TSTP Solution File: SWW679_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW679_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 11:41:51 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   57 (   7 unt;  16 typ;   0 def)
%            Number of atoms       :  252 (  62 equ)
%            Maximal formula atoms :   14 (   6 avg)
%            Number of connectives :  326 ( 115   ~;  66   |;  94   &)
%                                         (   8 <=>;  43  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   74 (  41 atm;   0 fun;   0 num;  33 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   17 (  12   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :   12 (   6 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   85 (  65   !;  20   ?;  85   :)

% 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,
    sK4: 'Tree' ).

tff(func_def_10,type,
    sK5: $int ).

tff(func_def_11,type,
    sK6: 'Tree' > $int ).

tff(func_def_12,type,
    sK7: 'Tree' > $int ).

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

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

tff(pred_def_6,type,
    sP0: ( 'Tree' * $int ) > $o ).

tff(pred_def_7,type,
    sP1: 'Tree' > $o ).

tff(pred_def_8,type,
    sP2: 'Tree' > $o ).

tff(pred_def_9,type,
    sP3: ( 'Tree' * $int ) > $o ).

tff(f136,plain,
    $false,
    inference(unit_resulting_resolution,[],[f122,f129,f98]) ).

tff(f98,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ~ sP0(X0,X1)
      | ~ searchtree('left:(Tree)>Tree'(X0)) ),
    inference(equality_resolution,[],[f67]) ).

tff(f67,plain,
    ! [X2: 'Tree',X0: 'Tree',X1: $int] :
      ( ~ searchtree(X2)
      | ( 'left:(Tree)>Tree'(X0) != X2 )
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tff(f47,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ( ! [X2: 'Tree'] :
            ( ~ searchtree(X2)
            | ( 'left:(Tree)>Tree'(X0) != X2 ) )
        & $less(X1,'val:(Tree)>Int'(X0)) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f46]) ).

tff(f46,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ( ! [X3: 'Tree'] :
            ( ~ searchtree(X3)
            | ( 'left:(Tree)>Tree'(X0) != X3 ) )
        & $less(X1,'val:(Tree)>Int'(X0)) )
      | ~ sP0(X0,X1) ),
    inference(nnf_transformation,[],[f39]) ).

tff(f39,plain,
    ! [X0: 'Tree',X1: $int] :
      ( ( ! [X3: 'Tree'] :
            ( ~ searchtree(X3)
            | ( 'left:(Tree)>Tree'(X0) != X3 ) )
        & $less(X1,'val:(Tree)>Int'(X0)) )
      | ~ sP0(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

tff(f129,plain,
    sP0(sK4,sK5),
    inference(unit_resulting_resolution,[],[f121,f99]) ).

tff(f99,plain,
    ( ~ searchtree('right:(Tree)>Tree'(sK4))
    | sP0(sK4,sK5) ),
    inference(equality_resolution,[],[f72]) ).

tff(f72,plain,
    ! [X2: 'Tree'] :
      ( ~ searchtree(X2)
      | ( 'right:(Tree)>Tree'(sK4) != X2 )
      | sP0(sK4,sK5) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f49,plain,
    ( ( ( ! [X2: 'Tree'] :
            ( ~ searchtree(X2)
            | ( 'right:(Tree)>Tree'(sK4) != X2 ) )
        & ~ $less(sK5,'val:(Tree)>Int'(sK4)) )
      | sP0(sK4,sK5) )
    & ( sK5 != 'val:(Tree)>Int'(sK4) )
    & ( 'empty:Tree' != sK4 )
    & searchtree(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f40,f48]) ).

tff(f48,plain,
    ( ? [X0: 'Tree',X1: $int] :
        ( ( ( ! [X2: 'Tree'] :
                ( ~ searchtree(X2)
                | ( 'right:(Tree)>Tree'(X0) != X2 ) )
            & ~ $less(X1,'val:(Tree)>Int'(X0)) )
          | sP0(X0,X1) )
        & ( 'val:(Tree)>Int'(X0) != X1 )
        & ( 'empty:Tree' != X0 )
        & searchtree(X0) )
   => ( ( ( ! [X2: 'Tree'] :
              ( ~ searchtree(X2)
              | ( 'right:(Tree)>Tree'(sK4) != X2 ) )
          & ~ $less(sK5,'val:(Tree)>Int'(sK4)) )
        | sP0(sK4,sK5) )
      & ( sK5 != 'val:(Tree)>Int'(sK4) )
      & ( 'empty:Tree' != sK4 )
      & searchtree(sK4) ) ),
    introduced(choice_axiom,[]) ).

