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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWX112_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:45:54 PM UTC 2026

% Result   : Theorem 2.92s 1.11s
% Output   : Refutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   52 (  21 unt;   0 typ;   3 def)
%            Number of atoms       :  246 ( 170 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  296 ( 102   ~;  86   |; 100   &)
%                                         (   3 <=>;   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  :   21 (  19 usr;   4 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 > symbol ).

tff(func_def_11,type,
    sK4: general > $int ).

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 ).

tff(func_def_23,type,
    sK16: 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 ).

tff(func_def_29,type,
    sK22: ( 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 ) > $int ).

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

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

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

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

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 ) > general ).

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 ) > general ).

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

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 ) > $int ).

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 ) > $int ).

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

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 * general ) > general ).

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

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,
    ! [X3: general,X1: general,X0: general,X2: general] :
      ( ( ? [X4: general,X6: general,X5: general] :
            ( in(X4,X5,X6)
            & ( X6 = X2 )
            & ( X5 = X1 )
            & ( X4 = X0 ) )
        & ? [X6: general,X5: general,X4: general] :
            ( ( X4 = X0 )
            & in(X4,X5,X6)
            & ( X5 = X3 )
            & ( X6 = X2 ) )
        & ? [X5: general,X4: general] :
            ( ( X4 = X1 )
            & ( X4 != X5 )
            & ( X5 = X3 ) ) )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6_constraint_0) ).

tff(f25,conjecture,
    ! [X1: general,X0: general,X3: general,X2: general] :
      ( ( ? [X6: general,X4: general,X5: general] :
            ( in(X4,X5,X6)
            & ( X6 = X2 )
            & ( X5 = X1 )
            & ( X4 = X0 ) )
        & ? [X6: general,X4: general,X5: general] :
            ( ( X6 = X2 )
            & ( X5 = X3 )
            & ( X4 = X0 )
            & in(X4,X5,X6) )
        & ? [X5: general,X4: general] :
            ( ( X5 = X3 )
            & ( X4 != X5 )
            & ( X4 = X1 ) ) )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9_constraint_0) ).

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

tff(f47,plain,
    ! [X0: general,X1: general,X2: general,X3: general] :
      ( ( ? [X4: general,X5: general,X6: general] :
            ( ( X2 = X4 )
            & ( X3 = X5 )
            & in(X4,X6,X5)
            & ( X1 = X6 ) )
        & ? [X9: general,X8: general,X7: general] :
            ( ( X0 = X8 )
            & in(X9,X8,X7)
            & ( X2 = X9 )
            & ( X3 = X7 ) )
        & ? [X10: general,X11: general] :
            ( ( X10 != X11 )
            & ( X0 = X10 )
            & ( X1 = X11 ) ) )
     => $false ),
    inference(rectify,[],[f22]) ).

tff(f48,plain,
    ! [X1: general,X0: general,X2: general,X3: general] :
      ~ ( ? [X4: general,X5: general,X6: general] :
            ( ( X2 = X4 )
            & ( X3 = X5 )
            & in(X4,X6,X5)
            & ( X1 = X6 ) )
        & ? [X9: general,X8: general,X7: general] :
            ( ( X0 = X8 )
            & in(X9,X8,X7)
            & ( X2 = X9 )
            & ( X3 = X7 ) )
        & ? [X10: general,X11: general] :
            ( ( X10 != X11 )
            & ( X0 = X10 )
            & ( X1 = X11 ) ) ),
    inference(true_and_false_elimination,[],[f47]) ).

tff(f50,plain,
    ~ ! [X0: general,X1: general,X2: general,X3: general] :
        ( ( ? [X8: general,X7: general,X9: general] :
              ( ( X1 = X8 )
              & in(X8,X9,X7)
              & ( X3 = X7 )
              & ( X2 = X9 ) )
          & ? [X11: general,X10: general] :
              ( ( X2 = X10 )
              & ( X10 != X11 )
              & ( X0 = X11 ) )
          & ? [X4: general,X6: general,X5: general] :
              ( ( X1 = X5 )
              & ( X3 = X4 )
              & in(X5,X6,X4)
              & ( X0 = X6 ) ) )
       => $false ),
    inference(rectify,[],[f26]) ).

