TSTP Solution File: SEU614_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU614_8 : TPTP v8.2.0. Released v8.0.0.
% 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 : n004.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 03:49:59 EDT 2024

% Result   : Theorem 0.64s 0.82s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  198 (  19 equ)
%            Maximal formula atoms :    9 (   5 avg)
%            Number of connectives :  142 (  49   ~;  30   |;  21   &)
%                                         (   6 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   94 (  72 fml;  22 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  11 usr;  11 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   52 (  43   !;   9   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f87,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f48,f58,f82,f84,f86]) ).

tff(f86,plain,
    spl3_5,
    inference(avatar_contradiction_clause,[],[f85]) ).

tff(f85,plain,
    ( $false
    | spl3_5 ),
    inference(resolution,[],[f77,f26]) ).

tff(f26,plain,
    in(sK2,sK1),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ( in(sK2,symdiff(sK0,sK1))
    & in(sK2,sK1)
    & in(sK2,sK0)
    & symdiffE ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f13]) ).

tff(f13,plain,
    ( ? [X0,X1,X2] :
        ( in(X2,symdiff(X0,X1))
        & in(X2,X1)
        & in(X2,X0) )
   => ( in(sK2,symdiff(sK0,sK1))
      & in(sK2,sK1)
      & in(sK2,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f12,plain,
    ( ? [X0,X1,X2] :
        ( in(X2,symdiff(X0,X1))
        & in(X2,X1)
        & in(X2,X0) )
    & symdiffE ),
    inference(flattening,[],[f11]) ).

tff(f11,plain,
    ( ? [X0,X1,X2] :
        ( in(X2,symdiff(X0,X1))
        & in(X2,X1)
        & in(X2,X0) )
    & symdiffE ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ( symdiffE
     => ! [X0,X1,X2] :
          ( in(X2,X0)
         => ( in(X2,X1)
           => ~ in(X2,symdiff(X0,X1)) ) ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ( symdiffE
   => ! [X0,X1,X2] :
        ( in(X2,X0)
       => ( in(X2,X1)
         => ~ in(X2,symdiff(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symdiffIneg1) ).

tff(f77,plain,
    ( ~ in(sK2,sK1)
    | spl3_5 ),
    inference(avatar_component_clause,[],[f75]) ).

tff(f75,plain,
    ( spl3_5
  <=> in(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f84,plain,
    spl3_6,
    inference(avatar_contradiction_clause,[],[f83]) ).

tff(f83,plain,
    ( $false
    | spl3_6 ),
    inference(resolution,[],[f81,f25]) ).

tff(f25,plain,
    in(sK2,sK0),
    inference(cnf_transformation,[],[f14]) ).

tff(f81,plain,
    ( ~ in(sK2,sK0)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f79]) ).

tff(f79,plain,
    ( spl3_6
  <=> in(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

tff(f82,plain,
    ( ~ spl3_5
    | ~ spl3_6
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f73,f45,f79,f75]) ).

tff(f45,plain,
    ( spl3_4
  <=> ! [X2,X0,X1] :
        ( ~ in(X2,X0)
        | ~ in(X2,symdiff(X0,X1))
        | ~ in(X2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f73,plain,
    ( ~ in(sK2,sK0)
    | ~ in(sK2,sK1)
    | ~ spl3_4 ),
    inference(resolution,[],[f46,f27]) ).

tff(f27,plain,
    in(sK2,symdiff(sK0,sK1)),
    inference(cnf_transformation,[],[f14]) ).

tff(f46,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ~ in(X2,symdiff(X0,X1))
        | ~ in(X2,X0)
        | ~ in(X2,X1) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f45]) ).

tff(f58,plain,
    ~ spl3_3,
    inference(avatar_contradiction_clause,[],[f57]) ).

tff(f57,plain,
    ( $false
    | ~ spl3_3 ),
    inference(equality_resolution,[],[f50]) ).

