TSTP Solution File: SWW678_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW678_1 : TPTP v8.2.0. Released v6.4.0.
% 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 : n003.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 07:02:15 EDT 2024

% Result   : Theorem 0.65s 0.84s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  171 (  14 unt;  20 typ;   0 def)
%            Number of atoms       :  514 ( 104 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  542 ( 179   ~; 261   |;  41   &)
%                                         (  23 <=>;  37  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  113 (  49 atm;   0 fun;   0 num;  64 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   26 (  16   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :   26 (  20 usr;  14 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  138 ( 128   !;  10   ?; 138   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Tree': $tType ).

tff(func_def_0,type,
    'empty:Tree': 'Tree' ).

tff(func_def_1,type,
    'left:(Tree)>Tree': 'Tree' > 'Tree' ).

tff(func_def_2,type,
    'val:(Tree)>Int': 'Tree' > $int ).

tff(func_def_3,type,
    'node:(Int*Tree*Tree)>Tree': ( $int * 'Tree' * 'Tree' ) > 'Tree' ).

tff(func_def_4,type,
    'right:(Tree)>Tree': 'Tree' > 'Tree' ).

tff(func_def_9,type,
    sK0: 'Tree' ).

tff(func_def_10,type,
    sK1: $int ).

tff(func_def_11,type,
    sK5: ( 'Tree' * $int ) > 'Tree' ).

tff(func_def_12,type,
    sK6: ( 'Tree' * $int ) > 'Tree' ).

tff(func_def_13,type,
    sK8: 'Tree' > $int ).

tff(func_def_14,type,
    sK9: 'Tree' > $int ).

tff(pred_def_1,type,
    searchtree: 'Tree' > $o ).

tff(pred_def_2,type,
    in: ( $int * 'Tree' ) > $o ).

tff(pred_def_6,type,
    sP2: ( $int * 'Tree' ) > $o ).

tff(pred_def_7,type,
    sP3: ( $int * 'Tree' ) > $o ).

tff(pred_def_8,type,
    sP4: ( $int * 'Tree' ) > $o ).

tff(pred_def_9,type,
    sP7: 'Tree' > $o ).

tff(pred_def_10,type,
    sP10: ( $int * 'Tree' ) > $o ).

tff(pred_def_11,type,
    sP11: ( 'Tree' * $int ) > $o ).

tff(f775,plain,
    $false,
    inference(avatar_sat_refutation,[],[f94,f99,f100,f452,f472,f486,f503,f540,f569,f571,f619,f624,f625,f631,f719,f722,f747,f753,f754,f772]) ).

tff(f772,plain,
    ( spl12_2
    | spl12_3
    | ~ spl12_5 ),
    inference(avatar_contradiction_clause,[],[f771]) ).

tff(f771,plain,
    ( $false
    | spl12_2
    | spl12_3
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f764,f92]) ).

tff(f92,plain,
    ( ~ in(sK1,sK0)
    | spl12_2 ),
    inference(avatar_component_clause,[],[f91]) ).

tff(f91,plain,
    ( spl12_2
  <=> in(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

tff(f764,plain,
    ( in(sK1,sK0)
    | spl12_3
    | ~ spl12_5 ),
    inference(superposition,[],[f512,f447]) ).

tff(f447,plain,
    ( ( sK1 = 'val:(Tree)>Int'(sK0) )
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f445]) ).

tff(f445,plain,
    ( spl12_5
  <=> ( sK1 = 'val:(Tree)>Int'(sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

tff(f512,plain,
    ( in('val:(Tree)>Int'(sK0),sK0)
    | spl12_3 ),
    inference(unit_resulting_resolution,[],[f84,f97,f74]) ).

tff(f74,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( ~ sP11(X1,X0)
      | ( 'empty:Tree' = X1 )
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f33,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( in(X0,X1)
    <=> ( ( in(X0,'right:(Tree)>Tree'(X1))
          | in(X0,'left:(Tree)>Tree'(X1))
          | ( 'val:(Tree)>Int'(X1) = X0 )
          | ( 'empty:Tree' = X1 ) )
        & ( $false
          | ( 'empty:Tree' != X1 ) ) ) ),
    inference(flattening,[],[f32]) ).

tff(f32,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( in(X0,X1)
    <=> ( ( in(X0,'right:(Tree)>Tree'(X1))
          | in(X0,'left:(Tree)>Tree'(X1))
          | ( 'val:(Tree)>Int'(X1) = X0 )
          | ( 'empty:Tree' = X1 ) )
        & ( $false
          | ( 'empty:Tree' != X1 ) ) ) ),
    inference(ennf_transformation,[],[f27]) ).

tff(f27,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( in(X0,X1)
    <=> ( ( ( 'empty:Tree' != X1 )
         => ( in(X0,'right:(Tree)>Tree'(X1))
            | in(X0,'left:(Tree)>Tree'(X1))
            | ( 'val:(Tree)>Int'(X1) = X0 ) ) )
        & ( ( 'empty:Tree' = X1 )
         => $false ) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ! [X4: $int,X5: 'Tree'] :
      ( in(X4,X5)
    <=> ( ( ( 'empty:Tree' != X5 )
         => ( in(X4,'right:(Tree)>Tree'(X5))
            | in(X4,'left:(Tree)>Tree'(X5))
            | ( 'val:(Tree)>Int'(X5) = X4 ) ) )
        & ( ( 'empty:Tree' = X5 )
         => $false ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_005) ).