tff(f40,plain,
    ? [X0: 'Tree',X1: $int] :
      ( ( ( ! [X2: 'Tree'] :
              ( ~ searchtree(X2)
              | ( 'right:(Tree)>Tree'(X0) != X2 ) )
          & ~ $less(X1,'val:(Tree)>Int'(X0)) )
        | sP0(X0,X1) )
      & ( 'val:(Tree)>Int'(X0) != X1 )
      & ( 'empty:Tree' != X0 )
      & searchtree(X0) ),
    inference(definition_folding,[],[f35,f39]) ).

tff(f35,plain,
    ? [X0: 'Tree',X1: $int] :
      ( ( ( ! [X2: 'Tree'] :
              ( ~ searchtree(X2)
              | ( 'right:(Tree)>Tree'(X0) != X2 ) )
          & ~ $less(X1,'val:(Tree)>Int'(X0)) )
        | ( ! [X3: 'Tree'] :
              ( ~ searchtree(X3)
              | ( 'left:(Tree)>Tree'(X0) != X3 ) )
          & $less(X1,'val:(Tree)>Int'(X0)) ) )
      & ( 'val:(Tree)>Int'(X0) != X1 )
      & ( 'empty:Tree' != X0 )
      & searchtree(X0) ),
    inference(flattening,[],[f34]) ).

tff(f34,plain,
    ? [X0: 'Tree',X1: $int] :
      ( ( ( ! [X2: 'Tree'] :
              ( ~ searchtree(X2)
              | ( 'right:(Tree)>Tree'(X0) != X2 ) )
          & ~ $less(X1,'val:(Tree)>Int'(X0)) )
        | ( ! [X3: 'Tree'] :
              ( ~ searchtree(X3)
              | ( 'left:(Tree)>Tree'(X0) != X3 ) )
          & $less(X1,'val:(Tree)>Int'(X0)) ) )
      & ( 'val:(Tree)>Int'(X0) != X1 )
      & ( 'empty:Tree' != X0 )
      & searchtree(X0) ),
    inference(ennf_transformation,[],[f24]) ).

tff(f24,plain,
    ~ ! [X0: 'Tree',X1: $int] :
        ( searchtree(X0)
       => ( ( 'empty:Tree' != X0 )
         => ( ( 'val:(Tree)>Int'(X0) != X1 )
           => ( ( ~ $less(X1,'val:(Tree)>Int'(X0))
               => ? [X2: 'Tree'] :
                    ( searchtree(X2)
                    & ( 'right:(Tree)>Tree'(X0) = X2 ) ) )
              & ( $less(X1,'val:(Tree)>Int'(X0))
               => ? [X3: 'Tree'] :
                    ( searchtree(X3)
                    & ( 'left:(Tree)>Tree'(X0) = X3 ) ) ) ) ) ) ),
    inference(true_and_false_elimination,[],[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'] :
                        ( searchtree(X2)
                        & ( 'right:(Tree)>Tree'(X0) = X2 ) ) )
                  & ( $less(X1,'val:(Tree)>Int'(X0))
                   => ? [X3: 'Tree'] :
                        ( searchtree(X3)
                        & ( 'left:(Tree)>Tree'(X0) = X3 ) ) ) ) )
              & ( ( 'val:(Tree)>Int'(X0) = X1 )
               => $true ) ) )
          & ( ( 'empty:Tree' = X0 )
           => $true ) ) ),
    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'] :
                        ( searchtree(X7)
                        & ( 'right:(Tree)>Tree'(X5) = X7 ) ) )
                  & ( $less(X4,'val:(Tree)>Int'(X5))
                   => ? [X6: 'Tree'] :
                        ( searchtree(X6)
                        & ( 'left:(Tree)>Tree'(X5) = X6 ) ) ) ) )
              & ( ( 'val:(Tree)>Int'(X5) = X4 )
               => $true ) ) )
          & ( ( 'empty:Tree' = X5 )
           => $true ) ) ),
    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'] :
                      ( searchtree(X7)
                      & ( 'right:(Tree)>Tree'(X5) = X7 ) ) )
                & ( $less(X4,'val:(Tree)>Int'(X5))
                 => ? [X6: 'Tree'] :
                      ( searchtree(X6)
                      & ( 'left:(Tree)>Tree'(X5) = X6 ) ) ) ) )
            & ( ( 'val:(Tree)>Int'(X5) = X4 )
             => $true ) ) )
        & ( ( 'empty:Tree' = X5 )
         => $true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_007) ).

tff(f121,plain,
    searchtree('right:(Tree)>Tree'(sK4)),
    inference(unit_resulting_resolution,[],[f118,f75]) ).

