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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWX087_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 : n017.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 8.72s 2.04s
% Output   : Refutation 10.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  150 (  14 unt;   0 typ;  10 def)
%            Number of atoms       :  717 ( 345 equ)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives :  824 ( 257   ~; 295   |; 249   &)
%                                         (  17 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  355 (  38 atm;  49 fun; 163 num; 105 var)
%            Number of types       :    4 (   2 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  23 usr;   8 prp; 0-3 aty)
%            Number of functors    :   47 (  42 usr;   7 con; 0-3 aty)
%            Number of variables   :  415 (   0 sgn 245   !; 170   ?; 415   :)

% 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 ).

tff(func_def_12,type,
    sK5: general ).

tff(func_def_13,type,
    sK6: general > $int ).

tff(func_def_14,type,
    sK7: ( general * general ) > general ).

tff(func_def_15,type,
    sK8: ( general * general ) > general ).

tff(func_def_16,type,
    sK9: ( general * general ) > general ).

tff(func_def_17,type,
    sK10: ( general * general ) > general ).

tff(func_def_18,type,
    sK11: ( general * general ) > general ).

tff(func_def_19,type,
    sK12: ( general * general ) > general ).

tff(func_def_20,type,
    sK13: ( general * general * general ) > general ).

tff(func_def_21,type,
    sK14: ( general * general * general ) > general ).

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

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

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

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

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

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

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

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 ) > $int ).

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

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 ) > $int ).

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

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(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(f4,axiom,
    ! [X1: $int,X0: $int] :
      ( ( X0 = X1 )
    <=> ( f__integer__(X0) = f__integer__(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f__integer__def_ax) ).

tff(f6,axiom,
    ! [X0: $int,X1: $int] :
      ( $lesseq(X0,X1)
    <=> p__less_equal__(f__integer__(X0),f__integer__(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numeral_ordering_ax) ).

tff(f17,axiom,
    ! [X0: general,X1: general] :
      ( in0(X0,X1)
     => person(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1_unnamed_formula) ).

tff(f18,axiom,
    ! [X1: general,X2: general,X0: general] :
      ( goto(X0,X1,X2)
     => person(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2_unnamed_formula) ).

tff(f24,axiom,
    ! [X2: general,X0: general,X1: general] :
      ( in(X0,X1,X2)
    <=> ( ? [X4: general,X3: general,X7: general] :
            ( ? [X5: general,X6: general] :
                ( ( X5 = X6 )
                & ( X5 = X7 )
                & ? [X8: $int,X11: $int,X9: $int] :
                    ( $lesseq(X11,X9)
                    & ( X6 = f__integer__(X11) )
                    & $lesseq(X8,X11)
                    & ( X8 = 0 )
                    & ? [X12: $int,X8: $int] :
                        ( ( X12 = 1 )
                        & ( X8 = h_i )
                        & ( X9 = $difference(X8,X12) ) ) ) )
            & ? [X5: general,X6: general,X10: general] :
                ( in(X5,X6,X10)
                & ( X5 = X3 )
                & ( X10 = X7 )
                & ( X6 = X4 ) )
            & ( X0 = X3 )
            & ? [X9: $int,X8: $int] :
                ( ( X9 = 1 )
                & ( X2 = f__integer__($sum(X8,X9)) )
                & ( f__integer__(X8) = X7 ) )
            & in(X0,X1,X2)
            & ( X1 = X4 ) )
        | ? [X4: general,X3: general] :
            ( ( X1 = X4 )
            & ( X0 = X3 )
            & ( X2 = f__integer__(0) )
            & ? [X5: general,X6: general] :
                ( ( X5 = X3 )
                & ( X6 = X4 )
                & in0(X5,X6) ) )
        | ? [X7: general,X4: general,X3: general] :
            ( ? [X9: $int,X8: $int] :
                ( ( X2 = f__integer__($sum(X8,X9)) )
                & ( f__integer__(X8) = X7 )
                & ( X9 = 1 ) )
            & ( X1 = X4 )
            & ( X0 = X3 )
            & ? [X6: general,X5: general,X10: general] :
                ( ( X10 = X7 )
                & goto(X5,X6,X10)
                & ( X6 = X4 )
                & ( X5 = X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8_completed_definition_of_in_3) ).

tff(f25,conjecture,
    ! [X1: general,X0: general] :
      ( in(X0,X1,f__integer__(0))
     => person(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9_base_case) ).

tff(f26,negated_conjecture,
    ~ ! [X1: general,X0: general] :
        ( in(X0,X1,f__integer__(0))
       => person(X0) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

tff(f27,plain,
    ! [X1: $int,X0: $int] :
      ( ~ $less(X1,X0)
    <=> p__less_equal__(f__integer__(X0),f__integer__(X1)) ),
    inference(theory_normalization,[],[f6]) ).

tff(f29,plain,
    ! [X2: general,X0: general,X1: general] :
      ( in(X0,X1,X2)
    <=> ( ? [X4: general,X3: general,X7: general] :
            ( ? [X5: general,X6: general] :
                ( ( X5 = X6 )
                & ( X5 = X7 )
                & ? [X8: $int,X11: $int,X9: $int] :
                    ( ~ $less(X9,X11)
                    & ( X6 = f__integer__(X11) )
                    & ~ $less(X11,X8)
                    & ( X8 = 0 )
                    & ? [X12: $int,X8: $int] :
                        ( ( X12 = 1 )
                        & ( X8 = h_i )
                        & ( $sum(X8,$uminus(X12)) = X9 ) ) ) )
            & ? [X5: general,X6: general,X10: general] :
                ( in(X5,X6,X10)
                & ( X5 = X3 )
                & ( X10 = X7 )
                & ( X6 = X4 ) )
            & ( X0 = X3 )
            & ? [X9: $int,X8: $int] :
                ( ( X9 = 1 )
                & ( X2 = f__integer__($sum(X8,X9)) )
                & ( f__integer__(X8) = X7 ) )
            & in(X0,X1,X2)
            & ( X1 = X4 ) )
        | ? [X4: general,X3: general] :
            ( ( X1 = X4 )
            & ( X0 = X3 )
            & ( X2 = f__integer__(0) )
            & ? [X5: general,X6: general] :
                ( ( X5 = X3 )
                & ( X6 = X4 )
                & in0(X5,X6) ) )
        | ? [X7: general,X4: general,X3: general] :
            ( ? [X9: $int,X8: $int] :
                ( ( X2 = f__integer__($sum(X8,X9)) )
                & ( f__integer__(X8) = X7 )
                & ( X9 = 1 ) )
            & ( X1 = X4 )
            & ( X0 = X3 )
            & ? [X6: general,X5: general,X10: general] :
                ( ( X10 = X7 )
                & goto(X5,X6,X10)
                & ( X6 = X4 )
                & ( X5 = X3 ) ) ) ) ),
    inference(theory_normalization,[],[f24]) ).

tff(f31,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(definition,[],[tha_commutativity]) ).

tff(f40,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(definition,[],[tha_order_plus_one_dichotomy]) ).

tff(f45,plain,
    ~ ! [X1: general,X0: general] :
        ( in(X1,X0,f__integer__(0))
       => person(X1) ),
    inference(rectify,[],[f26]) ).

tff(f50,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ( ? [X24: general,X22: general,X23: general] :
            ( ? [X26: $int,X25: $int] :
                ( ( f__integer__($sum(X26,X25)) = X0 )
                & ( 1 = X25 )
                & ( f__integer__(X26) = X22 ) )
            & ( X2 = X23 )
            & ? [X27: general,X28: general,X29: general] :
                ( ( X24 = X28 )
                & ( X23 = X27 )
                & goto(X28,X27,X29)
                & ( X22 = X29 ) )
            & ( X1 = X24 ) )
        | ? [X18: general,X19: general] :
            ( ( X1 = X19 )
            & ? [X20: general,X21: general] :
                ( in0(X20,X21)
                & ( X19 = X20 )
                & ( X18 = X21 ) )
            & ( X2 = X18 )
            & ( f__integer__(0) = X0 ) )
        | ? [X5: general,X4: general,X3: general] :
            ( ( X2 = X3 )
            & ? [X13: general,X14: general,X15: general] :
                ( ( X3 = X14 )
                & ( X5 = X15 )
                & in(X13,X14,X15)
                & ( X4 = X13 ) )
            & in(X1,X2,X0)
            & ( X1 = X4 )
            & ? [X17: $int,X16: $int] :
                ( ( f__integer__(X17) = X5 )
                & ( 1 = X16 )
                & ( f__integer__($sum(X17,X16)) = X0 ) )
            & ? [X7: general,X6: general] :
                ( ( X5 = X6 )
                & ? [X9: $int,X8: $int,X10: $int] :
                    ( ? [X11: $int,X12: $int] :
                        ( ( h_i = X12 )
                        & ( 1 = X11 )
                        & ( $sum(X12,$uminus(X11)) = X10 ) )
                    & ( f__integer__(X9) = X7 )
                    & ~ $less(X10,X9)
                    & ( X8 = 0 )
                    & ~ $less(X9,X8) )
                & ( X6 = X7 ) ) ) )
    <=> in(X1,X2,X0) ),
    inference(rectify,[],[f29]) ).

tff(f54,plain,
    ! [X1: general,X0: general,X2: general] :
      ( goto(X2,X0,X1)
     => person(X2) ),
    inference(rectify,[],[f18]) ).

tff(f60,plain,
    ! [X1: general,X0: general] :
      ( ~ in0(X0,X1)
      | person(X0) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f65,plain,
    ! [X0: general,X1: general,X2: general] :
      ( person(X2)
      | ~ goto(X2,X0,X1) ),
    inference(ennf_transformation,[],[f54]) ).