tff(f97,plain,
    ( ( 'empty:Tree' != sK0 )
    | spl12_3 ),
    inference(avatar_component_clause,[],[f96]) ).

tff(f96,plain,
    ( spl12_3
  <=> ( 'empty:Tree' = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

tff(f84,plain,
    ! [X1: 'Tree'] : sP11(X1,'val:(Tree)>Int'(X1)),
    inference(equality_resolution,[],[f69]) ).

tff(f69,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( ( 'val:(Tree)>Int'(X1) != X0 )
      | sP11(X1,X0) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f754,plain,
    ( ~ spl12_14
    | spl12_2
    | spl12_3 ),
    inference(avatar_split_clause,[],[f736,f96,f91,f725]) ).

tff(f725,plain,
    ( spl12_14
  <=> sP11(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).

tff(f736,plain,
    ( ~ sP11(sK0,sK1)
    | spl12_2
    | spl12_3 ),
    inference(unit_resulting_resolution,[],[f97,f92,f74]) ).

tff(f753,plain,
    ( spl12_14
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f752]) ).

tff(f752,plain,
    ( $false
    | spl12_14
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f748,f731]) ).

tff(f731,plain,
    ( in(sK1,'left:(Tree)>Tree'(sK0))
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f729]) ).

tff(f729,plain,
    ( spl12_15
  <=> in(sK1,'left:(Tree)>Tree'(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

tff(f748,plain,
    ( ~ in(sK1,'left:(Tree)>Tree'(sK0))
    | spl12_14 ),
    inference(unit_resulting_resolution,[],[f727,f70]) ).

tff(f70,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( ~ in(X0,'left:(Tree)>Tree'(X1))
      | sP11(X1,X0) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f727,plain,
    ( ~ sP11(sK0,sK1)
    | spl12_14 ),
    inference(avatar_component_clause,[],[f725]) ).

tff(f747,plain,
    ( spl12_15
    | spl12_5
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(avatar_split_clause,[],[f746,f628,f566,f468,f445,f729]) ).

tff(f468,plain,
    ( spl12_9
  <=> $less(sK1,'val:(Tree)>Int'(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).

tff(f566,plain,
    ( spl12_12
  <=> sP3(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).

tff(f628,plain,
    ( spl12_13
  <=> ( 'left:(Tree)>Tree'(sK0) = sK5(sK0,sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).

tff(f746,plain,
    ( in(sK1,'left:(Tree)>Tree'(sK0))
    | spl12_5
    | ~ spl12_9
    | ~ spl12_12
    | ~ spl12_13 ),
    inference(forward_demodulation,[],[f738,f630]) ).

tff(f630,plain,
    ( ( 'left:(Tree)>Tree'(sK0) = sK5(sK0,sK1) )
    | ~ spl12_13 ),
    inference(avatar_component_clause,[],[f628]) ).

tff(f738,plain,
    ( in(sK1,sK5(sK0,sK1))
    | spl12_5
    | ~ spl12_9
    | ~ spl12_12 ),
    inference(unit_resulting_resolution,[],[f470,f446,f568,f38]) ).

tff(f38,plain,
    ! [X0: 'Tree',X1: $int] :
      ( in(X1,sK5(X0,X1))
      | ~ $less(X1,'val:(Tree)>Int'(X0))
      | ( 'val:(Tree)>Int'(X0) = X1 )
      | ~ sP3(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,plain,
    ? [X0: 'Tree',X1: $int] :
      ( ( ( ( ( ( ( ( ? [X2: 'Tree'] :
                        ( in(X1,X2)
                        & ( 'right:(Tree)>Tree'(X0) = X2 ) )
                    | $less(X1,'val:(Tree)>Int'(X0)) )
                  & ( ? [X3: 'Tree'] :
                        ( in(X1,X3)
                        & ( 'left:(Tree)>Tree'(X0) = X3 ) )
                    | ~ $less(X1,'val:(Tree)>Int'(X0)) ) )
                | ( 'val:(Tree)>Int'(X0) = X1 ) )
              & ( $true
                | ( 'val:(Tree)>Int'(X0) != X1 ) ) )
            | ( 'empty:Tree' = X0 ) )
          & ( $false
            | ( 'empty:Tree' != X0 ) ) )
      <~> in(X1,X0) )
      & searchtree(X0) ),
    inference(ennf_transformation,[],[f23]) ).

