% 0.16/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------