tff(f66,plain,
    ? [X1: general,X0: general] :
      ( in(X1,X0,f__integer__(0))
      & ~ person(X1) ),
    inference(ennf_transformation,[],[f45]) ).

tff(f72,definition,
    ! [X2: general,X0: general,X1: general] :
      ( sP0(X2,X0,X1)
    <=> ? [X5: general,X4: general,X3: general] :
          ( ( X2 = X3 )
          & ? [X13: general,X14: general,X15: general] :
              ( ( X3 = X14 )
              & ( X5 = X15 )
              & in(X13,X14,X15)
              & ( X4 = X13 ) )
          & in(X1,X2,X0)
          & ( X1 = X4 )
          & ? [X17: $int,X16: $int] :
              ( ( f__integer__(X17) = X5 )
              & ( 1 = X16 )
              & ( f__integer__($sum(X17,X16)) = X0 ) )
          & ? [X7: general,X6: general] :
              ( ( X5 = X6 )
              & ? [X9: $int,X8: $int,X10: $int] :
                  ( ? [X11: $int,X12: $int] :
                      ( ( h_i = X12 )
                      & ( 1 = X11 )
                      & ( $sum(X12,$uminus(X11)) = X10 ) )
                  & ( f__integer__(X9) = X7 )
                  & ~ $less(X10,X9)
                  & ( X8 = 0 )
                  & ~ $less(X9,X8) )
              & ( X6 = X7 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

tff(f73,definition,
    ! [X0: general,X2: general,X1: general] :
      ( sP1(X0,X2,X1)
    <=> ? [X24: general,X22: general,X23: general] :
          ( ? [X26: $int,X25: $int] :
              ( ( f__integer__($sum(X26,X25)) = X0 )
              & ( 1 = X25 )
              & ( f__integer__(X26) = X22 ) )
          & ( X2 = X23 )
          & ? [X27: general,X28: general,X29: general] :
              ( ( X24 = X28 )
              & ( X23 = X27 )
              & goto(X28,X27,X29)
              & ( X22 = X29 ) )
          & ( X1 = X24 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

tff(f74,definition,
    ! [X1: general,X2: general,X0: general] :
      ( sP2(X1,X2,X0)
    <=> ( sP1(X0,X2,X1)
        | ? [X18: general,X19: general] :
            ( ( X1 = X19 )
            & ? [X20: general,X21: general] :
                ( in0(X20,X21)
                & ( X19 = X20 )
                & ( X18 = X21 ) )
            & ( X2 = X18 )
            & ( f__integer__(0) = X0 ) )
        | sP0(X2,X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

tff(f75,plain,
    ! [X2: general,X0: general,X1: general] :
      ( sP2(X1,X2,X0)
    <=> in(X1,X2,X0) ),
    inference(definition_folding,[],[f50,f74,f73,f72]) ).

tff(f76,plain,
    ! [X0: general,X1: general] :
      ( ~ in0(X1,X0)
      | person(X1) ),
    inference(rectify,[],[f60]) ).

tff(f81,plain,
    ? [X0: general,X1: general] :
      ( in(X0,X1,f__integer__(0))
      & ~ person(X0) ),
    inference(rectify,[],[f66]) ).

tff(f82,plain,
    ( in(sK4,sK5,f__integer__(0))
    & ~ person(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f81]) ).

tff(f84,plain,
    ! [X1: $int,X0: $int] :
      ( ( ( X0 = X1 )
        | ( f__integer__(X1) != f__integer__(X0) ) )
      & ( ( f__integer__(X0) = f__integer__(X1) )
        | ( X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f4]) ).

tff(f85,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( X0 = X1 )
        | ( f__integer__(X1) != f__integer__(X0) ) )
      & ( ( f__integer__(X0) = f__integer__(X1) )
        | ( X0 != X1 ) ) ),
    inference(rectify,[],[f84]) ).

tff(f90,plain,
    ! [X1: $int,X0: $int] :
      ( ( ~ $less(X1,X0)
        | ~ p__less_equal__(f__integer__(X0),f__integer__(X1)) )
      & ( p__less_equal__(f__integer__(X0),f__integer__(X1))
        | $less(X1,X0) ) ),
    inference(nnf_transformation,[],[f27]) ).

tff(f91,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(X0,X1)
        | ~ p__less_equal__(f__integer__(X1),f__integer__(X0)) )
      & ( p__less_equal__(f__integer__(X1),f__integer__(X0))
        | $less(X0,X1) ) ),
    inference(rectify,[],[f90]) ).

tff(f92,plain,
    ! [X1: general,X2: general,X0: general] :
      ( ( sP2(X1,X2,X0)
        | ( ~ sP1(X0,X2,X1)
          & ! [X18: general,X19: general] :
              ( ( X1 != X19 )
              | ! [X20: general,X21: general] :
                  ( ~ in0(X20,X21)
                  | ( X19 != X20 )
                  | ( X18 != X21 ) )
              | ( X2 != X18 )
              | ( f__integer__(0) != X0 ) )
          & ~ sP0(X2,X0,X1) ) )
      & ( sP1(X0,X2,X1)
        | ? [X18: general,X19: general] :
            ( ( X1 = X19 )
            & ? [X20: general,X21: general] :
                ( in0(X20,X21)
                & ( X19 = X20 )
                & ( X18 = X21 ) )
            & ( X2 = X18 )
            & ( f__integer__(0) = X0 ) )
        | sP0(X2,X0,X1)
        | ~ sP2(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f74]) ).

tff(f93,plain,
    ! [X1: general,X2: general,X0: general] :
      ( ( sP2(X1,X2,X0)
        | ( ~ sP1(X0,X2,X1)
          & ! [X18: general,X19: general] :
              ( ( X1 != X19 )
              | ! [X20: general,X21: general] :
                  ( ~ in0(X20,X21)
                  | ( X19 != X20 )
                  | ( X18 != X21 ) )
              | ( X2 != X18 )
              | ( f__integer__(0) != X0 ) )
          & ~ sP0(X2,X0,X1) ) )
      & ( sP1(X0,X2,X1)
        | ? [X18: general,X19: general] :
            ( ( X1 = X19 )
            & ? [X20: general,X21: general] :
                ( in0(X20,X21)
                & ( X19 = X20 )
                & ( X18 = X21 ) )
            & ( X2 = X18 )
            & ( f__integer__(0) = X0 ) )
        | sP0(X2,X0,X1)
        | ~ sP2(X1,X2,X0) ) ),
    inference(flattening,[],[f92]) ).

tff(f94,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( sP2(X0,X1,X2)
        | ( ~ sP1(X2,X1,X0)
          & ! [X3: general,X4: general] :
              ( ( X0 != X4 )
              | ! [X5: general,X6: general] :
                  ( ~ in0(X5,X6)
                  | ( X4 != X5 )
                  | ( X3 != X6 ) )
              | ( X1 != X3 )
              | ( f__integer__(0) != X2 ) )
          & ~ sP0(X1,X2,X0) ) )
      & ( sP1(X2,X1,X0)
        | ? [X7: general,X8: general] :
            ( ( X0 = X8 )
            & ? [X9: general,X10: general] :
                ( in0(X9,X10)
                & ( X8 = X9 )
                & ( X7 = X10 ) )
            & ( X1 = X7 )
            & ( f__integer__(0) = X2 ) )
        | sP0(X1,X2,X0)
        | ~ sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f93]) ).

tff(f95,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( sP2(X0,X1,X2)
        | ( ~ sP1(X2,X1,X0)
          & ! [X3: general,X4: general] :
              ( ( X0 != X4 )
              | ! [X5: general,X6: general] :
                  ( ~ in0(X5,X6)
                  | ( X4 != X5 )
                  | ( X3 != X6 ) )
              | ( X1 != X3 )
              | ( f__integer__(0) != X2 ) )
          & ~ sP0(X1,X2,X0) ) )
      & ( sP1(X2,X1,X0)
        | ( ( sK14(X0,X1,X2) = X0 )
          & in0(sK15(X0,X1,X2),sK16(X0,X1,X2))
          & ( sK15(X0,X1,X2) = sK14(X0,X1,X2) )
          & ( sK13(X0,X1,X2) = sK16(X0,X1,X2) )
          & ( sK13(X0,X1,X2) = X1 )
          & ( f__integer__(0) = X2 ) )
        | sP0(X1,X2,X0)
        | ~ sP2(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16]),skolemize(X7,sK13(X0,X1,X2)),skolemize(X8,sK14(X0,X1,X2)),skolemize(X9,sK15(X0,X1,X2)),skolemize(X10,sK16(X0,X1,X2))],[f94]) ).

tff(f96,plain,
    ! [X0: general,X2: general,X1: general] :
      ( ( sP1(X0,X2,X1)
        | ! [X24: general,X22: general,X23: general] :
            ( ! [X26: $int,X25: $int] :
                ( ( f__integer__($sum(X26,X25)) != X0 )
                | ( 1 != X25 )
                | ( f__integer__(X26) != X22 ) )
            | ( X2 != X23 )
            | ! [X27: general,X28: general,X29: general] :
                ( ( X24 != X28 )
                | ( X23 != X27 )
                | ~ goto(X28,X27,X29)
                | ( X22 != X29 ) )
            | ( X1 != X24 ) ) )
      & ( ? [X24: general,X22: general,X23: general] :
            ( ? [X26: $int,X25: $int] :
                ( ( f__integer__($sum(X26,X25)) = X0 )
                & ( 1 = X25 )
                & ( f__integer__(X26) = X22 ) )
            & ( X2 = X23 )
            & ? [X27: general,X28: general,X29: general] :
                ( ( X24 = X28 )
                & ( X23 = X27 )
                & goto(X28,X27,X29)
                & ( X22 = X29 ) )
            & ( X1 = X24 ) )
        | ~ sP1(X0,X2,X1) ) ),
    inference(nnf_transformation,[],[f73]) ).