tff(f75,plain,
    ! [X0: 'Tree'] :
      ( ~ sP2(X0)
      | searchtree('right:(Tree)>Tree'(X0)) ),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,plain,
    ! [X0: 'Tree'] :
      ( ( sP2(X0)
        | ( ~ $less('val:(Tree)>Int'(X0),sK6(X0))
          & in(sK6(X0),'right:(Tree)>Tree'(X0)) )
        | ~ sP1(X0)
        | ~ searchtree('right:(Tree)>Tree'(X0))
        | ~ searchtree('left:(Tree)>Tree'(X0)) )
      & ( ( ! [X2: $int] :
              ( $less('val:(Tree)>Int'(X0),X2)
              | ~ in(X2,'right:(Tree)>Tree'(X0)) )
          & sP1(X0)
          & searchtree('right:(Tree)>Tree'(X0))
          & searchtree('left:(Tree)>Tree'(X0)) )
        | ~ sP2(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f52,f53]) ).

tff(f53,plain,
    ! [X0: 'Tree'] :
      ( ? [X1: $int] :
          ( ~ $less('val:(Tree)>Int'(X0),X1)
          & in(X1,'right:(Tree)>Tree'(X0)) )
     => ( ~ $less('val:(Tree)>Int'(X0),sK6(X0))
        & in(sK6(X0),'right:(Tree)>Tree'(X0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f52,plain,
    ! [X0: 'Tree'] :
      ( ( sP2(X0)
        | ? [X1: $int] :
            ( ~ $less('val:(Tree)>Int'(X0),X1)
            & in(X1,'right:(Tree)>Tree'(X0)) )
        | ~ sP1(X0)
        | ~ searchtree('right:(Tree)>Tree'(X0))
        | ~ searchtree('left:(Tree)>Tree'(X0)) )
      & ( ( ! [X2: $int] :
              ( $less('val:(Tree)>Int'(X0),X2)
              | ~ in(X2,'right:(Tree)>Tree'(X0)) )
          & sP1(X0)
          & searchtree('right:(Tree)>Tree'(X0))
          & searchtree('left:(Tree)>Tree'(X0)) )
        | ~ sP2(X0) ) ),
    inference(rectify,[],[f51]) ).

tff(f51,plain,
    ! [X0: 'Tree'] :
      ( ( sP2(X0)
        | ? [X1: $int] :
            ( ~ $less('val:(Tree)>Int'(X0),X1)
            & in(X1,'right:(Tree)>Tree'(X0)) )
        | ~ sP1(X0)
        | ~ searchtree('right:(Tree)>Tree'(X0))
        | ~ searchtree('left:(Tree)>Tree'(X0)) )
      & ( ( ! [X1: $int] :
              ( $less('val:(Tree)>Int'(X0),X1)
              | ~ in(X1,'right:(Tree)>Tree'(X0)) )
          & sP1(X0)
          & searchtree('right:(Tree)>Tree'(X0))
          & searchtree('left:(Tree)>Tree'(X0)) )
        | ~ sP2(X0) ) ),
    inference(flattening,[],[f50]) ).

tff(f50,plain,
    ! [X0: 'Tree'] :
      ( ( sP2(X0)
        | ? [X1: $int] :
            ( ~ $less('val:(Tree)>Int'(X0),X1)
            & in(X1,'right:(Tree)>Tree'(X0)) )
        | ~ sP1(X0)
        | ~ searchtree('right:(Tree)>Tree'(X0))
        | ~ searchtree('left:(Tree)>Tree'(X0)) )
      & ( ( ! [X1: $int] :
              ( $less('val:(Tree)>Int'(X0),X1)
              | ~ in(X1,'right:(Tree)>Tree'(X0)) )
          & sP1(X0)
          & searchtree('right:(Tree)>Tree'(X0))
          & searchtree('left:(Tree)>Tree'(X0)) )
        | ~ sP2(X0) ) ),
    inference(nnf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0: 'Tree'] :
      ( sP2(X0)
    <=> ( ! [X1: $int] :
            ( $less('val:(Tree)>Int'(X0),X1)
            | ~ in(X1,'right:(Tree)>Tree'(X0)) )
        & sP1(X0)
        & searchtree('right:(Tree)>Tree'(X0))
        & searchtree('left:(Tree)>Tree'(X0)) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

tff(f118,plain,
    sP2(sK4),
    inference(unit_resulting_resolution,[],[f68,f69,f83]) ).

tff(f83,plain,
    ! [X0: 'Tree'] :
      ( ~ searchtree(X0)
      | ( 'empty:Tree' = X0 )
      | sP2(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tff(f60,plain,
    ! [X0: 'Tree'] :
      ( ( searchtree(X0)
        | ( ~ sP2(X0)
          & ( 'empty:Tree' != X0 ) ) )
      & ( sP2(X0)
        | ( 'empty:Tree' = X0 )
        | ~ searchtree(X0) ) ),
    inference(flattening,[],[f59]) ).