tff(f23,plain,
    ~ ! [X0: 'Tree',X1: $int] :
        ( searchtree(X0)
       => ( ( ( ( 'empty:Tree' != X0 )
             => ( ( ( 'val:(Tree)>Int'(X0) != X1 )
                 => ( ( ~ $less(X1,'val:(Tree)>Int'(X0))
                     => ? [X2: 'Tree'] :
                          ( in(X1,X2)
                          & ( 'right:(Tree)>Tree'(X0) = X2 ) ) )
                    & ( $less(X1,'val:(Tree)>Int'(X0))
                     => ? [X3: 'Tree'] :
                          ( in(X1,X3)
                          & ( 'left:(Tree)>Tree'(X0) = X3 ) ) ) ) )
                & ( ( 'val:(Tree)>Int'(X0) = X1 )
                 => $true ) ) )
            & ( ( 'empty:Tree' = X0 )
             => $false ) )
        <=> in(X1,X0) ) ),
    inference(rectify,[],[f9]) ).

tff(f9,negated_conjecture,
    ~ ! [X5: 'Tree',X4: $int] :
        ( searchtree(X5)
       => ( ( ( ( 'empty:Tree' != X5 )
             => ( ( ( 'val:(Tree)>Int'(X5) != X4 )
                 => ( ( ~ $less(X4,'val:(Tree)>Int'(X5))
                     => ? [X7: 'Tree'] :
                          ( in(X4,X7)
                          & ( 'right:(Tree)>Tree'(X5) = X7 ) ) )
                    & ( $less(X4,'val:(Tree)>Int'(X5))
                     => ? [X6: 'Tree'] :
                          ( in(X4,X6)
                          & ( 'left:(Tree)>Tree'(X5) = X6 ) ) ) ) )
                & ( ( 'val:(Tree)>Int'(X5) = X4 )
                 => $true ) ) )
            & ( ( 'empty:Tree' = X5 )
             => $false ) )
        <=> in(X4,X5) ) ),
    inference(negated_conjecture,[],[f8]) ).

tff(f8,conjecture,
    ! [X5: 'Tree',X4: $int] :
      ( searchtree(X5)
     => ( ( ( ( 'empty:Tree' != X5 )
           => ( ( ( 'val:(Tree)>Int'(X5) != X4 )
               => ( ( ~ $less(X4,'val:(Tree)>Int'(X5))
                   => ? [X7: 'Tree'] :
                        ( in(X4,X7)
                        & ( 'right:(Tree)>Tree'(X5) = X7 ) ) )
                  & ( $less(X4,'val:(Tree)>Int'(X5))
                   => ? [X6: 'Tree'] :
                        ( in(X4,X6)
                        & ( 'left:(Tree)>Tree'(X5) = X6 ) ) ) ) )
              & ( ( 'val:(Tree)>Int'(X5) = X4 )
               => $true ) ) )
          & ( ( 'empty:Tree' = X5 )
           => $false ) )
      <=> in(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_007) ).

tff(f568,plain,
    ( sP3(sK1,sK0)
    | ~ spl12_12 ),
    inference(avatar_component_clause,[],[f566]) ).

tff(f446,plain,
    ( ( sK1 != 'val:(Tree)>Int'(sK0) )
    | spl12_5 ),
    inference(avatar_component_clause,[],[f445]) ).

tff(f470,plain,
    ( $less(sK1,'val:(Tree)>Int'(sK0))
    | ~ spl12_9 ),
    inference(avatar_component_clause,[],[f468]) ).

tff(f722,plain,
    ( ~ spl12_1
    | spl12_3
    | spl12_12 ),
    inference(avatar_split_clause,[],[f650,f566,f96,f87]) ).

tff(f87,plain,
    ( spl12_1
  <=> sP2(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

tff(f650,plain,
    ( ~ sP2(sK1,sK0)
    | spl12_3
    | spl12_12 ),
    inference(unit_resulting_resolution,[],[f97,f567,f46]) ).

tff(f46,plain,
    ! [X0: 'Tree',X1: $int] :
      ( sP3(X1,X0)
      | ( 'empty:Tree' = X0 )
      | ~ sP2(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f567,plain,
    ( ~ sP3(sK1,sK0)
    | spl12_12 ),
    inference(avatar_component_clause,[],[f566]) ).

tff(f719,plain,
    ( ~ spl12_2
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_9
    | spl12_12 ),
    inference(avatar_contradiction_clause,[],[f718]) ).

tff(f718,plain,
    ( $false
    | ~ spl12_2
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_9
    | spl12_12 ),
    inference(subsumption_resolution,[],[f717,f634]) ).

tff(f634,plain,
    ( sP11(sK0,sK1)
    | ~ spl12_2 ),
    inference(unit_resulting_resolution,[],[f93,f75]) ).

tff(f75,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( sP11(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f93,plain,
    ( in(sK1,sK0)
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f91]) ).

tff(f717,plain,
    ( ~ sP11(sK0,sK1)
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_9
    | spl12_12 ),
    inference(subsumption_resolution,[],[f716,f97]) ).

tff(f716,plain,
    ( ( 'empty:Tree' = sK0 )
    | ~ sP11(sK0,sK1)
    | spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_9
    | spl12_12 ),
    inference(subsumption_resolution,[],[f715,f662]) ).

tff(f662,plain,
    ( ~ in(sK1,'left:(Tree)>Tree'(sK0))
    | spl12_3
    | ~ spl12_9
    | spl12_12 ),
    inference(unit_resulting_resolution,[],[f97,f567,f470,f227]) ).

