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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM859_1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 12:17:18 PM UTC 2026

% Result   : Theorem 12.53s 2.80s
% Output   : Refutation 13.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  190 (   1 unt;   0 typ;  31 def)
%            Number of atoms       :  542 (   6 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  574 ( 222   ~; 244   |;  53   &)
%                                         (  49 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  381 ( 153 atm;   0 fun;   0 num; 228 var)
%            Number of types       :    2 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   40 (  36 usr;  32 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :  228 ( 209   !;  19   ?; 228   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    summation: $int > $int ).

tff(func_def_1,type,
    max: ( $int * $int ) > $int ).

tff(func_def_2,type,
    sK0: ( $int * $int * $int ) > $int ).

tff(func_def_3,type,
    sK1: ( $int * $int * $int ) > $int ).

tff(func_def_4,type,
    sK2: $int ).

tff(func_def_5,type,
    sK3: $int ).

tff(func_def_6,type,
    sK4: $int ).

tff(func_def_7,type,
    sK5: ( $int * $int * $int ) > $int ).

tff(func_def_9,type,
    '$inst7': $int ).

tff(func_def_10,type,
    '$inst8': $int ).

tff(func_def_13,type,
    '$inst9': $int ).

tff(func_def_15,type,
    '$inst10': $int ).

tff(pred_def_1,type,
    ub: ( $int * $int * $int ) > $o ).

tff(pred_def_2,type,
    model_max: ( $int * $int * $int ) > $o ).

tff(pred_def_3,type,
    model_ub: ( $int * $int * $int ) > $o ).

tff(pred_def_4,type,
    minsol_model_max: ( $int * $int * $int ) > $o ).

tff(pred_def_5,type,
    minsol_model_ub: ( $int * $int * $int ) > $o ).

tff(f2,axiom,
    ! [X0: $int,X1: $int] :
      ( ~ $lesseq(X1,X0)
      | ( max(X0,X1) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).

tff(f3,axiom,
    ! [X0: $int,X1: $int] :
      ( ( max(X0,X1) = X1 )
      | ~ $lesseq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).

tff(f4,axiom,
    ! [X0: $int,X2: $int,X1: $int] :
      ( ( $lesseq(X0,X2)
        & $lesseq(X1,X2) )
    <=> ub(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).

tff(f5,axiom,
    ! [X1: $int,X2: $int,X0: $int] :
      ( $lesseq(max(X0,X1),X2)
    <=> model_max(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_2) ).

tff(f6,axiom,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ? [X3: $int] :
          ( $lesseq(X3,X2)
          & ub(X0,X1,X3) )
    <=> model_ub(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_2) ).

tff(f7,axiom,
    ! [X0: $int,X2: $int,X1: $int] :
      ( ( model_max(X0,X1,X2)
        & ! [X3: $int] :
            ( model_max(X0,X1,X3)
           => $lesseq(X2,X3) ) )
    <=> minsol_model_max(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).

tff(f8,axiom,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ! [X3: $int] :
            ( model_ub(X0,X1,X3)
           => $lesseq(X2,X3) )
        & model_ub(X0,X1,X2) )
    <=> minsol_model_ub(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).

tff(f9,conjecture,
    ! [X2: $int,X1: $int,X0: $int] :
      ( minsol_model_ub(X0,X1,X2)
    <=> minsol_model_max(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).

tff(f10,negated_conjecture,
    ~ ! [X2: $int,X1: $int,X0: $int] :
        ( minsol_model_ub(X0,X1,X2)
      <=> minsol_model_max(X0,X1,X2) ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

tff(f11,plain,
    ! [X1: $int,X0: $int,X2: $int] :
      ( ( model_ub(X0,X1,X2)
        & ! [X3: $int] :
            ( model_ub(X0,X1,X3)
           => ~ $less(X3,X2) ) )
    <=> minsol_model_ub(X0,X1,X2) ),
    inference(theory_normalization,[],[f8]) ).

tff(f12,plain,
    ! [X0: $int,X2: $int,X1: $int] :
      ( ( ~ $less(X2,X0)
        & ~ $less(X2,X1) )
    <=> ub(X0,X1,X2) ),
    inference(theory_normalization,[],[f4]) ).

tff(f14,plain,
    ! [X0: $int,X1: $int] :
      ( ( max(X0,X1) = X0 )
      | $less(X0,X1) ),
    inference(theory_normalization,[],[f2]) ).

tff(f15,plain,
    ! [X1: $int,X2: $int,X0: $int] :
      ( ~ $less(X2,max(X0,X1))
    <=> model_max(X0,X1,X2) ),
    inference(theory_normalization,[],[f5]) ).

tff(f16,plain,
    ! [X1: $int,X0: $int,X2: $int] :
      ( ? [X3: $int] :
          ( ~ $less(X2,X3)
          & ub(X0,X1,X3) )
    <=> model_ub(X0,X1,X2) ),
    inference(theory_normalization,[],[f6]) ).

tff(f17,plain,
    ! [X0: $int,X2: $int,X1: $int] :
      ( ( model_max(X0,X1,X2)
        & ! [X3: $int] :
            ( model_max(X0,X1,X3)
           => ~ $less(X3,X2) ) )
    <=> minsol_model_max(X0,X1,X2) ),
    inference(theory_normalization,[],[f7]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | ( max(X0,X1) = X1 ) ),
    inference(theory_normalization,[],[f3]) ).

tff(f19,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ub(X0,X2,X1)
    <=> ( ~ $less(X1,X2)
        & ~ $less(X1,X0) ) ),
    inference(rectify,[],[f12]) ).

tff(f20,plain,
    ~ ! [X2: $int,X1: $int,X0: $int] :
        ( minsol_model_ub(X2,X1,X0)
      <=> minsol_model_max(X2,X1,X0) ),
    inference(rectify,[],[f10]) ).