tff(f51,plain,
    ~ ! [X1: general,X0: general,X3: general,X2: general] :
        ~ ( ? [X8: general,X7: general,X9: general] :
              ( ( X1 = X8 )
              & in(X8,X9,X7)
              & ( X3 = X7 )
              & ( X2 = X9 ) )
          & ? [X11: general,X10: general] :
              ( ( X2 = X10 )
              & ( X10 != X11 )
              & ( X0 = X11 ) )
          & ? [X4: general,X6: general,X5: general] :
              ( ( X1 = X5 )
              & ( X3 = X4 )
              & in(X5,X6,X4)
              & ( X0 = X6 ) ) ),
    inference(true_and_false_elimination,[],[f50]) ).

tff(f75,plain,
    ! [X2: general,X0: general,X3: general,X1: general] :
      ( ! [X11: general,X10: general] :
          ( ( X10 = X11 )
          | ( X1 != X11 )
          | ( X0 != X10 ) )
      | ! [X5: general,X4: general,X6: general] :
          ( ~ in(X4,X6,X5)
          | ( X3 != X5 )
          | ( X1 != X6 )
          | ( X2 != X4 ) )
      | ! [X7: general,X9: general,X8: general] :
          ( ( X2 != X9 )
          | ( X3 != X7 )
          | ( X0 != X8 )
          | ~ in(X9,X8,X7) ) ),
    inference(ennf_transformation,[],[f48]) ).

tff(f76,plain,
    ? [X0: general,X1: general,X3: general,X2: general] :
      ( ? [X8: general,X7: general,X9: general] :
          ( ( X1 = X8 )
          & in(X8,X9,X7)
          & ( X3 = X7 )
          & ( X2 = X9 ) )
      & ? [X11: general,X10: general] :
          ( ( X2 = X10 )
          & ( X10 != X11 )
          & ( X0 = X11 ) )
      & ? [X4: general,X6: general,X5: general] :
          ( ( X1 = X5 )
          & ( X3 = X4 )
          & in(X5,X6,X4)
          & ( X0 = X6 ) ) ),
    inference(ennf_transformation,[],[f51]) ).

tff(f84,plain,
    ? [X0: general,X1: general,X2: general,X3: general] :
      ( ? [X4: general,X5: general,X6: general] :
          ( ( X1 = X4 )
          & in(X4,X6,X5)
          & ( X2 = X5 )
          & ( X3 = X6 ) )
      & ? [X7: general,X8: general] :
          ( ( X3 = X8 )
          & ( X7 != X8 )
          & ( X0 = X7 ) )
      & ? [X9: general,X10: general,X11: general] :
          ( ( X1 = X11 )
          & ( X2 = X9 )
          & in(X11,X10,X9)
          & ( X0 = X10 ) ) ),
    inference(rectify,[],[f76]) ).

tff(f85,plain,
    ( ( sK9 = sK6 )
    & in(sK9,sK11,sK10)
    & ( sK10 = sK7 )
    & ( sK11 = sK8 )
    & ( sK8 = sK13 )
    & ( sK13 != sK12 )
    & ( sK5 = sK12 )
    & ( sK6 = sK16 )
    & ( sK7 = sK14 )
    & in(sK16,sK15,sK14)
    & ( sK15 = sK5 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9),skolemize(X5,sK10),skolemize(X6,sK11),skolemize(X7,sK12),skolemize(X8,sK13),skolemize(X9,sK14),skolemize(X10,sK15),skolemize(X11,sK16)],[f84]) ).