tff(f50,plain,
    ( ! [X0: $o] : ( $false != (X0) )
    | ~ spl3_3 ),
    inference(superposition,[],[f4,f42]) ).

tff(f42,plain,
    ( ! [X3: $o] : ( $true = (X3) )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f41]) ).

tff(f41,plain,
    ( spl3_3
  <=> ! [X3: $o] : ( $true = (X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

tff(f4,plain,
    $true != $false,
    introduced(fool_axiom,[]) ).

tff(f48,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f24,f34]) ).

tff(f34,plain,
    ( spl3_1
  <=> symdiffE ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

tff(f24,plain,
    symdiffE,
    inference(cnf_transformation,[],[f14]) ).

tff(f47,plain,
    ( ~ spl3_1
    | spl3_4
    | spl3_3 ),
    inference(avatar_split_clause,[],[f16,f41,f45,f34]) ).

tff(f16,plain,
    ! [X2: $i,X3: $o,X0: $i,X1: $i] :
      ( ( $true = (X3) )
      | ~ in(X2,X0)
      | ~ in(X2,X1)
      | ~ in(X2,symdiff(X0,X1))
      | ~ symdiffE ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ( ! [X0,X1,X2] :
        ( ! [X3: $o] :
            ( ( $true = (X3) )
            | ( ( $true != (X3) )
              & in(X2,X1)
              & ~ in(X2,X0) )
            | ( ( $true != (X3) )
              & ~ in(X2,X1)
              & in(X2,X0) ) )
        | ~ in(X2,symdiff(X0,X1)) )
    | ~ symdiffE ),
    inference(flattening,[],[f9]) ).

tff(f9,plain,
    ( ! [X0,X1,X2] :
        ( ! [X3: $o] :
            ( ( $true = (X3) )
            | ( ( $true != (X3) )
              & in(X2,X1)
              & ~ in(X2,X0) )
            | ( ( $true != (X3) )
              & ~ in(X2,X1)
              & in(X2,X0) ) )
        | ~ in(X2,symdiff(X0,X1)) )
    | ~ symdiffE ),
    inference(ennf_transformation,[],[f8]) ).

tff(f8,plain,
    ( symdiffE
   => ! [X0,X1,X2] :
        ( in(X2,symdiff(X0,X1))
       => ! [X3: $o] :
            ( ( in(X2,X0)
             => ( ~ in(X2,X1)
               => ( $true = (X3) ) ) )
           => ( ( ~ in(X2,X0)
               => ( in(X2,X1)
                 => ( $true = (X3) ) ) )
             => ( $true = (X3) ) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

tff(f7,plain,
    ( symdiffE
  <=> ! [X0,X1,X2] :
        ( in(X2,symdiff(X0,X1))
       => ! [X3: $o] :
            ( ( in(X2,X0)
             => ( ~ in(X2,X1)
               => ( $true = (X3) ) ) )
           => ( ( ~ in(X2,X0)
               => ( in(X2,X1)
                 => ( $true = (X3) ) ) )
             => ( $true = (X3) ) ) ) ) ),
    inference(fool_elimination,[],[f6]) ).