tff(f22,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( model_max(X2,X0,X1)
    <=> ~ $less(X1,max(X2,X0)) ),
    inference(rectify,[],[f15]) ).

tff(f23,plain,
    ! [X0: $int,X2: $int,X1: $int] :
      ( minsol_model_max(X0,X2,X1)
    <=> ( ! [X3: $int] :
            ( model_max(X0,X2,X3)
           => ~ $less(X3,X1) )
        & model_max(X0,X2,X1) ) ),
    inference(rectify,[],[f17]) ).

tff(f24,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( model_ub(X0,X1,X2)
        & ! [X3: $int] :
            ( ~ model_ub(X0,X1,X3)
            | ~ $less(X3,X2) ) )
    <=> minsol_model_ub(X0,X1,X2) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f25,plain,
    ? [X2: $int,X1: $int,X0: $int] :
      ( minsol_model_max(X2,X1,X0)
    <~> minsol_model_ub(X2,X1,X0) ),
    inference(ennf_transformation,[],[f20]) ).

tff(f26,plain,
    ! [X2: $int,X1: $int,X0: $int] :
      ( minsol_model_max(X0,X2,X1)
    <=> ( model_max(X0,X2,X1)
        & ! [X3: $int] :
            ( ~ $less(X3,X1)
            | ~ model_max(X0,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f23]) ).

tff(f27,plain,
    ! [X2: $int,X1: $int,X0: $int] :
      ( ( minsol_model_max(X0,X2,X1)
        | ~ model_max(X0,X2,X1)
        | ? [X3: $int] :
            ( $less(X3,X1)
            & model_max(X0,X2,X3) ) )
      & ( ( model_max(X0,X2,X1)
          & ! [X3: $int] :
              ( ~ $less(X3,X1)
              | ~ model_max(X0,X2,X3) ) )
        | ~ minsol_model_max(X0,X2,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

tff(f28,plain,
    ! [X2: $int,X1: $int,X0: $int] :
      ( ( minsol_model_max(X0,X2,X1)
        | ~ model_max(X0,X2,X1)
        | ? [X3: $int] :
            ( $less(X3,X1)
            & model_max(X0,X2,X3) ) )
      & ( ( model_max(X0,X2,X1)
          & ! [X3: $int] :
              ( ~ $less(X3,X1)
              | ~ model_max(X0,X2,X3) ) )
        | ~ minsol_model_max(X0,X2,X1) ) ),
    inference(flattening,[],[f27]) ).

tff(f29,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( minsol_model_max(X2,X0,X1)
        | ~ model_max(X2,X0,X1)
        | ? [X3: $int] :
            ( $less(X3,X1)
            & model_max(X2,X0,X3) ) )
      & ( ( model_max(X2,X0,X1)
          & ! [X4: $int] :
              ( ~ $less(X4,X1)
              | ~ model_max(X2,X0,X4) ) )
        | ~ minsol_model_max(X2,X0,X1) ) ),
    inference(rectify,[],[f28]) ).

tff(f30,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( minsol_model_max(X2,X0,X1)
        | ~ model_max(X2,X0,X1)
        | ( $less(sK0(X0,X1,X2),X1)
          & model_max(X2,X0,sK0(X0,X1,X2)) ) )
      & ( ( model_max(X2,X0,X1)
          & ! [X4: $int] :
              ( ~ $less(X4,X1)
              | ~ model_max(X2,X0,X4) ) )
        | ~ minsol_model_max(X2,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f29]) ).

tff(f33,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ( ub(X0,X2,X1)
        | $less(X1,X2)
        | $less(X1,X0) )
      & ( ( ~ $less(X1,X2)
          & ~ $less(X1,X0) )
        | ~ ub(X0,X2,X1) ) ),
    inference(nnf_transformation,[],[f19]) ).

tff(f34,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ( ub(X0,X2,X1)
        | $less(X1,X2)
        | $less(X1,X0) )
      & ( ( ~ $less(X1,X2)
          & ~ $less(X1,X0) )
        | ~ ub(X0,X2,X1) ) ),
    inference(flattening,[],[f33]) ).

tff(f35,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ub(X1,X0,X2)
        | $less(X2,X0)
        | $less(X2,X1) )
      & ( ( ~ $less(X2,X0)
          & ~ $less(X2,X1) )
        | ~ ub(X1,X0,X2) ) ),
    inference(rectify,[],[f34]) ).

tff(f36,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ( model_max(X2,X0,X1)
        | $less(X1,max(X2,X0)) )
      & ( ~ $less(X1,max(X2,X0))
        | ~ model_max(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f22]) ).

tff(f37,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( model_max(X0,X1,X2)
        | $less(X2,max(X0,X1)) )
      & ( ~ $less(X2,max(X0,X1))
        | ~ model_max(X0,X1,X2) ) ),
    inference(rectify,[],[f36]) ).

tff(f38,plain,
    ! [X1: $int,X0: $int,X2: $int] :
      ( ( ? [X3: $int] :
            ( ~ $less(X2,X3)
            & ub(X0,X1,X3) )
        | ~ model_ub(X0,X1,X2) )
      & ( model_ub(X0,X1,X2)
        | ! [X3: $int] :
            ( $less(X2,X3)
            | ~ ub(X0,X1,X3) ) ) ),
    inference(nnf_transformation,[],[f16]) ).

tff(f39,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ? [X3: $int] :
            ( ~ $less(X2,X3)
            & ub(X1,X0,X3) )
        | ~ model_ub(X1,X0,X2) )
      & ( model_ub(X1,X0,X2)
        | ! [X4: $int] :
            ( $less(X2,X4)
            | ~ ub(X1,X0,X4) ) ) ),
    inference(rectify,[],[f38]) ).