tff(f97,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( sP1(X0,X1,X2)
        | ! [X3: general,X4: general,X5: general] :
            ( ! [X6: $int,X7: $int] :
                ( ( f__integer__($sum(X6,X7)) != X0 )
                | ( 1 != X7 )
                | ( f__integer__(X6) != X4 ) )
            | ( X1 != X5 )
            | ! [X8: general,X9: general,X10: general] :
                ( ( X3 != X9 )
                | ( X5 != X8 )
                | ~ goto(X9,X8,X10)
                | ( X4 != X10 ) )
            | ( X2 != X3 ) ) )
      & ( ? [X11: general,X12: general,X13: general] :
            ( ? [X14: $int,X15: $int] :
                ( ( f__integer__($sum(X14,X15)) = X0 )
                & ( 1 = X15 )
                & ( f__integer__(X14) = X12 ) )
            & ( X1 = X13 )
            & ? [X16: general,X17: general,X18: general] :
                ( ( X11 = X17 )
                & ( X13 = X16 )
                & goto(X17,X16,X18)
                & ( X12 = X18 ) )
            & ( X2 = X11 ) )
        | ~ sP1(X0,X1,X2) ) ),
    inference(rectify,[],[f96]) ).

tff(f98,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( sP1(X0,X1,X2)
        | ! [X3: general,X4: general,X5: general] :
            ( ! [X6: $int,X7: $int] :
                ( ( f__integer__($sum(X6,X7)) != X0 )
                | ( 1 != X7 )
                | ( f__integer__(X6) != X4 ) )
            | ( X1 != X5 )
            | ! [X8: general,X9: general,X10: general] :
                ( ( X3 != X9 )
                | ( X5 != X8 )
                | ~ goto(X9,X8,X10)
                | ( X4 != X10 ) )
            | ( X2 != X3 ) ) )
      & ( ( ( f__integer__($sum(sK20(X0,X1,X2),sK21(X0,X1,X2))) = X0 )
          & ( 1 = sK21(X0,X1,X2) )
          & ( sK18(X0,X1,X2) = f__integer__(sK20(X0,X1,X2)) )
          & ( sK19(X0,X1,X2) = X1 )
          & ( sK23(X0,X1,X2) = sK17(X0,X1,X2) )
          & ( sK22(X0,X1,X2) = sK19(X0,X1,X2) )
          & goto(sK23(X0,X1,X2),sK22(X0,X1,X2),sK24(X0,X1,X2))
          & ( sK24(X0,X1,X2) = sK18(X0,X1,X2) )
          & ( sK17(X0,X1,X2) = X2 ) )
        | ~ sP1(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24]),skolemize(X11,sK17(X0,X1,X2)),skolemize(X12,sK18(X0,X1,X2)),skolemize(X13,sK19(X0,X1,X2)),skolemize(X14,sK20(X0,X1,X2)),skolemize(X15,sK21(X0,X1,X2)),skolemize(X16,sK22(X0,X1,X2)),skolemize(X17,sK23(X0,X1,X2)),skolemize(X18,sK24(X0,X1,X2))],[f97]) ).

tff(f99,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ( sP0(X2,X0,X1)
        | ! [X5: general,X4: general,X3: general] :
            ( ( X2 != X3 )
            | ! [X13: general,X14: general,X15: general] :
                ( ( X3 != X14 )
                | ( X5 != X15 )
                | ~ in(X13,X14,X15)
                | ( X4 != X13 ) )
            | ~ in(X1,X2,X0)
            | ( X1 != X4 )
            | ! [X17: $int,X16: $int] :
                ( ( f__integer__(X17) != X5 )
                | ( 1 != X16 )
                | ( f__integer__($sum(X17,X16)) != X0 ) )
            | ! [X7: general,X6: general] :
                ( ( X5 != X6 )
                | ! [X9: $int,X8: $int,X10: $int] :
                    ( ! [X11: $int,X12: $int] :
                        ( ( h_i != X12 )
                        | ( 1 != X11 )
                        | ( $sum(X12,$uminus(X11)) != X10 ) )
                    | ( f__integer__(X9) != X7 )
                    | $less(X10,X9)
                    | ( 0 != X8 )
                    | $less(X9,X8) )
                | ( X6 != X7 ) ) ) )
      & ( ? [X5: general,X4: general,X3: general] :
            ( ( X2 = X3 )
            & ? [X13: general,X14: general,X15: general] :
                ( ( X3 = X14 )
                & ( X5 = X15 )
                & in(X13,X14,X15)
                & ( X4 = X13 ) )
            & in(X1,X2,X0)
            & ( X1 = X4 )
            & ? [X17: $int,X16: $int] :
                ( ( f__integer__(X17) = X5 )
                & ( 1 = X16 )
                & ( f__integer__($sum(X17,X16)) = X0 ) )
            & ? [X7: general,X6: general] :
                ( ( X5 = X6 )
                & ? [X9: $int,X8: $int,X10: $int] :
                    ( ? [X11: $int,X12: $int] :
                        ( ( h_i = X12 )
                        & ( 1 = X11 )
                        & ( $sum(X12,$uminus(X11)) = X10 ) )
                    & ( f__integer__(X9) = X7 )
                    & ~ $less(X10,X9)
                    & ( X8 = 0 )
                    & ~ $less(X9,X8) )
                & ( X6 = X7 ) ) )
        | ~ sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f72]) ).

tff(f100,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( sP0(X0,X1,X2)
        | ! [X3: general,X4: general,X5: general] :
            ( ( X0 != X5 )
            | ! [X6: general,X7: general,X8: general] :
                ( ( X5 != X7 )
                | ( X3 != X8 )
                | ~ in(X6,X7,X8)
                | ( X4 != X6 ) )
            | ~ in(X2,X0,X1)
            | ( X2 != X4 )
            | ! [X9: $int,X10: $int] :
                ( ( f__integer__(X9) != X3 )
                | ( 1 != X10 )
                | ( f__integer__($sum(X9,X10)) != X1 ) )
            | ! [X11: general,X12: general] :
                ( ( X3 != X12 )
                | ! [X13: $int,X14: $int,X15: $int] :
                    ( ! [X16: $int,X17: $int] :
                        ( ( h_i != X17 )
                        | ( 1 != X16 )
                        | ( $sum(X17,$uminus(X16)) != X15 ) )
                    | ( f__integer__(X13) != X11 )
                    | $less(X15,X13)
                    | ( 0 != X14 )
                    | $less(X13,X14) )
                | ( X11 != X12 ) ) ) )
      & ( ? [X18: general,X19: general,X20: general] :
            ( ( X0 = X20 )
            & ? [X21: general,X22: general,X23: general] :
                ( ( X20 = X22 )
                & ( X18 = X23 )
                & in(X21,X22,X23)
                & ( X19 = X21 ) )
            & in(X2,X0,X1)
            & ( X2 = X19 )
            & ? [X24: $int,X25: $int] :
                ( ( f__integer__(X24) = X18 )
                & ( 1 = X25 )
                & ( f__integer__($sum(X24,X25)) = X1 ) )
            & ? [X26: general,X27: general] :
                ( ( X18 = X27 )
                & ? [X28: $int,X29: $int,X30: $int] :
                    ( ? [X31: $int,X32: $int] :
                        ( ( h_i = X32 )
                        & ( 1 = X31 )
                        & ( $sum(X32,$uminus(X31)) = X30 ) )
                    & ( f__integer__(X28) = X26 )
                    & ~ $less(X30,X28)
                    & ( 0 = X29 )
                    & ~ $less(X28,X29) )
                & ( X26 = X27 ) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f99]) ).

tff(f101,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( sP0(X0,X1,X2)
        | ! [X3: general,X4: general,X5: general] :
            ( ( X0 != X5 )
            | ! [X6: general,X7: general,X8: general] :
                ( ( X5 != X7 )
                | ( X3 != X8 )
                | ~ in(X6,X7,X8)
                | ( X4 != X6 ) )
            | ~ in(X2,X0,X1)
            | ( X2 != X4 )
            | ! [X9: $int,X10: $int] :
                ( ( f__integer__(X9) != X3 )
                | ( 1 != X10 )
                | ( f__integer__($sum(X9,X10)) != X1 ) )
            | ! [X11: general,X12: general] :
                ( ( X3 != X12 )
                | ! [X13: $int,X14: $int,X15: $int] :
                    ( ! [X16: $int,X17: $int] :
                        ( ( h_i != X17 )
                        | ( 1 != X16 )
                        | ( $sum(X17,$uminus(X16)) != X15 ) )
                    | ( f__integer__(X13) != X11 )
                    | $less(X15,X13)
                    | ( 0 != X14 )
                    | $less(X13,X14) )
                | ( X11 != X12 ) ) ) )
      & ( ( ( sK27(X0,X1,X2) = X0 )
          & ( sK27(X0,X1,X2) = sK29(X0,X1,X2) )
          & ( sK30(X0,X1,X2) = sK25(X0,X1,X2) )
          & in(sK28(X0,X1,X2),sK29(X0,X1,X2),sK30(X0,X1,X2))
          & ( sK28(X0,X1,X2) = sK26(X0,X1,X2) )
          & in(X2,X0,X1)
          & ( sK26(X0,X1,X2) = X2 )
          & ( sK25(X0,X1,X2) = f__integer__(sK31(X0,X1,X2)) )
          & ( 1 = sK32(X0,X1,X2) )
          & ( f__integer__($sum(sK31(X0,X1,X2),sK32(X0,X1,X2))) = X1 )
          & ( sK25(X0,X1,X2) = sK34(X0,X1,X2) )
          & ( h_i = sK39(X0,X1,X2) )
          & ( 1 = sK38(X0,X1,X2) )
          & ( $sum(sK39(X0,X1,X2),$uminus(sK38(X0,X1,X2))) = sK37(X0,X1,X2) )
          & ( sK33(X0,X1,X2) = f__integer__(sK35(X0,X1,X2)) )
          & ~ $less(sK37(X0,X1,X2),sK35(X0,X1,X2))
          & ( 0 = sK36(X0,X1,X2) )
          & ~ $less(sK35(X0,X1,X2),sK36(X0,X1,X2))
          & ( sK33(X0,X1,X2) = sK34(X0,X1,X2) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39]),skolemize(X18,sK25(X0,X1,X2)),skolemize(X19,sK26(X0,X1,X2)),skolemize(X20,sK27(X0,X1,X2)),skolemize(X21,sK28(X0,X1,X2)),skolemize(X22,sK29(X0,X1,X2)),skolemize(X23,sK30(X0,X1,X2)),skolemize(X24,sK31(X0,X1,X2)),skolemize(X25,sK32(X0,X1,X2)),skolemize(X26,sK33(X0,X1,X2)),skolemize(X27,sK34(X0,X1,X2)),skolemize(X28,sK35(X0,X1,X2)),skolemize(X29,sK36(X0,X1,X2)),skolemize(X30,sK37(X0,X1,X2)),skolemize(X31,sK38(X0,X1,X2)),skolemize(X32,sK39(X0,X1,X2))],[f100]) ).