tff(f6,plain,
    ( symdiffE
    = ( ! [X0,X1,X2] :
          ( in(X2,symdiff(X0,X1))
         => ! [X3: $o] :
              ( ( in(X2,X0)
               => ( ~ in(X2,X1)
                 => (X3) ) )
             => ( ( ~ in(X2,X0)
                 => ( in(X2,X1)
                   => (X3) ) )
               => (X3) ) ) ) ) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ( symdiffE
    = ( ! [X0,X1,X2] :
          ( in(X2,symdiff(X0,X1))
         => ! [X3: $o] :
              ( ( in(X2,X0)
               => ( ~ in(X2,X1)
                 => (X3) ) )
             => ( ( ~ in(X2,X0)
                 => ( in(X2,X1)
                   => (X3) ) )
               => (X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symdiffE) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU614_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14  % 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
% 0.15/0.36  % Computer : n004.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   : Sun May 19 18:13:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TX0_THM_EQU_NAR problem
% 0.15/0.36  Running 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 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/0.82  % (9636)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.64/0.82  % (9636)Refutation not found, incomplete strategy% (9636)------------------------------
% 0.64/0.82  % (9636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (9636)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (9636)Memory used [KB]: 951
% 0.64/0.82  % (9636)Time elapsed: 0.002 s
% 0.64/0.82  % (9636)Instructions burned: 2 (million)
% 0.64/0.82  % (9636)------------------------------
% 0.64/0.82  % (9636)------------------------------
% 0.64/0.82  % (9629)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.64/0.82  % (9631)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.64/0.82  % (9632)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.64/0.82  % (9630)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.64/0.82  % (9633)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.64/0.82  % (9635)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.64/0.82  % (9634)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.64/0.82  % (9635)Refutation not found, incomplete strategy% (9635)------------------------------
% 0.64/0.82  % (9635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (9635)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (9635)Memory used [KB]: 942
% 0.64/0.82  % (9635)Time elapsed: 0.002 s
% 0.64/0.82  % (9635)Instructions burned: 2 (million)
% 0.64/0.82  % (9635)------------------------------
% 0.64/0.82  % (9635)------------------------------
% 0.64/0.82  % (9633)Refutation not found, incomplete strategy% (9633)------------------------------
% 0.64/0.82  % (9633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (9633)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (9633)Memory used [KB]: 956
% 0.64/0.82  % (9633)Time elapsed: 0.003 s
% 0.64/0.82  % (9633)Instructions burned: 2 (million)
% 0.64/0.82  % (9634)Refutation not found, incomplete strategy% (9634)------------------------------
% 0.64/0.82  % (9634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (9634)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (9634)Memory used [KB]: 950
% 0.64/0.82  % (9634)Time elapsed: 0.003 s
% 0.64/0.82  % (9634)Instructions burned: 2 (million)
% 0.64/0.82  % (9632)Refutation not found, incomplete strategy% (9632)------------------------------
% 0.64/0.82  % (9632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (9633)------------------------------
% 0.64/0.82  % (9633)------------------------------
% 0.64/0.82  % (9629)Refutation not found, incomplete strategy% (9629)------------------------------
% 0.64/0.82  % (9629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (9632)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (9629)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  % (9632)Memory used [KB]: 971
% 0.64/0.82  
% 0.64/0.82  % (9632)Time elapsed: 0.003 s
% 0.64/0.82  % (9629)Memory used [KB]: 981
% 0.64/0.82  % (9629)Time elapsed: 0.003 s
% 0.64/0.82  % (9632)Instructions burned: 3 (million)
% 0.64/0.82  % (9629)Instructions burned: 3 (million)
% 0.64/0.82  % (9634)------------------------------
% 0.64/0.82  % (9634)------------------------------
% 0.64/0.82  % (9632)------------------------------
% 0.64/0.82  % (9632)------------------------------
% 0.64/0.82  % (9629)------------------------------
% 0.64/0.82  % (9629)------------------------------
% 0.64/0.82  % (9637)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.64/0.82  % (9631)Also succeeded, but the first one will report.
% 0.64/0.82  % (9630)First to succeed.
% 0.64/0.82  % (9630)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9628"
% 0.64/0.82  % (9637)Also succeeded, but the first one will report.
% 0.64/0.82  % (9630)Refutation found. Thanks to Tanya!
% 0.64/0.82  % SZS status Theorem for theBenchmark
% 0.64/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.82  % (9630)------------------------------
% 0.64/0.82  % (9630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (9630)Termination reason: Refutation
% 0.64/0.82  
% 0.64/0.82  % (9630)Memory used [KB]: 999
% 0.64/0.82  % (9630)Time elapsed: 0.005 s
% 0.64/0.82  % (9630)Instructions burned: 4 (million)
% 0.64/0.82  % (9628)Success in time 0.453 s
% 0.64/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------