tff(f40,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ( ~ $less(X2,sK1(X0,X1,X2))
          & ub(X1,X0,sK1(X0,X1,X2)) )
        | ~ model_ub(X1,X0,X2) )
      & ( model_ub(X1,X0,X2)
        | ! [X4: $int] :
            ( $less(X2,X4)
            | ~ ub(X1,X0,X4) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f39]) ).

tff(f41,plain,
    ? [X2: $int,X1: $int,X0: $int] :
      ( ( ~ minsol_model_ub(X2,X1,X0)
        | ~ minsol_model_max(X2,X1,X0) )
      & ( minsol_model_ub(X2,X1,X0)
        | minsol_model_max(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f25]) ).

tff(f42,plain,
    ? [X0: $int,X1: $int,X2: $int] :
      ( ( ~ minsol_model_ub(X0,X1,X2)
        | ~ minsol_model_max(X0,X1,X2) )
      & ( minsol_model_ub(X0,X1,X2)
        | minsol_model_max(X0,X1,X2) ) ),
    inference(rectify,[],[f41]) ).

tff(f43,plain,
    ( ( ~ minsol_model_ub(sK2,sK3,sK4)
      | ~ minsol_model_max(sK2,sK3,sK4) )
    & ( minsol_model_ub(sK2,sK3,sK4)
      | minsol_model_max(sK2,sK3,sK4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f42]) ).

tff(f44,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ( model_ub(X0,X1,X2)
          & ! [X3: $int] :
              ( ~ model_ub(X0,X1,X3)
              | ~ $less(X3,X2) ) )
        | ~ minsol_model_ub(X0,X1,X2) )
      & ( minsol_model_ub(X0,X1,X2)
        | ~ model_ub(X0,X1,X2)
        | ? [X3: $int] :
            ( model_ub(X0,X1,X3)
            & $less(X3,X2) ) ) ),
    inference(nnf_transformation,[],[f24]) ).

tff(f45,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ( model_ub(X0,X1,X2)
          & ! [X3: $int] :
              ( ~ model_ub(X0,X1,X3)
              | ~ $less(X3,X2) ) )
        | ~ minsol_model_ub(X0,X1,X2) )
      & ( minsol_model_ub(X0,X1,X2)
        | ~ model_ub(X0,X1,X2)
        | ? [X3: $int] :
            ( model_ub(X0,X1,X3)
            & $less(X3,X2) ) ) ),
    inference(flattening,[],[f44]) ).

tff(f46,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ( model_ub(X0,X1,X2)
          & ! [X3: $int] :
              ( ~ model_ub(X0,X1,X3)
              | ~ $less(X3,X2) ) )
        | ~ minsol_model_ub(X0,X1,X2) )
      & ( minsol_model_ub(X0,X1,X2)
        | ~ model_ub(X0,X1,X2)
        | ? [X4: $int] :
            ( model_ub(X0,X1,X4)
            & $less(X4,X2) ) ) ),
    inference(rectify,[],[f45]) ).

tff(f47,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( ( ( model_ub(X0,X1,X2)
          & ! [X3: $int] :
              ( ~ model_ub(X0,X1,X3)
              | ~ $less(X3,X2) ) )
        | ~ minsol_model_ub(X0,X1,X2) )
      & ( minsol_model_ub(X0,X1,X2)
        | ~ model_ub(X0,X1,X2)
        | ( model_ub(X0,X1,sK5(X0,X1,X2))
          & $less(sK5(X0,X1,X2),X2) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X1,X2))],[f46]) ).

tff(f48,plain,
    ! [X2: $int,X0: $int,X1: $int,X4: $int] :
      ( ~ minsol_model_max(X2,X0,X1)
      | ~ $less(X4,X1)
      | ~ model_max(X2,X0,X4) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f49,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ minsol_model_max(X2,X0,X1)
      | model_max(X2,X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f50,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( model_max(X2,X0,sK0(X0,X1,X2))
      | ~ model_max(X2,X0,X1)
      | minsol_model_max(X2,X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f51,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(sK0(X0,X1,X2),X1)
      | ~ model_max(X2,X0,X1)
      | minsol_model_max(X2,X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f52,plain,
    ! [X0: $int,X1: $int] :
      ( ( max(X0,X1) = X0 )
      | $less(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

tff(f55,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ ub(X1,X0,X2)
      | ~ $less(X2,X1) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f56,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ ub(X1,X0,X2)
      | ~ $less(X2,X0) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f57,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ub(X1,X0,X2)
      | $less(X2,X1)
      | $less(X2,X0) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f58,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X2,max(X0,X1))
      | ~ model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f59,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X2,max(X0,X1))
      | model_max(X0,X1,X2) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f60,plain,
    ! [X2: $int,X0: $int,X1: $int,X4: $int] :
      ( ~ ub(X1,X0,X4)
      | model_ub(X1,X0,X2)
      | $less(X2,X4) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f61,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ub(X1,X0,sK1(X0,X1,X2))
      | ~ model_ub(X1,X0,X2) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f62,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X2,sK1(X0,X1,X2))
      | ~ model_ub(X1,X0,X2) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f63,plain,
    ! [X0: $int,X1: $int] :
      ( ( max(X0,X1) = X1 )
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f64,plain,
    ( minsol_model_ub(sK2,sK3,sK4)
    | minsol_model_max(sK2,sK3,sK4) ),
    inference(cnf_transformation,[],[f43]) ).

tff(f65,plain,
    ( ~ minsol_model_ub(sK2,sK3,sK4)
    | ~ minsol_model_max(sK2,sK3,sK4) ),
    inference(cnf_transformation,[],[f43]) ).

tff(f66,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(sK5(X0,X1,X2),X2)
      | minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f47]) ).

tff(f67,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( model_ub(X0,X1,sK5(X0,X1,X2))
      | ~ model_ub(X0,X1,X2)
      | minsol_model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f47]) ).