tff(f102,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ( sP2(X1,X2,X0)
        | ~ in(X1,X2,X0) )
      & ( in(X1,X2,X0)
        | ~ sP2(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f75]) ).

tff(f103,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( sP2(X2,X0,X1)
        | ~ in(X2,X0,X1) )
      & ( in(X2,X0,X1)
        | ~ sP2(X2,X0,X1) ) ),
    inference(rectify,[],[f102]) ).

tff(f106,plain,
    ! [X0: general,X1: general] :
      ( ~ in0(X1,X0)
      | person(X1) ),
    inference(cnf_transformation,[],[f76]) ).

tff(f108,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ goto(X2,X0,X1)
      | person(X2) ),
    inference(cnf_transformation,[],[f65]) ).

tff(f117,plain,
    ~ person(sK4),
    inference(cnf_transformation,[],[f82]) ).

tff(f118,plain,
    in(sK4,sK5,f__integer__(0)),
    inference(cnf_transformation,[],[f82]) ).

tff(f123,plain,
    ! [X0: $int,X1: $int] :
      ( ( f__integer__(X1) != f__integer__(X0) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f85]) ).

tff(f133,plain,
    ! [X0: $int,X1: $int] :
      ( p__less_equal__(f__integer__(X1),f__integer__(X0))
      | $less(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

tff(f134,plain,
    ! [X0: $int,X1: $int] :
      ( ~ p__less_equal__(f__integer__(X1),f__integer__(X0))
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

tff(f136,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP2(X0,X1,X2)
      | ( sK13(X0,X1,X2) = X1 )
      | sP1(X2,X1,X0)
      | sP0(X1,X2,X0) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f137,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP2(X0,X1,X2)
      | ( sK13(X0,X1,X2) = sK16(X0,X1,X2) )
      | sP0(X1,X2,X0)
      | sP1(X2,X1,X0) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f138,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP2(X0,X1,X2)
      | sP1(X2,X1,X0)
      | ( sK15(X0,X1,X2) = sK14(X0,X1,X2) )
      | sP0(X1,X2,X0) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f139,plain,
    ! [X2: general,X0: general,X1: general] :
      ( in0(sK15(X0,X1,X2),sK16(X0,X1,X2))
      | sP0(X1,X2,X0)
      | sP1(X2,X1,X0)
      | ~ sP2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f140,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP2(X0,X1,X2)
      | ( sK14(X0,X1,X2) = X0 )
      | sP1(X2,X1,X0)
      | sP0(X1,X2,X0) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f144,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP1(X0,X1,X2)
      | ( sK17(X0,X1,X2) = X2 ) ),
    inference(cnf_transformation,[],[f98]) ).

tff(f146,plain,
    ! [X2: general,X0: general,X1: general] :
      ( goto(sK23(X0,X1,X2),sK22(X0,X1,X2),sK24(X0,X1,X2))
      | ~ sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f98]) ).

tff(f148,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP1(X0,X1,X2)
      | ( sK23(X0,X1,X2) = sK17(X0,X1,X2) ) ),
    inference(cnf_transformation,[],[f98]) ).

tff(f154,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP0(X0,X1,X2)
      | ( sK33(X0,X1,X2) = sK34(X0,X1,X2) ) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f155,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ $less(sK35(X0,X1,X2),sK36(X0,X1,X2))
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f156,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP0(X0,X1,X2)
      | ( 0 = sK36(X0,X1,X2) ) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f158,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP0(X0,X1,X2)
      | ( sK33(X0,X1,X2) = f__integer__(sK35(X0,X1,X2)) ) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f162,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP0(X0,X1,X2)
      | ( sK25(X0,X1,X2) = sK34(X0,X1,X2) ) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f163,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP0(X0,X1,X2)
      | ( f__integer__($sum(sK31(X0,X1,X2),sK32(X0,X1,X2))) = X1 ) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f164,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP0(X0,X1,X2)
      | ( 1 = sK32(X0,X1,X2) ) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f165,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ sP0(X0,X1,X2)
      | ( sK25(X0,X1,X2) = f__integer__(sK31(X0,X1,X2)) ) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f175,plain,
    ! [X2: general,X0: general,X1: general] :
      ( ~ in(X2,X0,X1)
      | sP2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

tff(f226,plain,
    ! [X0: general,X1: general] : ~ goto(sK4,X0,X1),
    inference(unit_resulting_resolution,[],[f108,f117]) ).

tff(f228,plain,
    sP2(sK4,sK5,f__integer__(0)),
    inference(unit_resulting_resolution,[],[f175,f118]) ).

tff(f234,plain,
    ( sP0(sK5,f__integer__(0),sK4)
    | sP1(f__integer__(0),sK5,sK4)
    | ( sK4 = sK14(sK4,sK5,f__integer__(0)) ) ),
    inference(resolution,[],[f228,f140]) ).

tff(f235,plain,
    ( sP1(f__integer__(0),sK5,sK4)
    | sP0(sK5,f__integer__(0),sK4)
    | ( sK16(sK4,sK5,f__integer__(0)) = sK13(sK4,sK5,f__integer__(0)) ) ),
    inference(resolution,[],[f228,f137]) ).

tff(f237,plain,
    ( ( sK14(sK4,sK5,f__integer__(0)) = sK15(sK4,sK5,f__integer__(0)) )
    | sP0(sK5,f__integer__(0),sK4)
    | sP1(f__integer__(0),sK5,sK4) ),
    inference(resolution,[],[f228,f138]) ).

tff(f239,plain,
    ( sP0(sK5,f__integer__(0),sK4)
    | ( sK5 = sK13(sK4,sK5,f__integer__(0)) )
    | sP1(f__integer__(0),sK5,sK4) ),
    inference(resolution,[],[f228,f136]) ).

tff(f241,definition,
    ( spl40_1
  <=> ( sK5 = sK13(sK4,sK5,f__integer__(0)) ) ),
    introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).

tff(f243,plain,
    ( ( sK5 = sK13(sK4,sK5,f__integer__(0)) )
    | ~ spl40_1 ),
    inference(avatar_component_clause,[],[f241]) ).

tff(f245,definition,
    ( spl40_2
  <=> sP0(sK5,f__integer__(0),sK4) ),
    introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).

tff(f246,plain,
    ( ~ sP0(sK5,f__integer__(0),sK4)
    | spl40_2 ),
    inference(avatar_component_clause,[],[f245]) ).

tff(f247,plain,
    ( sP0(sK5,f__integer__(0),sK4)
    | ~ spl40_2 ),
    inference(avatar_component_clause,[],[f245]) ).

tff(f249,definition,
    ( spl40_3
  <=> sP1(f__integer__(0),sK5,sK4) ),
    introduced(definition,[new_symbols(definition,[spl40_3])],[avatar_definition]) ).

tff(f250,plain,
    ( ~ sP1(f__integer__(0),sK5,sK4)
    | spl40_3 ),
    inference(avatar_component_clause,[],[f249]) ).

tff(f251,plain,
    ( sP1(f__integer__(0),sK5,sK4)
    | ~ spl40_3 ),
    inference(avatar_component_clause,[],[f249]) ).

tff(f252,plain,
    ( spl40_1
    | spl40_2
    | spl40_3 ),
    inference(avatar_split_clause,[],[f239,f249,f245,f241]) ).

tff(f254,definition,
    ( spl40_4
  <=> ( sK14(sK4,sK5,f__integer__(0)) = sK15(sK4,sK5,f__integer__(0)) ) ),
    introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).

tff(f256,plain,
    ( ( sK14(sK4,sK5,f__integer__(0)) = sK15(sK4,sK5,f__integer__(0)) )
    | ~ spl40_4 ),
    inference(avatar_component_clause,[],[f254]) ).

tff(f257,plain,
    ( spl40_4
    | spl40_2
    | spl40_3 ),
    inference(avatar_split_clause,[],[f237,f249,f245,f254]) ).

tff(f259,definition,
    ( spl40_5
  <=> ( sK16(sK4,sK5,f__integer__(0)) = sK13(sK4,sK5,f__integer__(0)) ) ),
    introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).

tff(f261,plain,
    ( ( sK16(sK4,sK5,f__integer__(0)) = sK13(sK4,sK5,f__integer__(0)) )
    | ~ spl40_5 ),
    inference(avatar_component_clause,[],[f259]) ).

tff(f262,plain,
    ( spl40_2
    | spl40_3
    | spl40_5 ),
    inference(avatar_split_clause,[],[f235,f259,f249,f245]) ).