tff(f227,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ in(X1,'left:(Tree)>Tree'(X0))
      | sP3(X1,X0)
      | ~ $less(X1,'val:(Tree)>Int'(X0))
      | ( 'empty:Tree' = X0 ) ),
    inference(superposition,[],[f189,f53]) ).

tff(f53,plain,
    ! [X0: 'Tree'] :
      ( ( 'node:(Int*Tree*Tree)>Tree'('val:(Tree)>Int'(X0),'left:(Tree)>Tree'(X0),'right:(Tree)>Tree'(X0)) = X0 )
      | ( 'empty:Tree' = X0 ) ),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: 'Tree'] :
      ( ( 'node:(Int*Tree*Tree)>Tree'('val:(Tree)>Int'(X0),'left:(Tree)>Tree'(X0),'right:(Tree)>Tree'(X0)) = X0 )
      | ( 'empty:Tree' = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula) ).

tff(f189,plain,
    ! [X2: $int,X3: 'Tree',X0: $int,X1: 'Tree'] :
      ( sP3(X0,'node:(Int*Tree*Tree)>Tree'(X2,X1,X3))
      | ~ in(X0,X1)
      | ~ $less(X0,X2) ),
    inference(forward_demodulation,[],[f186,f76]) ).

tff(f76,plain,
    ! [X2: 'Tree',X0: $int,X1: 'Tree'] : ( 'val:(Tree)>Int'('node:(Int*Tree*Tree)>Tree'(X0,X1,X2)) = X0 ),
    inference(cnf_transformation,[],[f28]) ).

tff(f28,plain,
    ! [X0: $int,X1: 'Tree',X2: 'Tree'] : ( 'val:(Tree)>Int'('node:(Int*Tree*Tree)>Tree'(X0,X1,X2)) = X0 ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X1: $int,X2: 'Tree',X3: 'Tree'] : ( 'val:(Tree)>Int'('node:(Int*Tree*Tree)>Tree'(X1,X2,X3)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_001) ).

tff(f186,plain,
    ! [X2: $int,X3: 'Tree',X0: $int,X1: 'Tree'] :
      ( ~ in(X0,X1)
      | sP3(X0,'node:(Int*Tree*Tree)>Tree'(X2,X1,X3))
      | ~ $less(X0,'val:(Tree)>Int'('node:(Int*Tree*Tree)>Tree'(X2,X1,X3))) ),
    inference(resolution,[],[f140,f40]) ).

tff(f40,plain,
    ! [X0: 'Tree',X1: $int] :
      ( sP4(X1,X0)
      | ~ $less(X1,'val:(Tree)>Int'(X0)) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f140,plain,
    ! [X2: 'Tree',X3: $int,X0: $int,X1: 'Tree'] :
      ( ~ sP4(X3,'node:(Int*Tree*Tree)>Tree'(X0,X1,X2))
      | ~ in(X3,X1)
      | sP3(X3,'node:(Int*Tree*Tree)>Tree'(X0,X1,X2)) ),
    inference(superposition,[],[f80,f67]) ).

tff(f67,plain,
    ! [X2: 'Tree',X0: $int,X1: 'Tree'] : ( 'left:(Tree)>Tree'('node:(Int*Tree*Tree)>Tree'(X0,X1,X2)) = X1 ),
    inference(cnf_transformation,[],[f26]) ).

tff(f26,plain,
    ! [X0: $int,X1: 'Tree',X2: 'Tree'] : ( 'left:(Tree)>Tree'('node:(Int*Tree*Tree)>Tree'(X0,X1,X2)) = X1 ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: $int,X2: 'Tree',X3: 'Tree'] : ( 'left:(Tree)>Tree'('node:(Int*Tree*Tree)>Tree'(X1,X2,X3)) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_002) ).

tff(f80,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ in(X1,'left:(Tree)>Tree'(X0))
      | ~ sP4(X1,X0)
      | sP3(X1,X0) ),
    inference(equality_resolution,[],[f39]) ).

tff(f39,plain,
    ! [X3: 'Tree',X0: 'Tree',X1: $int] :
      ( ( 'left:(Tree)>Tree'(X0) != X3 )
      | ~ in(X1,X3)
      | ~ sP4(X1,X0)
      | sP3(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f715,plain,
    ( in(sK1,'left:(Tree)>Tree'(sK0))
    | ( 'empty:Tree' = sK0 )
    | ~ sP11(sK0,sK1)
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(subsumption_resolution,[],[f711,f446]) ).

tff(f711,plain,
    ( ( sK1 = 'val:(Tree)>Int'(sK0) )
    | in(sK1,'left:(Tree)>Tree'(sK0))
    | ( 'empty:Tree' = sK0 )
    | ~ sP11(sK0,sK1)
    | spl12_3
    | spl12_4 ),
    inference(resolution,[],[f652,f72]) ).