tff(f68,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ~ minsol_model_ub(X0,X1,X2)
      | ~ model_ub(X0,X1,X3)
      | ~ $less(X3,X2) ),
    inference(cnf_transformation,[],[f47]) ).

tff(f69,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ minsol_model_ub(X0,X1,X2)
      | model_ub(X0,X1,X2) ),
    inference(cnf_transformation,[],[f47]) ).

tff(f71,definition,
    ( spl6_1
  <=> minsol_model_ub(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

tff(f72,plain,
    ( ~ minsol_model_ub(sK2,sK3,sK4)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f71]) ).

tff(f73,plain,
    ( minsol_model_ub(sK2,sK3,sK4)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f71]) ).

tff(f75,definition,
    ( spl6_2
  <=> minsol_model_max(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

tff(f76,plain,
    ( ~ minsol_model_max(sK2,sK3,sK4)
    | spl6_2 ),
    inference(avatar_component_clause,[],[f75]) ).

tff(f77,plain,
    ( minsol_model_max(sK2,sK3,sK4)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f75]) ).

tff(f78,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f64,f75,f71]) ).

tff(f79,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f65,f75,f71]) ).

tff(f81,plain,
    ( model_ub(sK2,sK3,sK4)
    | ~ spl6_1 ),
    inference(resolution,[],[f69,f73]) ).

tff(f83,definition,
    ( spl6_3
  <=> model_ub(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

tff(f84,plain,
    ( ~ model_ub(sK2,sK3,sK4)
    | spl6_3 ),
    inference(avatar_component_clause,[],[f83]) ).

tff(f85,plain,
    ( model_ub(sK2,sK3,sK4)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f83]) ).

tff(f86,plain,
    ( spl6_3
    | ~ spl6_1 ),
    inference(avatar_split_clause,[],[f81,f71,f83]) ).

tff(f94,definition,
    ( spl6_4
  <=> $less(sK4,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

tff(f137,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ model_max(X2,X0,X1)
      | $less(X0,X2)
      | ~ $less(X1,X0) ),
    inference(superposition,[],[f58,f63]) ).

tff(f138,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ model_max(X0,X2,X1)
      | $less(X0,X2)
      | ~ $less(X1,X0) ),
    inference(superposition,[],[f58,f52]) ).

tff(f140,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( model_max(X2,X0,X1)
      | $less(X0,X2)
      | $less(X1,X0) ),
    inference(superposition,[],[f59,f63]) ).

tff(f141,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( model_max(X0,X2,X1)
      | $less(X0,X2)
      | $less(X1,X0) ),
    inference(superposition,[],[f59,f52]) ).

tff(f153,plain,
    ( ~ $less(sK4,sK1(sK3,sK2,sK4))
    | ~ spl6_3 ),
    inference(unit_resulting_resolution,[],[f62,f85]) ).

tff(f155,definition,
    ( spl6_9
  <=> $less(sK4,sK1(sK3,sK2,sK4)) ),
    introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).

tff(f158,plain,
    ( ~ spl6_9
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f153,f83,f155]) ).

tff(f186,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( model_ub(X0,X1,X2)
      | $less(X2,X3)
      | $less(X3,X0)
      | $less(X3,X1) ),
    inference(resolution,[],[f60,f57]) ).

tff(f187,plain,
    ( ub(sK2,sK3,sK1(sK3,sK2,sK4))
    | ~ spl6_3 ),
    inference(unit_resulting_resolution,[],[f61,f85]) ).

tff(f189,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(sK1(X1,X0,X2),X1)
      | ~ model_ub(X0,X1,X2) ),
    inference(resolution,[],[f61,f56]) ).

tff(f190,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(sK1(X1,X0,X2),X0)
      | ~ model_ub(X0,X1,X2) ),
    inference(resolution,[],[f61,f55]) ).

tff(f192,definition,
    ( spl6_14
  <=> ub(sK2,sK3,sK1(sK3,sK2,sK4)) ),
    introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).

tff(f194,plain,
    ( ub(sK2,sK3,sK1(sK3,sK2,sK4))
    | ~ spl6_14 ),
    inference(avatar_component_clause,[],[f192]) ).

tff(f195,plain,
    ( spl6_14
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f187,f83,f192]) ).

tff(f197,plain,
    ( ~ $less(sK1(sK3,sK2,sK4),sK3)
    | ~ spl6_14 ),
    inference(unit_resulting_resolution,[],[f56,f194]) ).

tff(f198,plain,
    ( ~ $less(sK1(sK3,sK2,sK4),sK2)
    | ~ spl6_14 ),
    inference(unit_resulting_resolution,[],[f55,f194]) ).

tff(f203,definition,
    ( spl6_15
  <=> $less(sK1(sK3,sK2,sK4),sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).

tff(f206,plain,
    ( ~ spl6_15
    | ~ spl6_14 ),
    inference(avatar_split_clause,[],[f198,f192,f203]) ).

tff(f208,definition,
    ( spl6_16
  <=> $less(sK1(sK3,sK2,sK4),sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).

tff(f211,plain,
    ( ~ spl6_16
    | ~ spl6_14 ),
    inference(avatar_split_clause,[],[f197,f192,f208]) ).

tff(f239,plain,
    ( model_max(sK2,sK3,sK4)
    | ~ spl6_2 ),
    inference(resolution,[],[f77,f49]) ).

tff(f241,definition,
    ( spl6_21
  <=> model_max(sK2,sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).

tff(f243,plain,
    ( model_max(sK2,sK3,sK4)
    | ~ spl6_21 ),
    inference(avatar_component_clause,[],[f241]) ).

tff(f244,plain,
    ( spl6_21
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f239,f75,f241]) ).

tff(f325,plain,
    ( ~ $less(sK4,max(sK2,sK3))
    | ~ spl6_21 ),
    inference(unit_resulting_resolution,[],[f58,f243]) ).

