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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWX086_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:45:51 PM UTC 2026

% Result   : Theorem 0.98s 1.01s
% Output   : Refutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   58 (  21 unt;   0 typ;   5 def)
%            Number of atoms       :  260 ( 174 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  311 ( 109   ~;  92   |; 100   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   2 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;   6 prp; 0-3 aty)
%            Number of functors    :   60 (  60 usr;  15 con; 0-3 aty)
%            Number of variables   :  205 ( 125   !;  80   ?; 205   :)

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

tff(type_def_6,type,
    symbol: $tType ).

tff(func_def_0,type,
    f__integer__: $int > general ).

tff(func_def_1,type,
    f__symbolic__: symbol > general ).

tff(func_def_2,type,
    c__infimum__: general ).

tff(func_def_3,type,
    c__supremum__: general ).

tff(func_def_4,type,
    h_i: $int ).

tff(func_def_10,type,
    sK3: general ).

tff(func_def_11,type,
    sK4: general ).

tff(func_def_12,type,
    sK5: general ).

tff(func_def_13,type,
    sK6: general ).

tff(func_def_14,type,
    sK7: general ).

tff(func_def_15,type,
    sK8: general ).

tff(func_def_16,type,
    sK9: general ).

tff(func_def_17,type,
    sK10: general ).

tff(func_def_18,type,
    sK11: general ).

tff(func_def_19,type,
    sK12: general ).

tff(func_def_20,type,
    sK13: general ).

tff(func_def_21,type,
    sK14: general ).

tff(func_def_22,type,
    sK15: ( general * general ) > general ).

tff(func_def_23,type,
    sK16: ( general * general ) > general ).

tff(func_def_24,type,
    sK17: ( general * general ) > general ).

tff(func_def_25,type,
    sK18: ( general * general ) > general ).

tff(func_def_26,type,
    sK19: ( general * general ) > general ).

tff(func_def_27,type,
    sK20: ( general * general ) > general ).

tff(func_def_28,type,
    sK21: ( general * general * general ) > general ).

tff(func_def_29,type,
    sK22: ( general * general * general ) > general ).

tff(func_def_30,type,
    sK23: ( general * general * general ) > general ).

tff(func_def_31,type,
    sK24: ( general * general * general ) > general ).

tff(func_def_32,type,
    sK25: ( general * general * general ) > general ).

tff(func_def_33,type,
    sK26: ( general * general * general ) > general ).

tff(func_def_34,type,
    sK27: ( general * general * general ) > general ).

tff(func_def_35,type,
    sK28: ( general * general * general ) > general ).

tff(func_def_36,type,
    sK29: ( general * general * general ) > general ).

tff(func_def_37,type,
    sK30: ( general * general * general ) > general ).

tff(func_def_38,type,
    sK31: ( general * general * general ) > general ).

tff(func_def_39,type,
    sK32: ( general * general * general ) > general ).

tff(func_def_40,type,
    sK33: ( general * general * general ) > $int ).

tff(func_def_41,type,
    sK34: ( general * general * general ) > $int ).

tff(func_def_42,type,
    sK35: ( general * general * general ) > general ).

tff(func_def_43,type,
    sK36: ( general * general * general ) > general ).

tff(func_def_44,type,
    sK37: ( general * general * general ) > $int ).

tff(func_def_45,type,
    sK38: ( general * general * general ) > $int ).

tff(func_def_46,type,
    sK39: ( general * general * general ) > $int ).

tff(func_def_47,type,
    sK40: ( general * general * general ) > $int ).

tff(func_def_48,type,
    sK41: ( general * general * general ) > $int ).

tff(func_def_49,type,
    sK42: ( general * general * general ) > general ).

tff(func_def_50,type,
    sK43: ( general * general * general ) > general ).

tff(func_def_51,type,
    sK44: ( general * general * general ) > general ).

tff(func_def_52,type,
    sK45: ( general * general * general ) > general ).

tff(func_def_53,type,
    sK46: ( general * general * general ) > general ).

tff(func_def_54,type,
    sK47: ( general * general * general ) > general ).

tff(func_def_55,type,
    sK48: ( general * general * general ) > $int ).

tff(func_def_56,type,
    sK49: ( general * general * general ) > $int ).

tff(func_def_57,type,
    sK50: ( general * general ) > general ).

tff(func_def_58,type,
    sK51: ( general * general ) > general ).

tff(func_def_59,type,
    sK52: ( general * general ) > general ).

tff(func_def_60,type,
    sK53: ( general * general ) > general ).