tff(f59,plain,
    ! [X0: 'Tree'] :
      ( ( searchtree(X0)
        | ( ~ sP2(X0)
          & ( 'empty:Tree' != X0 ) ) )
      & ( sP2(X0)
        | ( 'empty:Tree' = X0 )
        | ~ searchtree(X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

tff(f43,plain,
    ! [X0: 'Tree'] :
      ( searchtree(X0)
    <=> ( sP2(X0)
        | ( 'empty:Tree' = X0 ) ) ),
    inference(definition_folding,[],[f36,f42,f41]) ).

tff(f41,plain,
    ! [X0: 'Tree'] :
      ( sP1(X0)
    <=> ! [X2: $int] :
          ( ~ $less('val:(Tree)>Int'(X0),X2)
          | ~ in(X2,'left:(Tree)>Tree'(X0)) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

tff(f36,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 ) ) ),
    inference(ennf_transformation,[],[f26]) ).

tff(f26,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)) ) ) ),
    inference(true_and_false_elimination,[],[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/sandbox/benchmark/theBenchmark.p',formula_006) ).

tff(f69,plain,
    'empty:Tree' != sK4,
    inference(cnf_transformation,[],[f49]) ).

tff(f68,plain,
    searchtree(sK4),
    inference(cnf_transformation,[],[f49]) ).

tff(f122,plain,
    searchtree('left:(Tree)>Tree'(sK4)),
    inference(unit_resulting_resolution,[],[f118,f74]) ).

tff(f74,plain,
    ! [X0: 'Tree'] :
      ( ~ sP2(X0)
      | searchtree('left:(Tree)>Tree'(X0)) ),
    inference(cnf_transformation,[],[f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW679_1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n023.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   : Fri May  3 19:33:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (30938)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (30941)WARNING: value z3 for option sas not known
% 0.15/0.39  % (30939)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (30942)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (30940)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (30941)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (30943)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39  % (30944)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39  % (30945)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39  % (30939)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39  % (30940)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39  % (30942)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39  % (30939)Terminated due to inappropriate strategy.
% 0.15/0.39  % (30939)------------------------------
% 0.15/0.39  % (30939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (30942)Terminated due to inappropriate strategy.
% 0.15/0.39  % (30942)------------------------------
% 0.15/0.39  % (30942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (30940)Terminated due to inappropriate strategy.
% 0.15/0.39  % (30940)------------------------------
% 0.15/0.39  % (30940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (30939)Termination reason: Inappropriate
% 0.15/0.39  % (30942)Termination reason: Inappropriate
% 0.15/0.39  
% 0.15/0.39  % (30940)Termination reason: Inappropriate
% 0.15/0.39  
% 0.15/0.39  
% 0.15/0.39  % (30939)Memory used [KB]: 801
% 0.15/0.39  % (30942)Memory used [KB]: 801
% 0.15/0.39  % (30940)Memory used [KB]: 801
% 0.15/0.39  % (30939)Time elapsed: 0.003 s
% 0.15/0.39  % (30942)Time elapsed: 0.003 s
% 0.15/0.39  % (30940)Time elapsed: 0.003 s
% 0.15/0.39  % (30939)Instructions burned: 4 (million)
% 0.15/0.39  % (30942)Instructions burned: 4 (million)
% 0.15/0.39  % (30940)Instructions burned: 4 (million)
% 0.15/0.39  % (30940)------------------------------
% 0.15/0.39  % (30940)------------------------------
% 0.15/0.39  % (30942)------------------------------
% 0.15/0.39  % (30942)------------------------------
% 0.15/0.39  % (30939)------------------------------
% 0.15/0.39  % (30939)------------------------------
% 0.15/0.39  % (30945)First to succeed.
% 0.15/0.39  % (30944)Also succeeded, but the first one will report.
% 0.15/0.39  % (30941)Also succeeded, but the first one will report.
% 0.15/0.39  % (30945)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30938"
% 0.15/0.39  % (30943)Also succeeded, but the first one will report.
% 0.15/0.39  % (30945)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (30945)------------------------------
% 0.15/0.39  % (30945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (30945)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (30945)Memory used [KB]: 842
% 0.15/0.39  % (30945)Time elapsed: 0.007 s
% 0.15/0.39  % (30945)Instructions burned: 8 (million)
% 0.15/0.39  % (30938)Success in time 0.021 s
%------------------------------------------------------------------------------