tff(f329,definition,
    ( spl6_28
  <=> $less(sK4,max(sK2,sK3)) ),
    introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).

tff(f330,plain,
    ( $less(sK4,max(sK2,sK3))
    | ~ spl6_28 ),
    inference(avatar_component_clause,[],[f329]) ).

tff(f331,plain,
    ( ~ $less(sK4,max(sK2,sK3))
    | spl6_28 ),
    inference(avatar_component_clause,[],[f329]) ).

tff(f332,plain,
    ( ~ spl6_28
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f325,f241,f329]) ).

tff(f337,plain,
    ( model_max(sK2,sK3,sK4)
    | spl6_28 ),
    inference(unit_resulting_resolution,[],[f59,f331]) ).

tff(f347,plain,
    ( $less(sK3,sK2)
    | ~ $less(sK4,sK3)
    | spl6_28 ),
    inference(superposition,[],[f331,f63]) ).

tff(f348,plain,
    ( $less(sK2,sK3)
    | ~ $less(sK4,sK2)
    | spl6_28 ),
    inference(superposition,[],[f331,f52]) ).

tff(f375,definition,
    ( spl6_34
  <=> $less(sK2,sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_34])],[avatar_definition]) ).

tff(f379,definition,
    ( spl6_35
  <=> $less(sK4,sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_35])],[avatar_definition]) ).

tff(f381,plain,
    ( ~ $less(sK4,sK2)
    | spl6_35 ),
    inference(avatar_component_clause,[],[f379]) ).

tff(f382,plain,
    ( spl6_34
    | ~ spl6_35
    | spl6_28 ),
    inference(avatar_split_clause,[],[f348,f329,f379,f375]) ).

tff(f389,definition,
    ( spl6_37
  <=> $less(sK4,sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_37])],[avatar_definition]) ).

tff(f391,plain,
    ( ~ $less(sK4,sK3)
    | spl6_37 ),
    inference(avatar_component_clause,[],[f389]) ).

tff(f393,definition,
    ( spl6_38
  <=> $less(sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_38])],[avatar_definition]) ).

tff(f394,plain,
    ( ~ $less(sK3,sK2)
    | spl6_38 ),
    inference(avatar_component_clause,[],[f393]) ).

tff(f396,plain,
    ( ~ spl6_37
    | spl6_38
    | spl6_28 ),
    inference(avatar_split_clause,[],[f347,f329,f393,f389]) ).

tff(f422,plain,
    ( $less(sK4,sK3)
    | $less(sK3,sK2)
    | ~ spl6_28 ),
    inference(superposition,[],[f330,f63]) ).

tff(f423,plain,
    ( $less(sK2,sK3)
    | $less(sK4,sK2)
    | ~ spl6_28 ),
    inference(superposition,[],[f330,f52]) ).

tff(f429,plain,
    ( spl6_38
    | spl6_37
    | ~ spl6_28 ),
    inference(avatar_split_clause,[],[f422,f329,f389,f393]) ).

tff(f431,plain,
    ( spl6_35
    | spl6_34
    | ~ spl6_28 ),
    inference(avatar_split_clause,[],[f423,f329,f375,f379]) ).

tff(f432,plain,
    ( spl6_21
    | spl6_28 ),
    inference(avatar_split_clause,[],[f337,f329,f241]) ).

tff(f434,plain,
    ( ! [X0: $int] :
        ( ~ model_max(sK2,sK3,X0)
        | ~ $less(X0,sK4) )
    | ~ spl6_2 ),
    inference(resolution,[],[f77,f48]) ).

tff(f444,plain,
    ( ~ ub(sK2,sK3,sK2)
    | spl6_3
    | spl6_35 ),
    inference(unit_resulting_resolution,[],[f60,f84,f381]) ).

tff(f471,definition,
    ( spl6_45
  <=> ub(sK2,sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_45])],[avatar_definition]) ).

tff(f472,plain,
    ( ub(sK2,sK3,sK2)
    | ~ spl6_45 ),
    inference(avatar_component_clause,[],[f471]) ).

tff(f473,plain,
    ( ~ ub(sK2,sK3,sK2)
    | spl6_45 ),
    inference(avatar_component_clause,[],[f471]) ).

tff(f474,plain,
    ( ~ spl6_45
    | spl6_3
    | spl6_35 ),
    inference(avatar_split_clause,[],[f444,f379,f83,f471]) ).

tff(f584,definition,
    ( spl6_59
  <=> $less(sK2,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_59])],[avatar_definition]) ).

tff(f586,plain,
    ( $less(sK2,sK4)
    | ~ spl6_59 ),
    inference(avatar_component_clause,[],[f584]) ).

tff(f712,plain,
    ( ! [X0: $int] :
        ( $less(X0,sK2)
        | ~ $less(X0,sK4)
        | $less(sK2,sK3) )
    | ~ spl6_2 ),
    inference(resolution,[],[f141,f434]) ).

tff(f717,definition,
    ( spl6_80
  <=> ! [X0: $int] :
        ( $less(X0,sK2)
        | ~ $less(X0,sK4) ) ),
    introduced(definition,[new_symbols(definition,[spl6_80])],[avatar_definition]) ).

tff(f718,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sK4)
        | $less(X0,sK2) )
    | ~ spl6_80 ),
    inference(avatar_component_clause,[],[f717]) ).

tff(f719,plain,
    ( spl6_34
    | spl6_80
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f712,f75,f717,f375]) ).

tff(f734,plain,
    ( $less(sK4,sK4)
    | spl6_3
    | spl6_35
    | spl6_37 ),
    inference(unit_resulting_resolution,[],[f186,f391,f381,f84]) ).