tff(f72,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( in(X0,'right:(Tree)>Tree'(X1))
      | ( 'val:(Tree)>Int'(X1) = X0 )
      | in(X0,'left:(Tree)>Tree'(X1))
      | ( 'empty:Tree' = X1 )
      | ~ sP11(X1,X0) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f652,plain,
    ( ~ in(sK1,'right:(Tree)>Tree'(sK0))
    | spl12_3
    | spl12_4 ),
    inference(unit_resulting_resolution,[],[f509,f443,f56]) ).

tff(f56,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ in(X1,'right:(Tree)>Tree'(X0))
      | $less('val:(Tree)>Int'(X0),X1)
      | ~ sP10(X1,X0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f31,plain,
    ! [X0: 'Tree'] :
      ( searchtree(X0)
    <=> ( ( ( ! [X1: $int] :
                ( $less('val:(Tree)>Int'(X0),X1)
                | ~ in(X1,'right:(Tree)>Tree'(X0)) )
            & ! [X2: $int] :
                ( ~ $less('val:(Tree)>Int'(X0),X2)
                | ~ in(X2,'left:(Tree)>Tree'(X0)) )
            & searchtree('right:(Tree)>Tree'(X0))
            & searchtree('left:(Tree)>Tree'(X0)) )
          | ( 'empty:Tree' = X0 ) )
        & ( $true
          | ( 'empty:Tree' != X0 ) ) ) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f25,plain,
    ! [X0: 'Tree'] :
      ( searchtree(X0)
    <=> ( ( ( 'empty:Tree' != X0 )
         => ( ! [X1: $int] :
                ( in(X1,'right:(Tree)>Tree'(X0))
               => $less('val:(Tree)>Int'(X0),X1) )
            & ! [X2: $int] :
                ( in(X2,'left:(Tree)>Tree'(X0))
               => ~ $less('val:(Tree)>Int'(X0),X2) )
            & searchtree('right:(Tree)>Tree'(X0))
            & searchtree('left:(Tree)>Tree'(X0)) ) )
        & ( ( 'empty:Tree' = X0 )
         => $true ) ) ),
    inference(rectify,[],[f10]) ).

tff(f10,plain,
    ! [X5: 'Tree'] :
      ( searchtree(X5)
    <=> ( ( ( 'empty:Tree' != X5 )
         => ( ! [X4: $int] :
                ( in(X4,'right:(Tree)>Tree'(X5))
               => $less('val:(Tree)>Int'(X5),X4) )
            & ! [X4: $int] :
                ( in(X4,'left:(Tree)>Tree'(X5))
               => ~ $less('val:(Tree)>Int'(X5),X4) )
            & searchtree('right:(Tree)>Tree'(X5))
            & searchtree('left:(Tree)>Tree'(X5)) ) )
        & ( ( 'empty:Tree' = X5 )
         => $true ) ) ),
    inference(theory_normalization,[],[f7]) ).

tff(f7,axiom,
    ! [X5: 'Tree'] :
      ( searchtree(X5)
    <=> ( ( ( 'empty:Tree' != X5 )
         => ( ! [X4: $int] :
                ( in(X4,'right:(Tree)>Tree'(X5))
               => $greater(X4,'val:(Tree)>Int'(X5)) )
            & ! [X4: $int] :
                ( in(X4,'left:(Tree)>Tree'(X5))
               => $lesseq(X4,'val:(Tree)>Int'(X5)) )
            & searchtree('right:(Tree)>Tree'(X5))
            & searchtree('left:(Tree)>Tree'(X5)) ) )
        & ( ( 'empty:Tree' = X5 )
         => $true ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_006) ).

tff(f443,plain,
    ( ~ $less('val:(Tree)>Int'(sK0),sK1)
    | spl12_4 ),
    inference(avatar_component_clause,[],[f441]) ).

tff(f441,plain,
    ( spl12_4
  <=> $less('val:(Tree)>Int'(sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

tff(f509,plain,
    ( ! [X0: $int] : sP10(X0,sK0)
    | spl12_3 ),
    inference(unit_resulting_resolution,[],[f101,f97,f62]) ).

tff(f62,plain,
    ! [X0: 'Tree',X1: $int] :
      ( sP10(X1,X0)
      | ( 'empty:Tree' = X0 )
      | ~ sP7(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f101,plain,
    sP7(sK0),
    inference(unit_resulting_resolution,[],[f51,f66]) ).

tff(f66,plain,
    ! [X0: 'Tree'] :
      ( sP7(X0)
      | ~ searchtree(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f51,plain,
    searchtree(sK0),
    inference(cnf_transformation,[],[f30]) ).

tff(f631,plain,
    ( spl12_13
    | ~ spl12_9
    | spl12_5
    | ~ spl12_12 ),
    inference(avatar_split_clause,[],[f626,f566,f445,f468,f628]) ).

tff(f626,plain,
    ( ~ $less(sK1,'val:(Tree)>Int'(sK0))
    | ( 'left:(Tree)>Tree'(sK0) = sK5(sK0,sK1) )
    | spl12_5
    | ~ spl12_12 ),
    inference(subsumption_resolution,[],[f580,f446]) ).

tff(f580,plain,
    ( ~ $less(sK1,'val:(Tree)>Int'(sK0))
    | ( 'left:(Tree)>Tree'(sK0) = sK5(sK0,sK1) )
    | ( sK1 = 'val:(Tree)>Int'(sK0) )
    | ~ spl12_12 ),
    inference(resolution,[],[f568,f37]) ).