tff(f264,definition,
    ( spl40_6
  <=> ( sK4 = sK14(sK4,sK5,f__integer__(0)) ) ),
    introduced(definition,[new_symbols(definition,[spl40_6])],[avatar_definition]) ).

tff(f266,plain,
    ( ( sK4 = sK14(sK4,sK5,f__integer__(0)) )
    | ~ spl40_6 ),
    inference(avatar_component_clause,[],[f264]) ).

tff(f267,plain,
    ( spl40_3
    | spl40_2
    | spl40_6 ),
    inference(avatar_split_clause,[],[f234,f264,f245,f249]) ).

tff(f415,plain,
    ( ( sK4 = sK17(f__integer__(0),sK5,sK4) )
    | ~ spl40_3 ),
    inference(unit_resulting_resolution,[],[f144,f251]) ).

tff(f419,plain,
    ( ( sK23(f__integer__(0),sK5,sK4) = sK17(f__integer__(0),sK5,sK4) )
    | ~ spl40_3 ),
    inference(unit_resulting_resolution,[],[f148,f251]) ).

tff(f449,plain,
    ( ( sK23(f__integer__(0),sK5,sK4) = sK4 )
    | ~ spl40_3 ),
    inference(superposition,[],[f415,f419]) ).

tff(f450,plain,
    ( goto(sK4,sK22(f__integer__(0),sK5,sK4),sK24(f__integer__(0),sK5,sK4))
    | ~ sP1(f__integer__(0),sK5,sK4)
    | ~ spl40_3 ),
    inference(superposition,[],[f146,f449]) ).

tff(f451,plain,
    ( ~ sP1(f__integer__(0),sK5,sK4)
    | ~ spl40_3 ),
    inference(forward_subsumption_resolution,[],[f450,f226]) ).

tff(f452,plain,
    ( $false
    | ~ spl40_3 ),
    inference(forward_subsumption_resolution,[],[f451,f251]) ).

tff(f453,plain,
    ~ spl40_3,
    inference(avatar_contradiction_clause,[],[f452]) ).

tff(f602,plain,
    ( ( sK5 = sK16(sK4,sK5,f__integer__(0)) )
    | ~ spl40_1
    | ~ spl40_5 ),
    inference(forward_demodulation,[],[f261,f243]) ).

tff(f604,plain,
    ( in0(sK15(sK4,sK5,f__integer__(0)),sK16(sK4,sK5,f__integer__(0)))
    | spl40_2
    | spl40_3 ),
    inference(unit_resulting_resolution,[],[f139,f228,f250,f246]) ).

tff(f609,plain,
    ( in0(sK15(sK4,sK5,f__integer__(0)),sK5)
    | ~ spl40_1
    | spl40_2
    | spl40_3
    | ~ spl40_5 ),
    inference(forward_demodulation,[],[f604,f602]) ).

tff(f647,plain,
    ( ( sK4 = sK15(sK4,sK5,f__integer__(0)) )
    | ~ spl40_4
    | ~ spl40_6 ),
    inference(superposition,[],[f256,f266]) ).

tff(f654,plain,
    ( person(sK15(sK4,sK5,f__integer__(0)))
    | ~ spl40_1
    | spl40_2
    | spl40_3
    | ~ spl40_5 ),
    inference(resolution,[],[f609,f106]) ).

tff(f659,plain,
    ( person(sK4)
    | ~ spl40_1
    | spl40_2
    | spl40_3
    | ~ spl40_4
    | ~ spl40_5
    | ~ spl40_6 ),
    inference(forward_demodulation,[],[f654,f647]) ).

tff(f662,plain,
    ( $false
    | ~ spl40_1
    | spl40_2
    | spl40_3
    | ~ spl40_4
    | ~ spl40_5
    | ~ spl40_6 ),
    inference(forward_subsumption_resolution,[],[f659,f117]) ).

tff(f663,plain,
    ( ~ spl40_1
    | spl40_2
    | spl40_3
    | ~ spl40_4
    | ~ spl40_5
    | ~ spl40_6 ),
    inference(avatar_contradiction_clause,[],[f662]) ).

tff(f666,plain,
    ( ( sK34(sK5,f__integer__(0),sK4) = sK33(sK5,f__integer__(0),sK4) )
    | ~ spl40_2 ),
    inference(unit_resulting_resolution,[],[f154,f247]) ).

tff(f667,plain,
    ( ~ $less(sK35(sK5,f__integer__(0),sK4),sK36(sK5,f__integer__(0),sK4))
    | ~ spl40_2 ),
    inference(unit_resulting_resolution,[],[f155,f247]) ).

tff(f674,plain,
    ( ( sK25(sK5,f__integer__(0),sK4) = sK34(sK5,f__integer__(0),sK4) )
    | ~ spl40_2 ),
    inference(unit_resulting_resolution,[],[f162,f247]) ).

tff(f676,plain,
    ( ( 1 = sK32(sK5,f__integer__(0),sK4) )
    | ~ spl40_2 ),
    inference(unit_resulting_resolution,[],[f164,f247]) ).

tff(f687,plain,
    ( ( 0 = sK36(sK5,f__integer__(0),sK4) )
    | ~ spl40_2 ),
    inference(resolution,[],[f247,f156]) ).

tff(f688,plain,
    ( ( sK33(sK5,f__integer__(0),sK4) = f__integer__(sK35(sK5,f__integer__(0),sK4)) )
    | ~ spl40_2 ),
    inference(resolution,[],[f247,f158]) ).

tff(f693,plain,
    ( ( f__integer__(0) = f__integer__($sum(sK31(sK5,f__integer__(0),sK4),sK32(sK5,f__integer__(0),sK4))) )
    | ~ spl40_2 ),
    inference(resolution,[],[f247,f163]) ).

tff(f695,plain,
    ( ( sK25(sK5,f__integer__(0),sK4) = f__integer__(sK31(sK5,f__integer__(0),sK4)) )
    | ~ spl40_2 ),
    inference(resolution,[],[f247,f165]) ).

tff(f709,plain,
    ( ( sK34(sK5,f__integer__(0),sK4) = f__integer__(sK35(sK5,f__integer__(0),sK4)) )
    | ~ spl40_2 ),
    inference(forward_demodulation,[],[f666,f688]) ).

tff(f824,plain,
    ( p__less_equal__(f__integer__(sK36(sK5,f__integer__(0),sK4)),f__integer__(sK35(sK5,f__integer__(0),sK4)))
    | ~ spl40_2 ),
    inference(unit_resulting_resolution,[],[f133,f667]) ).

tff(f878,definition,
    ( spl40_24
  <=> $less(sK31(sK5,f__integer__(0),sK4),0) ),
    introduced(definition,[new_symbols(definition,[spl40_24])],[avatar_definition]) ).

tff(f879,plain,
    ( ~ $less(sK31(sK5,f__integer__(0),sK4),0)
    | spl40_24 ),
    inference(avatar_component_clause,[],[f878]) ).

tff(f880,plain,
    ( $less(sK31(sK5,f__integer__(0),sK4),0)
    | ~ spl40_24 ),
    inference(avatar_component_clause,[],[f878]) ).

tff(f904,plain,
    ( ( sK25(sK5,f__integer__(0),sK4) = f__integer__(sK35(sK5,f__integer__(0),sK4)) )
    | ~ spl40_2 ),
    inference(superposition,[],[f674,f709]) ).

tff(f911,plain,
    ( ( 0 = $sum(sK31(sK5,f__integer__(0),sK4),sK32(sK5,f__integer__(0),sK4)) )
    | ~ spl40_2 ),
    inference(unit_resulting_resolution,[],[f123,f693]) ).

tff(f931,plain,
    ( ( 0 = $sum(sK31(sK5,f__integer__(0),sK4),1) )
    | ~ spl40_2 ),
    inference(forward_demodulation,[],[f911,f676]) ).

tff(f942,plain,
    ( ( 0 = $sum(1,sK31(sK5,f__integer__(0),sK4)) )
    | ~ spl40_2 ),
    inference(forward_demodulation,[],[f931,f31]) ).

tff(f1249,plain,
    ( $less(0,$sum(sK31(sK5,f__integer__(0),sK4),1))
    | spl40_24 ),
    inference(unit_resulting_resolution,[],[f40,f879]) ).

tff(f1264,plain,
    ( $less(0,$sum(1,sK31(sK5,f__integer__(0),sK4)))
    | spl40_24 ),
    inference(forward_demodulation,[],[f1249,f31]) ).

tff(f1268,plain,
    ( $less(0,0)
    | ~ spl40_2
    | spl40_24 ),
    inference(forward_demodulation,[],[f1264,f942]) ).

tff(f1269,plain,
    ( $false
    | ~ spl40_2
    | spl40_24 ),
    inference(evaluation,[],[f1268]) ).

tff(f1270,plain,
    ( ~ spl40_2
    | spl40_24 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

tff(f1279,plain,
    ( ~ p__less_equal__(f__integer__(0),f__integer__(sK31(sK5,f__integer__(0),sK4)))
    | ~ spl40_24 ),
    inference(unit_resulting_resolution,[],[f134,f880]) ).

tff(f1294,plain,
    ( ~ p__less_equal__(f__integer__(0),sK25(sK5,f__integer__(0),sK4))
    | ~ spl40_2
    | ~ spl40_24 ),
    inference(forward_demodulation,[],[f1279,f695]) ).

tff(f1302,plain,
    ( p__less_equal__(f__integer__(0),f__integer__(sK35(sK5,f__integer__(0),sK4)))
    | ~ spl40_2 ),
    inference(forward_demodulation,[],[f824,f687]) ).