tff(func_def_61,type,
    sK54: ( general * general ) > general ).

tff(func_def_62,type,
    sK55: ( general * general ) > general ).

tff(func_def_63,type,
    sK56: general > $int ).

tff(func_def_64,type,
    sK57: general > symbol ).

tff(pred_def_1,type,
    p__is_integer__: general > $o ).

tff(pred_def_2,type,
    p__is_symbolic__: general > $o ).

tff(pred_def_3,type,
    p__less_equal__: ( general * general ) > $o ).

tff(pred_def_4,type,
    p__less__: ( general * general ) > $o ).

tff(pred_def_5,type,
    p__greater_equal__: ( general * general ) > $o ).

tff(pred_def_6,type,
    p__greater__: ( general * general ) > $o ).

tff(pred_def_8,type,
    in0: ( general * general ) > $o ).

tff(pred_def_9,type,
    person: general > $o ).

tff(pred_def_10,type,
    goto: ( general * general * general ) > $o ).

tff(pred_def_11,type,
    go: ( general * general ) > $o ).

tff(pred_def_12,type,
    in_building: ( general * general ) > $o ).

tff(pred_def_13,type,
    in: ( general * general * general ) > $o ).

tff(pred_def_14,type,
    in_building_p: ( general * general ) > $o ).

tff(pred_def_17,type,
    sP0: ( general * general * general ) > $o ).

tff(pred_def_18,type,
    sP1: ( general * general * general ) > $o ).

tff(pred_def_19,type,
    sP2: ( general * general * general ) > $o ).

tff(f22,axiom,
    ! [X0: general,X1: general,X3: general,X2: general] :
      ( ( ? [X4: general,X5: general] :
            ( ( X5 = X3 )
            & ( X4 = X1 )
            & ( X4 != X5 ) )
        & ? [X6: general,X4: general,X5: general] :
            ( ( X6 = X2 )
            & ( X5 = X3 )
            & ( X4 = X0 )
            & in(X4,X5,X6) )
        & ? [X6: general,X5: general,X4: general] :
            ( ( X6 = X2 )
            & ( X5 = X1 )
            & ( X4 = X0 )
            & in(X4,X5,X6) ) )
     => $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_constraint_0) ).

tff(f25,conjecture,
    ! [X3: general,X0: general,X1: general,X2: general] :
      ( ( ? [X6: general,X5: general,X4: general] :
            ( ( X5 = X3 )
            & in(X4,X5,X6)
            & ( X4 = X0 )
            & ( X6 = X2 ) )
        & ? [X5: general,X4: general] :
            ( ( X5 = X3 )
            & ( X4 != X5 )
            & ( X4 = X1 ) )
        & ? [X6: general,X4: general,X5: general] :
            ( ( X5 = X1 )
            & in(X4,X5,X6)
            & ( X6 = X2 )
            & ( X4 = X0 ) ) )
     => $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_9_constraint_0) ).

tff(f26,negated_conjecture,
    ~ ! [X3: general,X0: general,X1: general,X2: general] :
        ( ( ? [X6: general,X5: general,X4: general] :
              ( ( X5 = X3 )
              & in(X4,X5,X6)
              & ( X4 = X0 )
              & ( X6 = X2 ) )
          & ? [X5: general,X4: general] :
              ( ( X5 = X3 )
              & ( X4 != X5 )
              & ( X4 = X1 ) )
          & ? [X6: general,X4: general,X5: general] :
              ( ( X5 = X1 )
              & in(X4,X5,X6)
              & ( X6 = X2 )
              & ( X4 = X0 ) ) )
       => $false ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

tff(f43,plain,
    ~ ! [X0: general,X1: general,X2: general,X3: general] :
        ( ( ? [X10: general,X11: general,X9: general] :
              ( in(X10,X11,X9)
              & ( X2 = X11 )
              & ( X3 = X9 )
              & ( X1 = X10 ) )
          & ? [X7: general,X8: general] :
              ( ( X0 = X7 )
              & ( X2 = X8 )
              & ( X7 != X8 ) )
          & ? [X6: general,X4: general,X5: general] :
              ( in(X6,X5,X4)
              & ( X1 = X6 )
              & ( X0 = X5 )
              & ( X3 = X4 ) ) )
       => $false ),
    inference(rectify,[],[f26]) ).