tff(f37,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ sP3(X1,X0)
      | ~ $less(X1,'val:(Tree)>Int'(X0))
      | ( 'left:(Tree)>Tree'(X0) = sK5(X0,X1) )
      | ( 'val:(Tree)>Int'(X0) = X1 ) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f625,plain,
    ( spl12_6
    | spl12_5
    | ~ spl12_12 ),
    inference(avatar_split_clause,[],[f586,f566,f445,f449]) ).

tff(f449,plain,
    ( spl12_6
  <=> sP4(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

tff(f586,plain,
    ( sP4(sK1,sK0)
    | spl12_5
    | ~ spl12_12 ),
    inference(unit_resulting_resolution,[],[f568,f446,f42]) ).

tff(f42,plain,
    ! [X0: 'Tree',X1: $int] :
      ( sP4(X1,X0)
      | ( 'val:(Tree)>Int'(X0) = X1 )
      | ~ sP3(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f624,plain,
    ( spl12_1
    | ~ spl12_12 ),
    inference(avatar_split_clause,[],[f578,f566,f87]) ).

tff(f578,plain,
    ( sP2(sK1,sK0)
    | ~ spl12_12 ),
    inference(unit_resulting_resolution,[],[f568,f44]) ).

tff(f44,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ sP3(X1,X0)
      | sP2(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f619,plain,
    ( spl12_2
    | spl12_3
    | ~ spl12_6
    | spl12_9
    | ~ spl12_11 ),
    inference(avatar_contradiction_clause,[],[f618]) ).

tff(f618,plain,
    ( $false
    | spl12_2
    | spl12_3
    | ~ spl12_6
    | spl12_9
    | ~ spl12_11 ),
    inference(subsumption_resolution,[],[f617,f575]) ).

tff(f575,plain,
    ( ~ in(sK1,'right:(Tree)>Tree'(sK0))
    | spl12_2
    | spl12_3 ),
    inference(unit_resulting_resolution,[],[f573,f71]) ).

tff(f71,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( ~ in(X0,'right:(Tree)>Tree'(X1))
      | sP11(X1,X0) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f573,plain,
    ( ~ sP11(sK0,sK1)
    | spl12_2
    | spl12_3 ),
    inference(unit_resulting_resolution,[],[f97,f92,f74]) ).

tff(f617,plain,
    ( in(sK1,'right:(Tree)>Tree'(sK0))
    | ~ spl12_6
    | spl12_9
    | ~ spl12_11 ),
    inference(forward_demodulation,[],[f610,f539]) ).

tff(f539,plain,
    ( ( 'right:(Tree)>Tree'(sK0) = sK6(sK0,sK1) )
    | ~ spl12_11 ),
    inference(avatar_component_clause,[],[f537]) ).

tff(f537,plain,
    ( spl12_11
  <=> ( 'right:(Tree)>Tree'(sK0) = sK6(sK0,sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).

tff(f610,plain,
    ( in(sK1,sK6(sK0,sK1))
    | ~ spl12_6
    | spl12_9 ),
    inference(unit_resulting_resolution,[],[f451,f469,f35]) ).

tff(f35,plain,
    ! [X0: 'Tree',X1: $int] :
      ( in(X1,sK6(X0,X1))
      | $less(X1,'val:(Tree)>Int'(X0))
      | ~ sP4(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f469,plain,
    ( ~ $less(sK1,'val:(Tree)>Int'(sK0))
    | spl12_9 ),
    inference(avatar_component_clause,[],[f468]) ).

tff(f451,plain,
    ( sP4(sK1,sK0)
    | ~ spl12_6 ),
    inference(avatar_component_clause,[],[f449]) ).

tff(f571,plain,
    ( ~ spl12_9
    | ~ spl12_4 ),
    inference(avatar_split_clause,[],[f553,f441,f468]) ).

tff(f553,plain,
    ( ~ $less(sK1,'val:(Tree)>Int'(sK0))
    | ~ spl12_4 ),
    inference(unit_resulting_resolution,[],[f16,f442,f17]) ).

tff(f17,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_143,[]) ).

tff(f442,plain,
    ( $less('val:(Tree)>Int'(sK0),sK1)
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f441]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f569,plain,
    ( spl12_12
    | spl12_9
    | ~ spl12_6 ),
    inference(avatar_split_clause,[],[f534,f449,f468,f566]) ).

tff(f534,plain,
    ( $less(sK1,'val:(Tree)>Int'(sK0))
    | sP3(sK1,sK0)
    | ~ spl12_6 ),
    inference(resolution,[],[f451,f41]) ).

tff(f41,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ sP4(X1,X0)
      | $less(X1,'val:(Tree)>Int'(X0))
      | sP3(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f540,plain,
    ( spl12_9
    | spl12_11
    | ~ spl12_6 ),
    inference(avatar_split_clause,[],[f533,f449,f537,f468]) ).