tff(f1330,plain,
    ( ~ p__less_equal__(f__integer__(0),f__integer__(sK35(sK5,f__integer__(0),sK4)))
    | ~ spl40_2
    | ~ spl40_24 ),
    inference(forward_demodulation,[],[f1294,f904]) ).

tff(f1341,plain,
    ( $false
    | ~ spl40_2
    | ~ spl40_24 ),
    inference(forward_subsumption_resolution,[],[f1330,f1302]) ).

tff(f1342,plain,
    ( ~ spl40_2
    | ~ spl40_24 ),
    inference(avatar_contradiction_clause,[],[f1341]) ).

cnf(s1,plain,
    ( spl40_1
    | spl40_2
    | spl40_3 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s2,plain,
    ( spl40_2
    | spl40_3
    | spl40_4 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s3,plain,
    ( spl40_2
    | spl40_3
    | spl40_5 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s4,plain,
    ( spl40_2
    | spl40_3
    | spl40_6 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s11,plain,
    ~ spl40_3,
    inference(sat_conversion,[],[f453]) ).

cnf(s25,plain,
    ( ~ spl40_1
    | spl40_2
    | spl40_3
    | ~ spl40_4
    | ~ spl40_5
    | ~ spl40_6 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s62,plain,
    ( ~ spl40_2
    | spl40_24 ),
    inference(sat_conversion,[],[f1270]) ).

cnf(s68,plain,
    ( ~ spl40_2
    | ~ spl40_24 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s73,plain,
    ( spl40_2
    | spl40_6 ),
    inference(rat,[],[s4,s11]) ).

cnf(s74,plain,
    ( spl40_2
    | spl40_5 ),
    inference(rat,[],[s3,s11]) ).

cnf(s75,plain,
    ( spl40_2
    | spl40_4 ),
    inference(rat,[],[s2,s11]) ).

cnf(s76,plain,
    ( spl40_1
    | spl40_2 ),
    inference(rat,[],[s1,s11]) ).

cnf(s77,plain,
    ~ spl40_2,
    inference(rat,[],[s62,s68]) ).

cnf(s78,plain,
    spl40_6,
    inference(rat,[],[s73,s77]) ).

cnf(s79,plain,
    spl40_5,
    inference(rat,[],[s74,s77]) ).

cnf(s80,plain,
    spl40_4,
    inference(rat,[],[s75,s77]) ).

cnf(s81,plain,
    spl40_1,
    inference(rat,[],[s76,s77]) ).

cnf(s82,plain,
    $false,
    inference(rat,[],[s25,s78,s79,s77,s11,s81,s80]) ).