tff(f44,plain,
    ~ ! [X1: general,X3: general,X0: general,X2: general] :
        ~ ( ? [X10: general,X11: general,X9: general] :
              ( in(X10,X11,X9)
              & ( X2 = X11 )
              & ( X3 = X9 )
              & ( X1 = X10 ) )
          & ? [X7: general,X8: general] :
              ( ( X0 = X7 )
              & ( X2 = X8 )
              & ( X7 != X8 ) )
          & ? [X6: general,X4: general,X5: general] :
              ( in(X6,X5,X4)
              & ( X1 = X6 )
              & ( X0 = X5 )
              & ( X3 = X4 ) ) ),
    inference(true_and_false_elimination,[],[f43]) ).

tff(f55,plain,
    ! [X0: general,X1: general,X2: general,X3: general] :
      ( ( ? [X4: general,X5: general] :
            ( ( X2 = X5 )
            & ( X4 = X1 )
            & ( X4 != X5 ) )
        & ? [X6: general,X8: general,X7: general] :
            ( in(X7,X8,X6)
            & ( X3 = X6 )
            & ( X2 = X8 )
            & ( X0 = X7 ) )
        & ? [X10: general,X11: general,X9: general] :
            ( ( X1 = X10 )
            & ( X0 = X11 )
            & in(X11,X10,X9)
            & ( X3 = X9 ) ) )
     => $false ),
    inference(rectify,[],[f22]) ).

tff(f56,plain,
    ! [X0: general,X1: general,X3: general,X2: general] :
      ~ ( ? [X4: general,X5: general] :
            ( ( X2 = X5 )
            & ( X4 = X1 )
            & ( X4 != X5 ) )
        & ? [X6: general,X8: general,X7: general] :
            ( in(X7,X8,X6)
            & ( X3 = X6 )
            & ( X2 = X8 )
            & ( X0 = X7 ) )
        & ? [X10: general,X11: general,X9: general] :
            ( ( X1 = X10 )
            & ( X0 = X11 )
            & in(X11,X10,X9)
            & ( X3 = X9 ) ) ),
    inference(true_and_false_elimination,[],[f55]) ).

tff(f63,plain,
    ! [X2: general,X3: general,X1: general,X0: general] :
      ( ! [X7: general,X6: general,X8: general] :
          ( ( X0 != X7 )
          | ( X3 != X6 )
          | ~ in(X7,X8,X6)
          | ( X2 != X8 ) )
      | ! [X4: general,X5: general] :
          ( ( X2 != X5 )
          | ( X4 = X5 )
          | ( X1 != X4 ) )
      | ! [X10: general,X11: general,X9: general] :
          ( ( X3 != X9 )
          | ~ in(X11,X10,X9)
          | ( X1 != X10 )
          | ( X0 != X11 ) ) ),
    inference(ennf_transformation,[],[f56]) ).

tff(f66,plain,
    ? [X3: general,X2: general,X0: general,X1: general] :
      ( ? [X10: general,X11: general,X9: general] :
          ( in(X10,X11,X9)
          & ( X2 = X11 )
          & ( X3 = X9 )
          & ( X1 = X10 ) )
      & ? [X7: general,X8: general] :
          ( ( X0 = X7 )
          & ( X2 = X8 )
          & ( X7 != X8 ) )
      & ? [X6: general,X4: general,X5: general] :
          ( in(X6,X5,X4)
          & ( X1 = X6 )
          & ( X0 = X5 )
          & ( X3 = X4 ) ) ),
    inference(ennf_transformation,[],[f44]) ).

tff(f79,plain,
    ! [X0: general,X1: general,X2: general,X3: general] :
      ( ! [X4: general,X5: general,X6: general] :
          ( ( X3 != X4 )
          | ( X1 != X5 )
          | ~ in(X4,X6,X5)
          | ( X0 != X6 ) )
      | ! [X7: general,X8: general] :
          ( ( X0 != X8 )
          | ( X7 = X8 )
          | ( X2 != X7 ) )
      | ! [X9: general,X10: general,X11: general] :
          ( ( X1 != X11 )
          | ~ in(X10,X9,X11)
          | ( X2 != X9 )
          | ( X3 != X10 ) ) ),
    inference(rectify,[],[f63]) ).

tff(f81,plain,
    ? [X0: general,X1: general,X2: general,X3: general] :
      ( ? [X4: general,X5: general,X6: general] :
          ( in(X4,X5,X6)
          & ( X1 = X5 )
          & ( X0 = X6 )
          & ( X3 = X4 ) )
      & ? [X7: general,X8: general] :
          ( ( X2 = X7 )
          & ( X1 = X8 )
          & ( X7 != X8 ) )
      & ? [X9: general,X10: general,X11: general] :
          ( in(X9,X11,X10)
          & ( X3 = X9 )
          & ( X2 = X11 )
          & ( X0 = X10 ) ) ),
    inference(rectify,[],[f66]) ).