tff(f101,plain,
    ! [X0: general,X1: general,X2: general,X3: general] :
      ( ! [X4: general,X5: general] :
          ( ( X4 = X5 )
          | ( X3 != X4 )
          | ( X1 != X5 ) )
      | ! [X6: general,X7: general,X8: general] :
          ( ~ in(X7,X8,X6)
          | ( X2 != X6 )
          | ( X3 != X8 )
          | ( X0 != X7 ) )
      | ! [X9: general,X10: general,X11: general] :
          ( ( X0 != X10 )
          | ( X2 != X9 )
          | ( X1 != X11 )
          | ~ in(X10,X11,X9) ) ),
    inference(rectify,[],[f75]) ).

tff(f119,plain,
    sK15 = sK5,
    inference(cnf_transformation,[],[f85]) ).

tff(f120,plain,
    in(sK16,sK15,sK14),
    inference(cnf_transformation,[],[f85]) ).

tff(f121,plain,
    sK7 = sK14,
    inference(cnf_transformation,[],[f85]) ).

tff(f122,plain,
    sK6 = sK16,
    inference(cnf_transformation,[],[f85]) ).

tff(f123,plain,
    sK5 = sK12,
    inference(cnf_transformation,[],[f85]) ).

tff(f124,plain,
    sK13 != sK12,
    inference(cnf_transformation,[],[f85]) ).

tff(f125,plain,
    sK8 = sK13,
    inference(cnf_transformation,[],[f85]) ).

tff(f126,plain,
    sK11 = sK8,
    inference(cnf_transformation,[],[f85]) ).

tff(f127,plain,
    sK10 = sK7,
    inference(cnf_transformation,[],[f85]) ).

tff(f128,plain,
    in(sK9,sK11,sK10),
    inference(cnf_transformation,[],[f85]) ).

tff(f129,plain,
    sK9 = sK6,
    inference(cnf_transformation,[],[f85]) ).

tff(f181,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] :
      ( ( X4 = X5 )
      | ( X3 != X4 )
      | ( X1 != X5 )
      | ~ in(X7,X8,X6)
      | ( X2 != X6 )
      | ( X3 != X8 )
      | ( X0 != X7 )
      | ( X0 != X10 )
      | ( X2 != X9 )
      | ( X1 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f201,plain,
    sK9 = sK16,
    inference(definition_unfolding,[],[f129,f122]) ).

tff(f202,plain,
    sK10 = sK14,
    inference(definition_unfolding,[],[f127,f121]) ).

tff(f203,plain,
    sK11 = sK13,
    inference(definition_unfolding,[],[f126,f125]) ).

tff(f204,plain,
    sK15 = sK12,
    inference(definition_unfolding,[],[f119,f123]) ).

tff(f205,plain,
    in(sK16,sK13,sK14),
    inference(definition_unfolding,[],[f128,f201,f203,f202]) ).

tff(f206,plain,
    in(sK16,sK12,sK14),
    inference(definition_unfolding,[],[f120,f204]) ).

tff(f237,plain,
    ! [X2: general,X10: general,X0: general,X11: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ( X4 = X5 )
      | ( X1 != X5 )
      | ~ in(X7,X8,X6)
      | ( X2 != X6 )
      | ( X4 != X8 )
      | ( X0 != X7 )
      | ( X0 != X10 )
      | ( X2 != X9 )
      | ( X1 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(equality_resolution,[],[f181]) ).

tff(f238,plain,
    ! [X2: general,X10: general,X0: general,X11: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ( X4 = X5 )
      | ~ in(X7,X8,X6)
      | ( X2 != X6 )
      | ( X4 != X8 )
      | ( X0 != X7 )
      | ( X0 != X10 )
      | ( X2 != X9 )
      | ( X5 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(equality_resolution,[],[f237]) ).