tff(f1375,plain,
    $false,
    inference(avatar_sat_refutation,[],[s82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWX087_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n017.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 14:56:06 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  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
% 3.66/1.22  % (3613299)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.66/1.22  % (3613304)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1568495087:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.66/1.22  % (3613304)Refutation not found, incomplete strategy
% 3.66/1.22  % (3613304)------------------------------
% 3.66/1.22  % (3613304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.22  % (3613304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.22  % (3613304)CaDiCaL version: 2.1.3
% 3.66/1.22  % (3613304)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.22  % (3613304)Time elapsed: 0.019 s
% 3.66/1.22  % (3613304)Peak memory usage: 116 MB
% 3.66/1.22  % (3613304)Instructions burned: 10 (million)
% 3.66/1.22  % (3613305)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3725279097:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.66/1.22  % (3613309)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3325484190:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.66/1.22  % (3613308)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2162507330:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.66/1.22  % (3613307)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1184451099:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.66/1.22  % (3613306)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=314798756:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.66/1.22  % (3613310)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4125671679:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.66/1.22  % (3613308)Instruction limit reached! 
% 3.66/1.22  % (3613308)------------------------------
% 3.66/1.22  % (3613308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.22  % (3613308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.22  % (3613308)CaDiCaL version: 2.1.3
% 3.66/1.22  % (3613308)Termination reason: Instruction limit
% 3.66/1.22  % (3613308)Termination phase: Saturation
% 3.66/1.22  % (3613308)Time elapsed: 0.003 s
% 3.66/1.22  % (3613308)Peak memory usage: 87 MB
% 3.66/1.22  % (3613308)Instructions burned: 4 (million)
% 3.66/1.22  % (3613307)Instruction limit reached! 
% 3.66/1.22  % (3613307)------------------------------
% 3.66/1.22  % (3613307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.22  % (3613307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.22  % (3613307)CaDiCaL version: 2.1.3
% 3.66/1.22  % (3613307)Termination reason: Instruction limit
% 3.66/1.22  % (3613307)Termination phase: Saturation
% 3.66/1.22  % (3613307)Time elapsed: 0.005 s
% 3.66/1.22  % (3613307)Peak memory usage: 88 MB
% 3.66/1.22  % (3613307)Instructions burned: 7 (million)
% 3.66/1.22  % (3613310)Instruction limit reached! 
% 3.66/1.22  % (3613310)------------------------------
% 3.66/1.22  % (3613310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.22  % (3613310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.22  % (3613310)CaDiCaL version: 2.1.3
% 3.66/1.22  % (3613310)Termination reason: Instruction limit
% 3.66/1.22  % (3613310)Termination phase: Saturation
% 3.66/1.22  % (3613310)Time elapsed: 0.047 s
% 3.66/1.22  % (3613310)Peak memory usage: 116 MB
% 3.66/1.22  % (3613310)Instructions burned: 33 (million)
% 3.66/1.22  % (3613309)Instruction limit reached! 
% 3.66/1.22  % (3613309)------------------------------
% 3.66/1.22  % (3613309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.22  % (3613309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.22  % (3613309)CaDiCaL version: 2.1.3
% 3.66/1.22  % (3613309)Termination reason: Instruction limit
% 3.66/1.22  % (3613309)Termination phase: Saturation
% 3.66/1.22  % (3613309)Time elapsed: 0.055 s
% 3.66/1.22  % (3613309)Peak memory usage: 116 MB
% 3.66/1.22  % (3613309)Instructions burned: 46 (million)
% 3.66/1.22  % (3613304)------------------------------
% 3.66/1.22  % (3613304)------------------------------
% 3.66/1.22  % (3613306)Instruction limit reached! 
% 3.66/1.22  % (3613306)------------------------------
% 3.66/1.22  % (3613306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.22  % (3613306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.37  % (3613306)CaDiCaL version: 2.1.3
% 4.58/1.37  % (3613306)Termination reason: Instruction limit
% 4.58/1.37  % (3613306)Termination phase: Saturation
% 4.58/1.37  % (3613306)Time elapsed: 0.125 s
% 4.58/1.37  % (3613306)Peak memory usage: 116 MB
% 4.58/1.37  % (3613306)Instructions burned: 202 (million)
% 4.58/1.37  % (3613318)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3935044369:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.58/1.37  % (3613319)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1502090649:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.58/1.37  % (3613318)Instruction limit reached! 
% 4.58/1.37  % (3613318)------------------------------
% 4.58/1.37  % (3613318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.37  % (3613318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.37  % (3613318)CaDiCaL version: 2.1.3
% 4.58/1.37  % (3613318)Termination reason: Instruction limit
% 4.58/1.37  % (3613318)Termination phase: Saturation
% 4.58/1.37  % (3613318)Time elapsed: 0.011 s
% 4.58/1.37  % (3613318)Peak memory usage: 88 MB
% 4.58/1.37  % (3613318)Instructions burned: 15 (million)
% 4.58/1.37  % (3613319)Instruction limit reached! 
% 4.58/1.37  % (3613319)------------------------------
% 4.58/1.37  % (3613319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.37  % (3613319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.37  % (3613319)CaDiCaL version: 2.1.3
% 4.58/1.37  % (3613319)Termination reason: Instruction limit
% 4.58/1.37  % (3613319)Termination phase: Property scanning
% 4.58/1.37  % (3613319)Time elapsed: 0.012 s
% 4.58/1.37  % (3613319)Peak memory usage: 86 MB
% 4.58/1.37  % (3613319)Instructions burned: 30 (million)
% 4.58/1.37  % (3613320)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2817720168:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.58/1.37  % (3613305)Instruction limit reached! 
% 4.58/1.37  % (3613305)------------------------------
% 4.58/1.37  % (3613305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.37  % (3613305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.37  % (3613305)CaDiCaL version: 2.1.3
% 4.58/1.37  % (3613305)Termination reason: Instruction limit
% 4.58/1.37  % (3613305)Termination phase: Saturation
% 4.58/1.37  % (3613305)Time elapsed: 0.198 s
% 4.58/1.37  % (3613305)Peak memory usage: 117 MB
% 4.58/1.37  % (3613305)Instructions burned: 307 (million)
% 4.58/1.37  % (3613320)Instruction limit reached! 
% 4.58/1.37  % (3613320)------------------------------
% 4.58/1.37  % (3613320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.37  % (3613320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.37  % (3613320)CaDiCaL version: 2.1.3
% 4.58/1.37  % (3613320)Termination reason: Instruction limit
% 4.58/1.37  % (3613320)Termination phase: Saturation
% 4.58/1.37  % (3613320)Time elapsed: 0.011 s
% 4.58/1.37  % (3613320)Peak memory usage: 90 MB
% 4.58/1.37  % (3613320)Instructions burned: 16 (million)
% 4.58/1.37  % (3613321)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=838317456:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.58/1.37  % (3613322)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=861956057:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.58/1.37  % (3613322)Refutation not found, incomplete strategy
% 4.58/1.37  % (3613322)------------------------------
% 4.58/1.37  % (3613322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.37  % (3613322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.37  % (3613322)CaDiCaL version: 2.1.3
% 4.58/1.37  % (3613322)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.37  % (3613322)Time elapsed: 0.002 s
% 4.58/1.37  % (3613322)Peak memory usage: 89 MB
% 4.58/1.37  % (3613322)Instructions burned: 5 (million)
% 4.58/1.37  % (3613321)Instruction limit reached! 
% 4.58/1.37  % (3613321)------------------------------
% 4.58/1.37  % (3613321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.52  % (3613321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.52  % (3613321)CaDiCaL version: 2.1.3
% 5.38/1.52  % (3613321)Termination reason: Instruction limit
% 5.38/1.52  % (3613321)Termination phase: Saturation
% 5.38/1.52  % (3613321)Time elapsed: 0.020 s
% 5.38/1.52  % (3613321)Peak memory usage: 89 MB
% 5.38/1.52  % (3613321)Instructions burned: 25 (million)
% 5.38/1.52  % (3613323)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=158233154:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.38/1.52  % (3613326)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2836099754:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.38/1.52  % (3613327)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=782861571:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.38/1.52  % (3613326)Instruction limit reached! 
% 5.38/1.52  % (3613326)------------------------------
% 5.38/1.52  % (3613326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.52  % (3613326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.52  % (3613326)CaDiCaL version: 2.1.3
% 5.38/1.52  % (3613326)Termination reason: Instruction limit
% 5.38/1.52  % (3613326)Termination phase: Property scanning
% 5.38/1.52  % (3613326)Time elapsed: 0.002 s
% 5.38/1.52  % (3613326)Peak memory usage: 86 MB
% 5.38/1.52  % (3613326)Instructions burned: 2 (million)
% 5.38/1.52  % (3613327)Refutation not found, incomplete strategy
% 5.38/1.52  % (3613327)------------------------------
% 5.38/1.52  % (3613327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.52  % (3613327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.52  % (3613327)CaDiCaL version: 2.1.3
% 5.38/1.52  % (3613327)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.52  % (3613327)Time elapsed: 0.002 s
% 5.38/1.52  % (3613327)Peak memory usage: 89 MB
% 5.38/1.52  % (3613327)Instructions burned: 1 (million)
% 5.38/1.52  % (3613323)Instruction limit reached! 
% 5.38/1.52  % (3613323)------------------------------
% 5.38/1.52  % (3613323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.52  % (3613323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.52  % (3613323)CaDiCaL version: 2.1.3
% 5.38/1.52  % (3613323)Termination reason: Instruction limit
% 5.38/1.52  % (3613323)Termination phase: Saturation
% 5.38/1.52  % (3613323)Time elapsed: 0.043 s
% 5.38/1.52  % (3613323)Peak memory usage: 89 MB
% 5.38/1.52  % (3613323)Instructions burned: 85 (million)
% 5.38/1.52  % (3613330)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2010988915:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.38/1.52  % (3613331)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1611031672:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.38/1.52  % (3613330)Instruction limit reached! 
% 5.38/1.52  % (3613330)------------------------------
% 5.38/1.52  % (3613330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.52  % (3613330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.52  % (3613330)CaDiCaL version: 2.1.3
% 5.38/1.52  % (3613330)Termination reason: Instruction limit
% 5.38/1.52  % (3613330)Termination phase: Saturation
% 5.38/1.52  % (3613330)Time elapsed: 0.003 s
% 5.38/1.52  % (3613330)Peak memory usage: 87 MB
% 5.38/1.52  % (3613330)Instructions burned: 4 (million)
% 5.38/1.52  % (3613333)lrs+10_1_thi=all:si=on:fd=off:random_seed=1941574486:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.38/1.52  % (3613322)------------------------------
% 5.38/1.52  % (3613322)------------------------------
% 5.38/1.52  % (3613333)Instruction limit reached! 
% 5.38/1.52  % (3613333)------------------------------
% 5.38/1.52  % (3613333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.52  % (3613333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.52  % (3613333)CaDiCaL version: 2.1.3
% 5.38/1.52  % (3613333)Termination reason: Instruction limit
% 5.38/1.52  % (3613333)Termination phase: Saturation
% 5.38/1.52  % (3613333)Time elapsed: 0.064 s
% 5.38/1.52  % (3613333)Peak memory usage: 116 MB
% 5.38/1.52  % (3613333)Instructions burned: 54 (million)
% 5.38/1.52  % (3613331)Instruction limit reached! 
% 5.38/1.52  % (3613331)------------------------------
% 5.38/1.52  % (3613331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.72  % (3613331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.72  % (3613331)CaDiCaL version: 2.1.3
% 6.76/1.72  % (3613331)Termination reason: Instruction limit
% 6.76/1.72  % (3613331)Termination phase: Saturation
% 6.76/1.72  % (3613331)Time elapsed: 0.097 s
% 6.76/1.72  % (3613331)Peak memory usage: 134 MB
% 6.76/1.72  % (3613331)Instructions burned: 67 (million)
% 6.76/1.72  % (3613337)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3652416965:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 6.76/1.72  % (3613337)Instruction limit reached! 
% 6.76/1.72  % (3613337)------------------------------
% 6.76/1.72  % (3613337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.72  % (3613337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.72  % (3613337)CaDiCaL version: 2.1.3
% 6.76/1.72  % (3613337)Termination reason: Instruction limit
% 6.76/1.72  % (3613337)Termination phase: Saturation
% 6.76/1.72  % (3613337)Time elapsed: 0.006 s
% 6.76/1.72  % (3613337)Peak memory usage: 88 MB
% 6.76/1.72  % (3613337)Instructions burned: 8 (million)
% 6.76/1.72  % (3613340)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2704392885:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.76/1.72  % (3613340)Instruction limit reached! 
% 6.76/1.72  % (3613340)------------------------------
% 6.76/1.72  % (3613340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.72  % (3613340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.72  % (3613340)CaDiCaL version: 2.1.3
% 6.76/1.72  % (3613340)Termination reason: Instruction limit
% 6.76/1.72  % (3613340)Termination phase: Property scanning
% 6.76/1.72  % (3613340)Time elapsed: 0.002 s
% 6.76/1.72  % (3613340)Peak memory usage: 86 MB
% 6.76/1.72  % (3613340)Instructions burned: 2 (million)
% 6.76/1.72  % (3613341)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2977266963:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.76/1.72  % (3613341)Instruction limit reached! 