tff(f82,plain,
    ( in(sK7,sK8,sK9)
    & ( sK8 = sK4 )
    & ( sK9 = sK3 )
    & ( sK6 = sK7 )
    & ( sK5 = sK10 )
    & ( sK11 = sK4 )
    & ( sK11 != sK10 )
    & in(sK12,sK14,sK13)
    & ( sK12 = sK6 )
    & ( sK5 = sK14 )
    & ( sK13 = sK3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10),skolemize(X8,sK11),skolemize(X9,sK12),skolemize(X10,sK13),skolemize(X11,sK14)],[f81]) ).

tff(f113,plain,
    ! [X2: general,X3: general,X10: general,X0: general,X11: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ( X3 != X4 )
      | ( X1 != X5 )
      | ~ in(X4,X6,X5)
      | ( X0 != X6 )
      | ( X0 != X8 )
      | ( X7 = X8 )
      | ( X2 != X7 )
      | ( X1 != X11 )
      | ~ in(X10,X9,X11)
      | ( X2 != X9 )
      | ( X3 != X10 ) ),
    inference(cnf_transformation,[],[f79]) ).

tff(f117,plain,
    sK13 = sK3,
    inference(cnf_transformation,[],[f82]) ).

tff(f118,plain,
    sK5 = sK14,
    inference(cnf_transformation,[],[f82]) ).

tff(f119,plain,
    sK12 = sK6,
    inference(cnf_transformation,[],[f82]) ).

tff(f120,plain,
    in(sK12,sK14,sK13),
    inference(cnf_transformation,[],[f82]) ).

tff(f121,plain,
    sK11 != sK10,
    inference(cnf_transformation,[],[f82]) ).

tff(f122,plain,
    sK11 = sK4,
    inference(cnf_transformation,[],[f82]) ).

tff(f123,plain,
    sK5 = sK10,
    inference(cnf_transformation,[],[f82]) ).

tff(f124,plain,
    sK6 = sK7,
    inference(cnf_transformation,[],[f82]) ).

tff(f125,plain,
    sK9 = sK3,
    inference(cnf_transformation,[],[f82]) ).

tff(f126,plain,
    sK8 = sK4,
    inference(cnf_transformation,[],[f82]) ).

tff(f127,plain,
    in(sK7,sK8,sK9),
    inference(cnf_transformation,[],[f82]) ).

tff(f200,plain,
    sK12 = sK7,
    inference(definition_unfolding,[],[f119,f124]) ).

tff(f201,plain,
    in(sK7,sK4,sK3),
    inference(definition_unfolding,[],[f127,f126,f125]) ).

tff(f202,plain,
    sK10 != sK4,
    inference(definition_unfolding,[],[f121,f122]) ).

tff(f203,plain,
    in(sK7,sK14,sK3),
    inference(definition_unfolding,[],[f120,f200,f117]) ).

tff(f204,plain,
    sK14 = sK10,
    inference(definition_unfolding,[],[f118,f123]) ).

tff(f205,plain,
    ! [X2: general,X10: general,X0: general,X11: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ( X1 != X5 )
      | ~ in(X4,X6,X5)
      | ( X0 != X6 )
      | ( X0 != X8 )
      | ( X7 = X8 )
      | ( X2 != X7 )
      | ( X1 != X11 )
      | ~ in(X10,X9,X11)
      | ( X2 != X9 )
      | ( X4 != X10 ) ),
    inference(equality_resolution,[],[f113]) ).

tff(f206,plain,
    ! [X2: general,X10: general,X0: general,X11: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in(X4,X6,X5)
      | ( X0 != X6 )
      | ( X0 != X8 )
      | ( X7 = X8 )
      | ( X2 != X7 )
      | ( X5 != X11 )
      | ~ in(X10,X9,X11)
      | ( X2 != X9 )
      | ( X4 != X10 ) ),
    inference(equality_resolution,[],[f205]) ).

tff(f207,plain,
    ! [X2: general,X10: general,X11: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in(X4,X6,X5)
      | ( X6 != X8 )
      | ( X7 = X8 )
      | ( X2 != X7 )
      | ( X5 != X11 )
      | ~ in(X10,X9,X11)
      | ( X2 != X9 )
      | ( X4 != X10 ) ),
    inference(equality_resolution,[],[f206]) ).