tff(f239,plain,
    ! [X10: general,X0: general,X11: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ( X4 = X5 )
      | ~ in(X7,X8,X6)
      | ( X4 != X8 )
      | ( X0 != X7 )
      | ( X0 != X10 )
      | ( X6 != X9 )
      | ( X5 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(equality_resolution,[],[f238]) ).

tff(f240,plain,
    ! [X10: general,X0: general,X11: general,X8: general,X6: general,X9: general,X7: general,X5: general] :
      ( ( X5 = X8 )
      | ~ in(X7,X8,X6)
      | ( X0 != X7 )
      | ( X0 != X10 )
      | ( X6 != X9 )
      | ( X5 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(equality_resolution,[],[f239]) ).

tff(f241,plain,
    ! [X10: general,X11: general,X8: general,X6: general,X9: general,X7: general,X5: general] :
      ( ( X5 = X8 )
      | ~ in(X7,X8,X6)
      | ( X7 != X10 )
      | ( X6 != X9 )
      | ( X5 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(equality_resolution,[],[f240]) ).

tff(f242,plain,
    ! [X10: general,X11: general,X8: general,X6: general,X9: general,X5: general] :
      ( ( X5 = X8 )
      | ~ in(X10,X8,X6)
      | ( X6 != X9 )
      | ( X5 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(equality_resolution,[],[f241]) ).

tff(f243,plain,
    ! [X10: general,X11: general,X8: general,X9: general,X5: general] :
      ( ( X5 = X8 )
      | ~ in(X10,X8,X9)
      | ( X5 != X11 )
      | ~ in(X10,X11,X9) ),
    inference(equality_resolution,[],[f242]) ).

tff(f244,plain,
    ! [X10: general,X11: general,X8: general,X9: general] :
      ( ~ in(X10,X11,X9)
      | ( X8 = X11 )
      | ~ in(X10,X8,X9) ),
    inference(equality_resolution,[],[f243]) ).

tff(f262,definition,
    ( spl58_1
  <=> in(sK16,sK13,sK14) ),
    introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).

tff(f264,plain,
    ( in(sK16,sK13,sK14)
    | ~ spl58_1 ),
    inference(avatar_component_clause,[],[f262]) ).

tff(f265,plain,
    spl58_1,
    inference(avatar_split_clause,[],[f205,f262]) ).

tff(f267,definition,
    ( spl58_2
  <=> in(sK16,sK12,sK14) ),
    introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).

tff(f269,plain,
    ( in(sK16,sK12,sK14)
    | ~ spl58_2 ),
    inference(avatar_component_clause,[],[f267]) ).

tff(f270,plain,
    spl58_2,
    inference(avatar_split_clause,[],[f206,f267]) ).

tff(f272,definition,
    ( spl58_3
  <=> ( sK13 = sK12 ) ),
    introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).

tff(f274,plain,
    ( ( sK13 != sK12 )
    | spl58_3 ),
    inference(avatar_component_clause,[],[f272]) ).

tff(f275,plain,
    ~ spl58_3,
    inference(avatar_split_clause,[],[f124,f272]) ).

tff(f548,plain,
    ( ! [X0: general] :
        ( ~ in(sK16,X0,sK14)
        | ( sK13 = X0 ) )
    | ~ spl58_1 ),
    inference(resolution,[],[f244,f264]) ).

tff(f551,plain,
    ( ( sK13 = sK12 )
    | ~ spl58_1
    | ~ spl58_2 ),
    inference(resolution,[],[f548,f269]) ).

tff(f552,plain,
    ( $false
    | ~ spl58_1
    | ~ spl58_2
    | spl58_3 ),
    inference(forward_subsumption_resolution,[],[f551,f274]) ).

tff(f553,plain,
    ( ~ spl58_1
    | ~ spl58_2
    | spl58_3 ),
    inference(avatar_contradiction_clause,[],[f552]) ).