tff(f736,plain,
    ( spl6_4
    | spl6_3
    | spl6_35
    | spl6_37 ),
    inference(avatar_split_clause,[],[f734,f389,f379,f83,f94]) ).

tff(f790,plain,
    ( $less(sK5(sK2,sK3,sK4),sK4)
    | spl6_1
    | ~ spl6_3 ),
    inference(unit_resulting_resolution,[],[f66,f72,f85]) ).

tff(f791,plain,
    ( model_ub(sK2,sK3,sK5(sK2,sK3,sK4))
    | spl6_1
    | ~ spl6_3 ),
    inference(unit_resulting_resolution,[],[f67,f72,f85]) ).

tff(f795,definition,
    ( spl6_90
  <=> $less(sK5(sK2,sK3,sK4),sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_90])],[avatar_definition]) ).

tff(f797,plain,
    ( $less(sK5(sK2,sK3,sK4),sK4)
    | ~ spl6_90 ),
    inference(avatar_component_clause,[],[f795]) ).

tff(f798,plain,
    ( spl6_90
    | spl6_1
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f790,f83,f71,f795]) ).

tff(f800,definition,
    ( spl6_91
  <=> model_ub(sK2,sK3,sK5(sK2,sK3,sK4)) ),
    introduced(definition,[new_symbols(definition,[spl6_91])],[avatar_definition]) ).

tff(f802,plain,
    ( model_ub(sK2,sK3,sK5(sK2,sK3,sK4))
    | ~ spl6_91 ),
    inference(avatar_component_clause,[],[f800]) ).

tff(f803,plain,
    ( spl6_91
    | spl6_1
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f791,f83,f71,f800]) ).

tff(f879,plain,
    ( ~ model_max(sK2,sK3,sK5(sK2,sK3,sK4))
    | ~ spl6_2
    | ~ spl6_90 ),
    inference(unit_resulting_resolution,[],[f434,f797]) ).

tff(f903,definition,
    ( spl6_105
  <=> model_max(sK2,sK3,sK5(sK2,sK3,sK4)) ),
    introduced(definition,[new_symbols(definition,[spl6_105])],[avatar_definition]) ).

tff(f905,plain,
    ( ~ model_max(sK2,sK3,sK5(sK2,sK3,sK4))
    | spl6_105 ),
    inference(avatar_component_clause,[],[f903]) ).

tff(f906,plain,
    ( ~ spl6_105
    | ~ spl6_2
    | ~ spl6_90 ),
    inference(avatar_split_clause,[],[f879,f795,f75,f903]) ).

tff(f954,plain,
    ( ~ $less(sK5(sK2,sK3,sK4),sK1(sK3,sK2,sK5(sK2,sK3,sK4)))
    | ~ spl6_91 ),
    inference(unit_resulting_resolution,[],[f62,f802]) ).

tff(f956,plain,
    ( ~ $less(sK1(sK3,sK2,sK5(sK2,sK3,sK4)),sK3)
    | ~ spl6_91 ),
    inference(unit_resulting_resolution,[],[f189,f802]) ).

tff(f957,plain,
    ( ~ $less(sK1(sK3,sK2,sK5(sK2,sK3,sK4)),sK2)
    | ~ spl6_91 ),
    inference(unit_resulting_resolution,[],[f190,f802]) ).

tff(f959,definition,
    ( spl6_113
  <=> $less(sK5(sK2,sK3,sK4),sK1(sK3,sK2,sK5(sK2,sK3,sK4))) ),
    introduced(definition,[new_symbols(definition,[spl6_113])],[avatar_definition]) ).

tff(f962,plain,
    ( ~ spl6_113
    | ~ spl6_91 ),
    inference(avatar_split_clause,[],[f954,f800,f959]) ).

tff(f964,definition,
    ( spl6_114
  <=> $less(sK1(sK3,sK2,sK5(sK2,sK3,sK4)),sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_114])],[avatar_definition]) ).

tff(f967,plain,
    ( ~ spl6_114
    | ~ spl6_91 ),
    inference(avatar_split_clause,[],[f956,f800,f964]) ).

tff(f969,definition,
    ( spl6_115
  <=> $less(sK1(sK3,sK2,sK5(sK2,sK3,sK4)),sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_115])],[avatar_definition]) ).

tff(f972,plain,
    ( ~ spl6_115
    | ~ spl6_91 ),
    inference(avatar_split_clause,[],[f957,f800,f969]) ).

tff(f984,plain,
    ( $less(sK2,sK2)
    | $less(sK2,sK3)
    | spl6_45 ),
    inference(resolution,[],[f473,f57]) ).

tff(f986,definition,
    ( spl6_117
  <=> $less(sK2,sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_117])],[avatar_definition]) ).

tff(f989,plain,
    ( spl6_34
    | spl6_117
    | spl6_45 ),
    inference(avatar_split_clause,[],[f984,f471,f986,f375]) ).

tff(f1195,plain,
    ( $less(sK2,sK2)
    | ~ spl6_59
    | ~ spl6_80 ),
    inference(resolution,[],[f718,f586]) ).

tff(f1204,plain,
    ( spl6_117
    | ~ spl6_59
    | ~ spl6_80 ),
    inference(avatar_split_clause,[],[f1195,f717,f584,f986]) ).

tff(f1237,plain,
    ( model_max(sK2,sK3,sK0(sK3,sK4,sK2))
    | spl6_2
    | ~ spl6_21 ),
    inference(unit_resulting_resolution,[],[f50,f243,f76]) ).

tff(f1238,plain,
    ( $less(sK0(sK3,sK4,sK2),sK4)
    | spl6_2
    | ~ spl6_21 ),
    inference(unit_resulting_resolution,[],[f51,f243,f76]) ).

tff(f1240,definition,
    ( spl6_149
  <=> model_max(sK2,sK3,sK0(sK3,sK4,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl6_149])],[avatar_definition]) ).