tff(f208,plain,
    ! [X2: general,X10: general,X11: general,X8: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in(X4,X8,X5)
      | ( X7 = X8 )
      | ( X2 != X7 )
      | ( X5 != X11 )
      | ~ in(X10,X9,X11)
      | ( X2 != X9 )
      | ( X4 != X10 ) ),
    inference(equality_resolution,[],[f207]) ).

tff(f209,plain,
    ! [X10: general,X11: general,X8: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in(X4,X8,X5)
      | ( X7 = X8 )
      | ( X5 != X11 )
      | ~ in(X10,X9,X11)
      | ( X7 != X9 )
      | ( X4 != X10 ) ),
    inference(equality_resolution,[],[f208]) ).

tff(f210,plain,
    ! [X10: general,X11: general,X8: general,X9: general,X7: general,X4: general] :
      ( ~ in(X4,X8,X11)
      | ( X7 = X8 )
      | ~ in(X10,X9,X11)
      | ( X7 != X9 )
      | ( X4 != X10 ) ),
    inference(equality_resolution,[],[f209]) ).

tff(f211,plain,
    ! [X10: general,X11: general,X8: general,X9: general,X4: general] :
      ( ~ in(X4,X8,X11)
      | ( X8 = X9 )
      | ~ in(X10,X9,X11)
      | ( X4 != X10 ) ),
    inference(equality_resolution,[],[f210]) ).

tff(f212,plain,
    ! [X10: general,X11: general,X8: general,X9: general] :
      ( ~ in(X10,X9,X11)
      | ~ in(X10,X8,X11)
      | ( X8 = X9 ) ),
    inference(equality_resolution,[],[f211]) ).

tff(f260,definition,
    ( spl58_1
  <=> ( sK14 = sK10 ) ),
    introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).

tff(f262,plain,
    ( ( sK14 = sK10 )
    | ~ spl58_1 ),
    inference(avatar_component_clause,[],[f260]) ).

tff(f263,plain,
    spl58_1,
    inference(avatar_split_clause,[],[f204,f260]) ).

tff(f266,definition,
    ( spl58_2
  <=> ( sK10 = sK4 ) ),
    introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).

tff(f268,plain,
    ( ( sK10 != sK4 )
    | spl58_2 ),
    inference(avatar_component_clause,[],[f266]) ).

tff(f269,plain,
    ~ spl58_2,
    inference(avatar_split_clause,[],[f202,f266]) ).

tff(f277,definition,
    ( spl58_4
  <=> in(sK7,sK4,sK3) ),
    introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).

tff(f279,plain,
    ( in(sK7,sK4,sK3)
    | ~ spl58_4 ),
    inference(avatar_component_clause,[],[f277]) ).

tff(f280,plain,
    spl58_4,
    inference(avatar_split_clause,[],[f201,f277]) ).

tff(f282,definition,
    ( spl58_5
  <=> in(sK7,sK14,sK3) ),
    introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).

tff(f284,plain,
    ( in(sK7,sK14,sK3)
    | ~ spl58_5 ),
    inference(avatar_component_clause,[],[f282]) ).

tff(f285,plain,
    spl58_5,
    inference(avatar_split_clause,[],[f203,f282]) ).

tff(f286,plain,
    ( ( sK14 != sK4 )
    | ~ spl58_1
    | spl58_2 ),
    inference(superposition,[],[f268,f262]) ).

tff(f288,definition,
    ( spl58_6
  <=> ( sK14 = sK4 ) ),
    introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).

tff(f290,plain,
    ( ( sK14 != sK4 )
    | spl58_6 ),
    inference(avatar_component_clause,[],[f288]) ).

tff(f291,plain,
    ( ~ spl58_6
    | ~ spl58_1
    | spl58_2 ),
    inference(avatar_split_clause,[],[f286,f266,f260,f288]) ).

tff(f551,plain,
    ( ! [X0: general] :
        ( ~ in(sK7,X0,sK3)
        | ( sK4 = X0 ) )
    | ~ spl58_4 ),
    inference(resolution,[],[f212,f279]) ).

tff(f554,plain,
    ( ( sK14 = sK4 )
    | ~ spl58_4
    | ~ spl58_5 ),
    inference(resolution,[],[f551,f284]) ).

tff(f555,plain,
    ( $false
    | ~ spl58_4
    | ~ spl58_5
    | spl58_6 ),
    inference(forward_subsumption_resolution,[],[f554,f290]) ).