tff(f554,plain,
    $false,
    inference(avatar_smt_refutation,[],[f553,f275,f270,f265]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX112_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  % Computer : n009.cluster.edu
% 0.09/0.23  % Model    : x86_64 x86_64
% 0.09/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23  % Memory   : 8046.5625MB
% 0.09/0.23  % OS       : Linux 6.8.0-71-generic
% 0.09/0.23  % CPULimit : 300
% 0.09/0.23  % WCLimit  : 300
% 0.09/0.23  % DateTime : Mon Sep 28 15:02:00 UTC 2026
% 0.09/0.23  % CPUTime  : 
% 0.09/0.23  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.29  Running first-order theorem proving
% 0.26/0.29  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.92/1.11  % (3127039)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.92/1.11  % (3127050)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=945619281:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.92/1.11  % (3127050)First to succeed.
% 2.92/1.11  % (3127050)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3127039"
% 2.92/1.11  % (3127044)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=626218304:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.92/1.11  % (3127048)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=88572002:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.92/1.11  % (3127049)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=902518802:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.92/1.11  % (3127045)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4280211870:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.92/1.11  % (3127047)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=77575370:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.92/1.11  % (3127046)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=646827084:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.92/1.11  % (3127048)Instruction limit reached! 
% 2.92/1.11  % (3127048)------------------------------
% 2.92/1.11  % (3127048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.11  % (3127048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.11  % (3127048)CaDiCaL version: 2.1.3
% 2.92/1.11  % (3127048)Termination reason: Instruction limit
% 2.92/1.11  % (3127048)Termination phase: Saturation
% 2.92/1.11  % (3127048)Time elapsed: 0.005 s
% 2.92/1.11  % (3127048)Peak memory usage: 88 MB
% 2.92/1.11  % (3127048)Instructions burned: 4 (million)
% 2.92/1.11  % (3127044)Refutation not found, incomplete strategy
% 2.92/1.11  % (3127044)------------------------------
% 2.92/1.11  % (3127044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.11  % (3127044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.11  % (3127044)CaDiCaL version: 2.1.3
% 2.92/1.11  % (3127044)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.11  % (3127044)Time elapsed: 0.033 s
% 2.92/1.11  % (3127044)Peak memory usage: 116 MB
% 2.92/1.11  % (3127044)Instructions burned: 8 (million)
% 2.92/1.11  % (3127047)Instruction limit reached! 
% 2.92/1.11  % (3127047)------------------------------
% 2.92/1.11  % (3127047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.11  % (3127047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.11  % (3127047)CaDiCaL version: 2.1.3
% 2.92/1.11  % (3127047)Termination reason: Instruction limit
% 2.92/1.11  % (3127047)Termination phase: Saturation
% 2.92/1.11  % (3127047)Time elapsed: 0.008 s
% 2.92/1.11  % (3127047)Peak memory usage: 88 MB
% 2.92/1.11  % (3127047)Instructions burned: 7 (million)
% 2.92/1.11  % (3127049)Also succeeded, but the first one will report.
% 2.92/1.11  % (3127045)Also succeeded, but the first one will report.
% 2.92/1.11  % (3127050)Refutation found. Thanks to Tanya!
% 2.92/1.11  % SZS status Theorem for theBenchmark
% 2.92/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.27/1.40  % (3127050)------------------------------
% 0.27/1.40  % (3127050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/1.40  % (3127050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/1.40  % (3127050)CaDiCaL version: 2.1.3
% 0.27/1.40  % (3127050)Termination reason: Refutation
% 0.27/1.40  % (3127050)Time elapsed: 0.030 s
% 0.27/1.40  % (3127050)Peak memory usage: 117 MB
% 0.27/1.40  % (3127050)Instructions burned: 33 (million)
% 0.27/1.40  % (3127050)------------------------------
% 0.27/1.40  % (3127050)------------------------------
% 0.27/1.40  % (3127039)Success in time 0.409 s
% 0.27/1.40  % Vampire exiting
%------------------------------------------------------------------------------