tff(f533,plain,
    ( ( 'right:(Tree)>Tree'(sK0) = sK6(sK0,sK1) )
    | $less(sK1,'val:(Tree)>Int'(sK0))
    | ~ spl12_6 ),
    inference(resolution,[],[f451,f34]) ).

tff(f34,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ sP4(X1,X0)
      | ( 'right:(Tree)>Tree'(X0) = sK6(X0,X1) )
      | $less(X1,'val:(Tree)>Int'(X0)) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f503,plain,
    ( ~ spl12_2
    | ~ spl12_3 ),
    inference(avatar_contradiction_clause,[],[f502]) ).

tff(f502,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_3 ),
    inference(subsumption_resolution,[],[f489,f83]) ).

tff(f83,plain,
    ! [X0: $int] : ~ in(X0,'empty:Tree'),
    inference(equality_resolution,[],[f73]) ).

tff(f73,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( ( 'empty:Tree' != X1 )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f489,plain,
    ( in(sK1,'empty:Tree')
    | ~ spl12_2
    | ~ spl12_3 ),
    inference(superposition,[],[f93,f98]) ).

tff(f98,plain,
    ( ( 'empty:Tree' = sK0 )
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f96]) ).

tff(f486,plain,
    ( spl12_1
    | ~ spl12_5 ),
    inference(avatar_split_clause,[],[f473,f445,f87]) ).

tff(f473,plain,
    ( sP2(sK1,sK0)
    | ~ spl12_5 ),
    inference(superposition,[],[f109,f447]) ).

tff(f109,plain,
    ! [X0: 'Tree'] : sP2('val:(Tree)>Int'(X0),X0),
    inference(unit_resulting_resolution,[],[f79,f44]) ).

tff(f79,plain,
    ! [X0: 'Tree'] : sP3('val:(Tree)>Int'(X0),X0),
    inference(equality_resolution,[],[f43]) ).

tff(f43,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ( 'val:(Tree)>Int'(X0) != X1 )
      | sP3(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f472,plain,
    ( spl12_5
    | spl12_9
    | spl12_4 ),
    inference(avatar_split_clause,[],[f457,f441,f468,f445]) ).

tff(f457,plain,
    ( $less(sK1,'val:(Tree)>Int'(sK0))
    | ( sK1 = 'val:(Tree)>Int'(sK0) )
    | spl12_4 ),
    inference(resolution,[],[f443,f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f452,plain,
    ( ~ spl12_4
    | spl12_5
    | spl12_3
    | spl12_6
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f439,f91,f449,f96,f445,f441]) ).

tff(f439,plain,
    ( sP4(sK1,sK0)
    | ( 'empty:Tree' = sK0 )
    | ( sK1 = 'val:(Tree)>Int'(sK0) )
    | ~ $less('val:(Tree)>Int'(sK0),sK1)
    | ~ spl12_2 ),
    inference(subsumption_resolution,[],[f438,f101]) ).

tff(f438,plain,
    ( sP4(sK1,sK0)
    | ( 'empty:Tree' = sK0 )
    | ( sK1 = 'val:(Tree)>Int'(sK0) )
    | ~ $less('val:(Tree)>Int'(sK0),sK1)
    | ~ sP7(sK0)
    | ~ spl12_2 ),
    inference(resolution,[],[f252,f105]) ).

tff(f105,plain,
    ( sP11(sK0,sK1)
    | ~ spl12_2 ),
    inference(unit_resulting_resolution,[],[f93,f75]) ).

tff(f252,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ sP11(X0,X1)
      | sP4(X1,X0)
      | ( 'empty:Tree' = X0 )
      | ( 'val:(Tree)>Int'(X0) = X1 )
      | ~ $less('val:(Tree)>Int'(X0),X1)
      | ~ sP7(X0) ),
    inference(duplicate_literal_removal,[],[f249]) ).

tff(f249,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ( 'val:(Tree)>Int'(X0) = X1 )
      | sP4(X1,X0)
      | ( 'empty:Tree' = X0 )
      | ~ sP11(X0,X1)
      | ( 'empty:Tree' = X0 )
      | ~ $less('val:(Tree)>Int'(X0),X1)
      | ~ sP7(X0) ),
    inference(resolution,[],[f116,f59]) ).

tff(f59,plain,
    ! [X2: $int,X0: 'Tree'] :
      ( ~ in(X2,'left:(Tree)>Tree'(X0))
      | ( 'empty:Tree' = X0 )
      | ~ $less('val:(Tree)>Int'(X0),X2)
      | ~ sP7(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f116,plain,
    ! [X0: $int,X1: 'Tree'] :
      ( in(X0,'left:(Tree)>Tree'(X1))
      | ( 'val:(Tree)>Int'(X1) = X0 )
      | sP4(X0,X1)
      | ( 'empty:Tree' = X1 )
      | ~ sP11(X1,X0) ),
    inference(resolution,[],[f81,f72]) ).

tff(f81,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ in(X1,'right:(Tree)>Tree'(X0))
      | sP4(X1,X0) ),
    inference(equality_resolution,[],[f36]) ).