tff(f556,plain,
    ( ~ spl58_4
    | ~ spl58_5
    | spl58_6 ),
    inference(avatar_contradiction_clause,[],[f555]) ).

tff(f557,plain,
    $false,
    inference(avatar_smt_refutation,[],[f556,f291,f285,f280,f269,f263]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX086_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n019.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 15:00:48 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.98/1.01  % (4066807)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.98/1.01  % (4066903)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2340221309:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.98/1.01  % (4066903)First to succeed.
% 0.98/1.01  % (4066903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4066807"
% 0.98/1.01  % (4066897)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=90831810:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.98/1.01  % (4066901)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=185129818:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.98/1.01  % (4066902)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2116930644:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.98/1.01  % (4066900)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2607870454:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.98/1.01  % (4066899)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2365655653:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.98/1.01  % (4066898)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=42816553:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.98/1.01  % (4066901)Instruction limit reached! 
% 0.98/1.01  % (4066901)------------------------------
% 0.98/1.01  % (4066901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.98/1.01  % (4066901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/1.01  % (4066901)CaDiCaL version: 2.1.3
% 0.98/1.01  % (4066901)Termination reason: Instruction limit
% 0.98/1.01  % (4066901)Termination phase: Saturation
% 0.98/1.01  % (4066901)Time elapsed: 0.003 s
% 0.98/1.01  % (4066901)Peak memory usage: 87 MB
% 0.98/1.01  % (4066901)Instructions burned: 4 (million)
% 0.98/1.01  % (4066900)Instruction limit reached! 
% 0.98/1.01  % (4066900)------------------------------
% 0.98/1.01  % (4066900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.98/1.01  % (4066900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/1.01  % (4066900)CaDiCaL version: 2.1.3
% 0.98/1.01  % (4066900)Termination reason: Instruction limit
% 0.98/1.01  % (4066900)Termination phase: Saturation
% 0.98/1.01  % (4066900)Time elapsed: 0.005 s
% 0.98/1.01  % (4066900)Peak memory usage: 88 MB
% 0.98/1.01  % (4066900)Instructions burned: 7 (million)
% 0.98/1.01  % (4066897)Refutation not found, incomplete strategy
% 0.98/1.01  % (4066897)------------------------------
% 0.98/1.01  % (4066897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.98/1.01  % (4066897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/1.01  % (4066897)CaDiCaL version: 2.1.3
% 0.98/1.01  % (4066897)Termination reason: Refutation not found, incomplete strategy
% 0.98/1.01  % (4066897)Time elapsed: 0.030 s
% 0.98/1.01  % (4066897)Peak memory usage: 115 MB
% 0.98/1.01  % (4066897)Instructions burned: 8 (million)
% 0.98/1.01  % (4066902)Also succeeded, but the first one will report.
% 0.98/1.01  % (4066898)Also succeeded, but the first one will report.
% 0.98/1.01  % (4066899)Instruction limit reached! 
% 0.98/1.01  % (4066899)------------------------------
% 0.98/1.01  % (4066899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.98/1.01  % (4066899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/1.01  % (4066899)CaDiCaL version: 2.1.3
% 0.98/1.01  % (4066899)Termination reason: Instruction limit
% 0.98/1.01  % (4066899)Termination phase: Saturation
% 0.98/1.01  % (4066899)Time elapsed: 0.123 s
% 0.98/1.01  % (4066899)Peak memory usage: 113 MB
% 0.98/1.01  % (4066899)Instructions burned: 203 (million)
% 0.98/1.01  % (4066903)Refutation found. Thanks to Tanya!
% 0.98/1.01  % SZS status Theorem for theBenchmark
% 0.98/1.01  % SZS output start Proof for theBenchmark
% See solution above
% 3.13/1.20  % (4066903)------------------------------
% 3.13/1.20  % (4066903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.20  % (4066903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.20  % (4066903)CaDiCaL version: 2.1.3
% 3.13/1.20  % (4066903)Termination reason: Refutation
% 3.13/1.20  % (4066903)Time elapsed: 0.031 s
% 3.13/1.20  % (4066903)Peak memory usage: 117 MB
% 3.13/1.20  % (4066903)Instructions burned: 35 (million)
% 3.13/1.20  % (4066903)------------------------------
% 3.13/1.20  % (4066903)------------------------------
% 3.13/1.20  % (4066807)Success in time 0.35 s
% 3.13/1.20  % Vampire exiting
%------------------------------------------------------------------------------