% 6.76/1.72  % (3613341)------------------------------
% 6.76/1.72  % (3613341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.72  % (3613341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.72  % (3613341)CaDiCaL version: 2.1.3
% 6.76/1.72  % (3613341)Termination reason: Instruction limit
% 6.76/1.72  % (3613341)Termination phase: Property scanning
% 6.76/1.72  % (3613341)Time elapsed: 0.002 s
% 6.76/1.72  % (3613341)Peak memory usage: 86 MB
% 6.76/1.72  % (3613341)Instructions burned: 2 (million)
% 6.76/1.72  % (3613343)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=398603783:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.76/1.72  % (3613343)Instruction limit reached! 
% 6.76/1.72  % (3613343)------------------------------
% 6.76/1.72  % (3613343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.72  % (3613343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.72  % (3613343)CaDiCaL version: 2.1.3
% 6.76/1.72  % (3613343)Termination reason: Instruction limit
% 6.76/1.72  % (3613343)Termination phase: Saturation
% 6.76/1.72  % (3613343)Time elapsed: 0.050 s
% 6.76/1.72  % (3613343)Peak memory usage: 116 MB
% 6.76/1.72  % (3613343)Instructions burned: 128 (million)
% 6.76/1.72  % (3613327)------------------------------
% 6.76/1.72  % (3613327)------------------------------
% 6.76/1.72  % (3613346)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2765616359:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.76/1.72  % (3613344)dis+10_1_si=on:random_seed=2431084151:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.76/1.72  % (3613346)Refutation not found, incomplete strategy
% 6.76/1.72  % (3613346)------------------------------
% 6.76/1.72  % (3613346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.72  % (3613346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.72  % (3613346)CaDiCaL version: 2.1.3
% 6.76/1.72  % (3613346)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.72  % (3613346)Time elapsed: 0.005 s
% 6.76/1.72  % (3613346)Peak memory usage: 88 MB
% 6.76/1.72  % (3613346)Instructions burned: 6 (million)
% 6.76/1.72  % (3613344)Instruction limit reached! 
% 8.09/1.96  % (3613344)------------------------------
% 8.09/1.96  % (3613344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/1.96  % (3613344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/1.96  % (3613344)CaDiCaL version: 2.1.3
% 8.09/1.96  % (3613344)Termination reason: Instruction limit
% 8.09/1.96  % (3613344)Termination phase: Saturation
% 8.09/1.96  % (3613344)Time elapsed: 0.008 s
% 8.09/1.96  % (3613344)Peak memory usage: 88 MB
% 8.09/1.96  % (3613344)Instructions burned: 10 (million)
% 8.09/1.96  % (3613347)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2973757889:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 8.09/1.96  % (3613352)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3223568984:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 8.09/1.96  % (3613349)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=78166767:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 8.09/1.96  % (3613349)Instruction limit reached! 
% 8.09/1.96  % (3613349)------------------------------
% 8.09/1.96  % (3613349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/1.96  % (3613349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/1.96  % (3613349)CaDiCaL version: 2.1.3
% 8.09/1.96  % (3613349)Termination reason: Instruction limit
% 8.09/1.96  % (3613349)Termination phase: Property scanning
% 8.09/1.96  % (3613349)Time elapsed: 0.002 s
% 8.09/1.96  % (3613349)Peak memory usage: 86 MB
% 8.09/1.96  % (3613349)Instructions burned: 2 (million)
% 8.09/1.96  % (3613352)Instruction limit reached! 
% 8.09/1.96  % (3613352)------------------------------
% 8.09/1.96  % (3613352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/1.96  % (3613352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/1.96  % (3613352)CaDiCaL version: 2.1.3
% 8.09/1.96  % (3613352)Termination reason: Instruction limit
% 8.09/1.96  % (3613352)Termination phase: Saturation
% 8.09/1.96  % (3613352)Time elapsed: 0.007 s
% 8.09/1.96  % (3613352)Peak memory usage: 89 MB
% 8.09/1.96  % (3613352)Instructions burned: 9 (million)
% 8.09/1.96  % (3613353)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1948197795:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 8.09/1.96  % (3613353)Refutation not found, incomplete strategy
% 8.09/1.96  % (3613353)------------------------------
% 8.09/1.96  % (3613353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/1.96  % (3613353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/1.96  % (3613353)CaDiCaL version: 2.1.3
% 8.09/1.96  % (3613353)Termination reason: Refutation not found, incomplete strategy
% 8.09/1.96  % (3613353)Time elapsed: 0.002 s
% 8.09/1.96  % (3613353)Peak memory usage: 88 MB
% 8.09/1.96  % (3613353)Instructions burned: 5 (million)
% 8.09/1.96  % (3613347)Instruction limit reached! 
% 8.09/1.96  % (3613347)------------------------------
% 8.09/1.96  % (3613347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/1.96  % (3613347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/1.96  % (3613347)CaDiCaL version: 2.1.3
% 8.09/1.96  % (3613347)Termination reason: Instruction limit
% 8.09/1.96  % (3613347)Termination phase: Saturation
% 8.09/1.96  % (3613347)Time elapsed: 0.029 s
% 8.09/1.96  % (3613347)Peak memory usage: 89 MB
% 8.09/1.96  % (3613347)Instructions burned: 35 (million)
% 8.09/1.96  % (3613356)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1838671703:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/13Mi)
% 8.09/1.96  % (3613358)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2202235204:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 8.09/1.96  % (3613361)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=4144389309:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 8.09/1.96  % (3613356)Instruction limit reached! 
% 8.09/1.96  % (3613356)------------------------------
% 8.09/1.96  % (3613356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/1.96  % (3613356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.03  % (3613356)CaDiCaL version: 2.1.3
% 8.72/2.03  % (3613356)Termination reason: Instruction limit
% 8.72/2.03  % (3613356)Termination phase: Saturation
% 8.72/2.03  % (3613356)Time elapsed: 0.029 s
% 8.72/2.03  % (3613356)Peak memory usage: 112 MB
% 8.72/2.03  % (3613356)Instructions burned: 13 (million)
% 8.72/2.03  % (3613361)Instruction limit reached! 
% 8.72/2.03  % (3613361)------------------------------
% 8.72/2.03  % (3613361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.03  % (3613361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.03  % (3613361)CaDiCaL version: 2.1.3
% 8.72/2.03  % (3613361)Termination reason: Instruction limit
% 8.72/2.03  % (3613361)Termination phase: Saturation
% 8.72/2.03  % (3613361)Time elapsed: 0.009 s
% 8.72/2.03  % (3613361)Peak memory usage: 88 MB
% 8.72/2.03  % (3613361)Instructions burned: 11 (million)
% 8.72/2.03  % (3613358)Refutation not found, incomplete strategy
% 8.72/2.03  % (3613358)------------------------------
% 8.72/2.03  % (3613358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613358)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613358)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.04  % (3613358)Time elapsed: 0.029 s
% 8.72/2.04  % (3613358)Peak memory usage: 115 MB
% 8.72/2.04  % (3613358)Instructions burned: 7 (million)
% 8.72/2.04  % (3613362)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1722026575:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 8.72/2.04  % (3613364)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=2815082342:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 8.72/2.04  % (3613353)------------------------------
% 8.72/2.04  % (3613353)------------------------------
% 8.72/2.04  % (3613364)Instruction limit reached! 
% 8.72/2.04  % (3613364)------------------------------
% 8.72/2.04  % (3613364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613364)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613364)Termination reason: Instruction limit
% 8.72/2.04  % (3613364)Termination phase: Saturation
% 8.72/2.04  % (3613364)Time elapsed: 0.060 s
% 8.72/2.04  % (3613364)Peak memory usage: 90 MB
% 8.72/2.04  % (3613364)Instructions burned: 76 (million)
% 8.72/2.04  % (3613346)------------------------------
% 8.72/2.04  % (3613346)------------------------------
% 8.72/2.04  % (3613362)Instruction limit reached! 
% 8.72/2.04  % (3613362)------------------------------
% 8.72/2.04  % (3613362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613362)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613362)Termination reason: Instruction limit
% 8.72/2.04  % (3613362)Termination phase: Saturation
% 8.72/2.04  % (3613362)Time elapsed: 0.098 s
% 8.72/2.04  % (3613362)Peak memory usage: 133 MB
% 8.72/2.04  % (3613362)Instructions burned: 71 (million)
% 8.72/2.04  % (3613372)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=369085468:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 8.72/2.04  % (3613370)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3949963494:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 8.72/2.04  % (3613368)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=4170257437:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 8.72/2.04  % (3613372)Instruction limit reached! 
% 8.72/2.04  % (3613372)------------------------------
% 8.72/2.04  % (3613372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613372)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613372)Termination reason: Instruction limit
% 8.72/2.04  % (3613372)Termination phase: Saturation
% 8.72/2.04  % (3613372)Time elapsed: 0.076 s
% 8.72/2.04  % (3613372)Peak memory usage: 134 MB
% 8.72/2.04  % (3613372)Instructions burned: 134 (million)
% 8.72/2.04  % (3613370)Instruction limit reached! 
% 8.72/2.04  % (3613370)------------------------------
% 8.72/2.04  % (3613370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613370)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613370)Termination reason: Instruction limit
% 8.72/2.04  % (3613370)Termination phase: Saturation
% 8.72/2.04  % (3613370)Time elapsed: 0.079 s
% 8.72/2.04  % (3613370)Peak memory usage: 113 MB
% 8.72/2.04  % (3613370)Instructions burned: 130 (million)
% 8.72/2.04  % (3613373)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=588299374:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 8.72/2.04  % (3613374)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=4284548092:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 8.72/2.04  % (3613375)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1792216696:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 8.72/2.04  % (3613358)------------------------------
% 8.72/2.04  % (3613358)------------------------------
% 8.72/2.04  % (3613374)First to succeed.
% 8.72/2.04  % (3613374)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3613299"
% 8.72/2.04  % (3613373)Instruction limit reached! 
% 8.72/2.04  % (3613373)------------------------------
% 8.72/2.04  % (3613373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613373)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613373)Termination reason: Instruction limit
% 8.72/2.04  % (3613373)Termination phase: Saturation
% 8.72/2.04  % (3613373)Time elapsed: 0.071 s
% 8.72/2.04  % (3613373)Peak memory usage: 134 MB
% 8.72/2.04  % (3613373)Instructions burned: 41 (million)
% 8.72/2.04  % (3613368)Instruction limit reached! 
% 8.72/2.04  % (3613368)------------------------------
% 8.72/2.04  % (3613368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613368)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613368)Termination reason: Instruction limit
% 8.72/2.04  % (3613368)Termination phase: Saturation
% 8.72/2.04  % (3613368)Time elapsed: 0.187 s
% 8.72/2.04  % (3613368)Peak memory usage: 90 MB
% 8.72/2.04  % (3613368)Instructions burned: 295 (million)
% 8.72/2.04  % (3613379)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=3503811170:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 8.72/2.04  % (3613381)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=3036000758:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2989 on theBenchmark for (2989ds/259Mi)
% 8.72/2.04  % (3613381)Refutation not found, incomplete strategy
% 8.72/2.04  % (3613381)------------------------------
% 8.72/2.04  % (3613381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613381)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613381)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.04  % (3613381)Time elapsed: 0.028 s
% 8.72/2.04  % (3613381)Peak memory usage: 115 MB
% 8.72/2.04  % (3613381)Instructions burned: 7 (million)
% 8.72/2.04  % (3613384)dis+10_1_si=on:random_seed=2081481190:s2a=on:i=1000:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/1000Mi)
% 8.72/2.04  % (3613385)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=2085758906:i=383:fsr=off:rtra=on:ev=force_2988 on theBenchmark for (2988ds/383Mi)
% 8.72/2.04  % (3613379)Instruction limit reached! 
% 8.72/2.04  % (3613379)------------------------------
% 8.72/2.04  % (3613379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.04  % (3613379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.04  % (3613379)CaDiCaL version: 2.1.3
% 8.72/2.04  % (3613379)Termination reason: Instruction limit
% 8.72/2.04  % (3613379)Termination phase: Saturation
% 8.72/2.04  % (3613379)Time elapsed: 0.095 s
% 8.72/2.04  % (3613379)Peak memory usage: 117 MB
% 8.72/2.04  % (3613379)Instructions burned: 132 (million)
% 8.72/2.04  % (3613386)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=2931439630:i=141:doe=on:rtra=on_2988 on theBenchmark for (2988ds/141Mi)
% 8.72/2.04  % (3613374)Refutation found. Thanks to Tanya!
% 8.72/2.04  % SZS status Theorem for theBenchmark
% 8.72/2.04  % SZS output start Proof for theBenchmark
% See solution above
% 10.31/2.23  % (3613374)------------------------------
% 10.31/2.23  % (3613374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.31/2.23  % (3613374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/2.23  % (3613374)CaDiCaL version: 2.1.3
% 10.31/2.23  % (3613374)Termination reason: Refutation
% 10.31/2.23  % (3613374)Time elapsed: 0.035 s
% 10.31/2.23  % (3613374)Peak memory usage: 91 MB
% 10.31/2.23  % (3613374)Instructions burned: 52 (million)
% 10.31/2.23  % (3613374)------------------------------
% 10.31/2.23  % (3613374)------------------------------
% 10.31/2.23  % (3613299)Success in time 1.375 s
% 10.31/2.23  % Vampire exiting
%------------------------------------------------------------------------------