tff(f36,plain,
    ! [X2: 'Tree',X0: 'Tree',X1: $int] :
      ( ( 'right:(Tree)>Tree'(X0) != X2 )
      | ~ in(X1,X2)
      | sP4(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f100,plain,
    ( ~ spl12_3
    | spl12_2 ),
    inference(avatar_split_clause,[],[f48,f91,f96]) ).

tff(f48,plain,
    ( in(sK1,sK0)
    | ( 'empty:Tree' != sK0 ) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f99,plain,
    ( ~ spl12_1
    | spl12_3
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f49,f91,f96,f87]) ).

tff(f49,plain,
    ( ~ in(sK1,sK0)
    | ( 'empty:Tree' = sK0 )
    | ~ sP2(sK1,sK0) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f94,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f50,f91,f87]) ).

tff(f50,plain,
    ( in(sK1,sK0)
    | sP2(sK1,sK0) ),
    inference(cnf_transformation,[],[f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SWW678_1 : TPTP v8.2.0. Released v6.4.0.
% 0.05/0.13  % 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
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat May 18 19:30:22 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a TF0_THM_EQU_ARI problem
% 0.11/0.33  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
% 0.58/0.81  % (697)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)
% 0.58/0.81  % (696)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.58/0.81  % (694)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)
% 0.58/0.81  % (695)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)
% 0.58/0.81  % (698)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)
% 0.58/0.81  % (699)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)
% 0.58/0.81  % (700)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)
% 0.58/0.81  % (701)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)
% 0.58/0.81  % (701)Refutation not found, incomplete strategy% (701)------------------------------
% 0.58/0.81  % (701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.81  % (698)Refutation not found, incomplete strategy% (698)------------------------------
% 0.58/0.81  % (698)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.81  % (699)Refutation not found, incomplete strategy% (699)------------------------------
% 0.58/0.81  % (699)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.81  % (698)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.81  
% 0.58/0.81  % (698)Memory used [KB]: 1040
% 0.58/0.81  % (699)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.81  
% 0.58/0.81  % (698)Time elapsed: 0.004 s
% 0.58/0.81  % (699)Memory used [KB]: 1035
% 0.58/0.81  % (699)Time elapsed: 0.004 s
% 0.58/0.81  % (698)Instructions burned: 5 (million)
% 0.58/0.81  % (699)Instructions burned: 4 (million)
% 0.58/0.81  % (701)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.81  
% 0.58/0.81  % (701)Memory used [KB]: 1038
% 0.58/0.81  % (701)Time elapsed: 0.004 s
% 0.58/0.81  % (701)Instructions burned: 4 (million)
% 0.58/0.81  % (699)------------------------------
% 0.58/0.81  % (699)------------------------------
% 0.58/0.81  % (701)------------------------------
% 0.58/0.81  % (701)------------------------------
% 0.58/0.81  % (698)------------------------------
% 0.58/0.81  % (698)------------------------------
% 0.58/0.81  % (697)Refutation not found, incomplete strategy% (697)------------------------------
% 0.58/0.81  % (697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.81  % (697)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.81  
% 0.58/0.81  % (697)Memory used [KB]: 1055
% 0.58/0.81  % (697)Time elapsed: 0.005 s
% 0.58/0.81  % (697)Instructions burned: 6 (million)
% 0.58/0.81  % (697)------------------------------
% 0.58/0.81  % (697)------------------------------
% 0.58/0.81  % (702)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)
% 0.65/0.81  % (703)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.65/0.81  % (704)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.65/0.82  % (705)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.65/0.83  % (694)Instruction limit reached!
% 0.65/0.83  % (694)------------------------------
% 0.65/0.83  % (694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (694)Termination reason: Unknown
% 0.65/0.83  % (694)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (694)Memory used [KB]: 1165
% 0.65/0.83  % (694)Time elapsed: 0.019 s
% 0.65/0.83  % (694)Instructions burned: 35 (million)
% 0.65/0.83  % (694)------------------------------
% 0.65/0.83  % (694)------------------------------
% 0.65/0.83  % (706)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.65/0.83  % (706)Refutation not found, incomplete strategy% (706)------------------------------
% 0.65/0.83  % (706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (706)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83  
% 0.65/0.83  % (706)Memory used [KB]: 1036
% 0.65/0.83  % (706)Time elapsed: 0.004 s
% 0.65/0.83  % (706)Instructions burned: 5 (million)
% 0.65/0.83  % (706)------------------------------
% 0.65/0.83  % (706)------------------------------
% 0.65/0.83  % (700)First to succeed.
% 0.65/0.83  % (700)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-687"
% 0.65/0.83  % (707)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.65/0.84  % (700)Refutation found. Thanks to Tanya!
% 0.65/0.84  % SZS status Theorem for theBenchmark
% 0.65/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.84  % (700)------------------------------
% 0.65/0.84  % (700)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84  % (700)Termination reason: Refutation
% 0.65/0.84  
% 0.65/0.84  % (700)Memory used [KB]: 1250
% 0.65/0.84  % (700)Time elapsed: 0.027 s
% 0.65/0.84  % (700)Instructions burned: 47 (million)
% 0.65/0.84  % (687)Success in time 0.496 s
% 0.65/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------