tff(f1242,plain,
    ( model_max(sK2,sK3,sK0(sK3,sK4,sK2))
    | ~ spl6_149 ),
    inference(avatar_component_clause,[],[f1240]) ).

tff(f1243,plain,
    ( spl6_149
    | spl6_2
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f1237,f241,f75,f1240]) ).

tff(f1245,definition,
    ( spl6_150
  <=> $less(sK0(sK3,sK4,sK2),sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_150])],[avatar_definition]) ).

tff(f1247,plain,
    ( $less(sK0(sK3,sK4,sK2),sK4)
    | ~ spl6_150 ),
    inference(avatar_component_clause,[],[f1245]) ).

tff(f1248,plain,
    ( spl6_150
    | spl6_2
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f1238,f241,f75,f1245]) ).

tff(f1262,plain,
    ( ~ model_ub(sK2,sK3,sK0(sK3,sK4,sK2))
    | ~ spl6_1
    | ~ spl6_150 ),
    inference(unit_resulting_resolution,[],[f68,f73,f1247]) ).

tff(f1292,definition,
    ( spl6_155
  <=> model_ub(sK2,sK3,sK0(sK3,sK4,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl6_155])],[avatar_definition]) ).

tff(f1294,plain,
    ( ~ model_ub(sK2,sK3,sK0(sK3,sK4,sK2))
    | spl6_155 ),
    inference(avatar_component_clause,[],[f1292]) ).

tff(f1295,plain,
    ( ~ spl6_155
    | ~ spl6_1
    | ~ spl6_150 ),
    inference(avatar_split_clause,[],[f1262,f1245,f71,f1292]) ).

tff(f1496,plain,
    ( ~ $less(sK0(sK3,sK4,sK2),sK2)
    | $less(sK2,sK3)
    | ~ spl6_149 ),
    inference(resolution,[],[f1242,f138]) ).

tff(f1497,plain,
    ( ~ $less(sK0(sK3,sK4,sK2),sK3)
    | $less(sK3,sK2)
    | ~ spl6_149 ),
    inference(resolution,[],[f1242,f137]) ).

tff(f1504,definition,
    ( spl6_184
  <=> $less(sK0(sK3,sK4,sK2),sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_184])],[avatar_definition]) ).

tff(f1508,plain,
    ( ~ spl6_184
    | spl6_34
    | ~ spl6_149 ),
    inference(avatar_split_clause,[],[f1496,f1240,f375,f1504]) ).

tff(f1884,plain,
    ( $less(sK3,sK2)
    | $less(sK5(sK2,sK3,sK4),sK3)
    | spl6_105 ),
    inference(resolution,[],[f905,f140]) ).

tff(f2141,plain,
    ( $less(sK0(sK3,sK4,sK2),sK2)
    | ~ spl6_45
    | spl6_155 ),
    inference(unit_resulting_resolution,[],[f60,f472,f1294]) ).

tff(f2145,plain,
    ( spl6_184
    | ~ spl6_45
    | spl6_155 ),
    inference(avatar_split_clause,[],[f2141,f1292,f471,f1504]) ).

tff(f2165,definition,
    ( spl6_269
  <=> $less(sK5(sK2,sK3,sK4),sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_269])],[avatar_definition]) ).

tff(f2168,plain,
    ( spl6_38
    | spl6_269
    | spl6_105 ),
    inference(avatar_split_clause,[],[f1884,f903,f2165,f393]) ).

tff(f2171,definition,
    ( spl6_270
  <=> $less(sK0(sK3,sK4,sK2),sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_270])],[avatar_definition]) ).

tff(f2173,plain,
    ( ~ $less(sK0(sK3,sK4,sK2),sK3)
    | spl6_270 ),
    inference(avatar_component_clause,[],[f2171]) ).

tff(f2174,plain,
    ( spl6_38
    | ~ spl6_270
    | ~ spl6_149 ),
    inference(avatar_split_clause,[],[f1497,f1240,f2171,f393]) ).

tff(f2258,plain,
    ( $less(sK3,sK3)
    | spl6_38
    | spl6_155
    | spl6_270 ),
    inference(unit_resulting_resolution,[],[f186,f394,f1294,f2173]) ).

tff(f2295,definition,
    ( spl6_283
  <=> $less(sK3,sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_283])],[avatar_definition]) ).

tff(f2298,plain,
    ( spl6_283
    | spl6_38
    | spl6_155
    | spl6_270 ),
    inference(avatar_split_clause,[],[f2258,f2171,f1292,f393,f2295]) ).

tff(f2304,plain,
    $false,
    inference(avatar_smt_refutation,[],[f2298,f2174,f2168,f2145,f1508,f1295,f1248,f1243,f1204,f989,f972,f967,f962,f906,f803,f798,f736,f719,f474,f432,f431,f429,f396,f382,f332,f244,f211,f206,f195,f158,f86,f79,f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM859_1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n011.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 21:35:02 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.34/1.43  % (2777566)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.34/1.43  % (2777575)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2428310614:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.34/1.43  % (2777575)Instruction limit reached! 
% 3.34/1.43  % (2777575)------------------------------
% 3.34/1.43  % (2777575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.43  % (2777575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.43  % (2777575)CaDiCaL version: 2.1.3
% 3.34/1.43  % (2777575)Termination reason: Instruction limit
% 3.34/1.43  % (2777575)Termination phase: Saturation
% 3.34/1.43  % (2777575)Time elapsed: 0.003 s
% 3.34/1.43  % (2777575)Peak memory usage: 89 MB
% 3.34/1.43  % (2777575)Instructions burned: 7 (million)
% 3.34/1.43  % (2777573)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3177117149:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.34/1.43  % (2777576)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2206839359:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.34/1.43  % (2777572)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2409441756:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.34/1.43  % (2777577)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3912228986:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.34/1.43  % (2777574)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4123718040:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.34/1.43  % (2777571)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2985653209:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.34/1.43  % (2777574)Instruction limit reached! 
% 3.34/1.43  % (2777574)------------------------------
% 3.34/1.43  % (2777574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.43  % (2777574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.43  % (2777574)CaDiCaL version: 2.1.3
% 3.34/1.43  % (2777574)Termination reason: Instruction limit
% 3.34/1.43  % (2777574)Termination phase: Saturation
% 3.34/1.43  % (2777574)Time elapsed: 0.005 s
% 3.34/1.43  % (2777574)Peak memory usage: 88 MB
% 3.34/1.43  % (2777574)Instructions burned: 7 (million)
% 3.34/1.43  % (2777571)Instruction limit reached! 
% 3.34/1.43  % (2777571)------------------------------
% 3.34/1.43  % (2777571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.43  % (2777571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.43  % (2777571)CaDiCaL version: 2.1.3
% 3.34/1.43  % (2777571)Termination reason: Instruction limit
% 3.34/1.43  % (2777571)Termination phase: Saturation
% 3.34/1.43  % (2777571)Time elapsed: 0.031 s
% 3.34/1.43  % (2777571)Peak memory usage: 115 MB
% 3.34/1.43  % (2777571)Instructions burned: 12 (million)
% 3.34/1.43  % (2777577)Instruction limit reached! 
% 3.34/1.43  % (2777577)------------------------------
% 3.34/1.43  % (2777577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.43  % (2777577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.44  % (2777577)CaDiCaL version: 2.1.3
% 3.34/1.44  % (2777577)Termination reason: Instruction limit
% 3.34/1.44  % (2777577)Termination phase: Saturation
% 3.34/1.44  % (2777577)Time elapsed: 0.046 s
% 3.34/1.44  % (2777577)Peak memory usage: 115 MB
% 3.34/1.44  % (2777577)Instructions burned: 33 (million)
% 3.34/1.44  % (2777576)Instruction limit reached! 
% 3.34/1.44  % (2777576)------------------------------
% 3.34/1.44  % (2777576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.44  % (2777576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.44  % (2777576)CaDiCaL version: 2.1.3
% 3.34/1.44  % (2777576)Termination reason: Instruction limit
% 3.34/1.44  % (2777576)Termination phase: Saturation
% 3.34/1.44  % (2777576)Time elapsed: 0.057 s
% 3.34/1.44  % (2777576)Peak memory usage: 115 MB
% 3.34/1.44  % (2777576)Instructions burned: 47 (million)
% 3.34/1.44  % (2777579)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2267748569:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.34/1.44  % (2777579)Instruction limit reached! 
% 3.34/1.44  % (2777579)------------------------------
% 4.80/1.64  % (2777579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64  % (2777579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64  % (2777579)CaDiCaL version: 2.1.3
% 4.80/1.64  % (2777579)Termination reason: Instruction limit
% 4.80/1.64  % (2777579)Termination phase: Saturation
% 4.80/1.64  % (2777579)Time elapsed: 0.006 s
% 4.80/1.64  % (2777579)Peak memory usage: 89 MB
% 4.80/1.64  % (2777579)Instructions burned: 15 (million)
% 4.80/1.64  % (2777586)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=3718894533:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.80/1.64  % (2777573)Instruction limit reached! 
% 4.80/1.64  % (2777573)------------------------------
% 4.80/1.64  % (2777573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64  % (2777573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64  % (2777573)CaDiCaL version: 2.1.3
% 4.80/1.64  % (2777573)Termination reason: Instruction limit
% 4.80/1.64  % (2777573)Termination phase: Saturation
% 4.80/1.64  % (2777573)Time elapsed: 0.153 s
% 4.80/1.64  % (2777573)Peak memory usage: 118 MB
% 4.80/1.64  % (2777573)Instructions burned: 201 (million)
% 4.80/1.64  % (2777586)Instruction limit reached! 
% 4.80/1.64  % (2777586)------------------------------
% 4.80/1.64  % (2777586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64  % (2777586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64  % (2777586)CaDiCaL version: 2.1.3
% 4.80/1.64  % (2777586)Termination reason: Instruction limit
% 4.80/1.64  % (2777586)Termination phase: Saturation
% 4.80/1.64  % (2777586)Time elapsed: 0.023 s
% 4.80/1.64  % (2777586)Peak memory usage: 89 MB
% 4.80/1.64  % (2777586)Instructions burned: 30 (million)
% 4.80/1.64  % (2777587)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2167194368:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.80/1.64  % (2777587)Instruction limit reached! 
% 4.80/1.64  % (2777587)------------------------------
% 4.80/1.64  % (2777587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64  % (2777587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64  % (2777587)CaDiCaL version: 2.1.3
% 4.80/1.64  % (2777587)Termination reason: Instruction limit
% 4.80/1.64  % (2777587)Termination phase: Saturation
% 4.80/1.64  % (2777587)Time elapsed: 0.011 s
% 4.80/1.64  % (2777587)Peak memory usage: 90 MB
% 4.80/1.64  % (2777587)Instructions burned: 18 (million)
% 4.80/1.64  % (2777589)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=2011606367:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.80/1.64  % (2777588)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2822675001:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.80/1.64  % (2777589)Refutation not found, incomplete strategy
% 4.80/1.64  % (2777589)------------------------------
% 4.80/1.64  % (2777589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64  % (2777589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64  % (2777589)CaDiCaL version: 2.1.3
% 4.80/1.64  % (2777589)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.64  % (2777589)Time elapsed: 0.002 s
% 4.80/1.64  % (2777589)Peak memory usage: 89 MB
% 4.80/1.64  % (2777589)Instructions burned: 1 (million)
% 4.80/1.64  % (2777591)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=72623429:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.80/1.64  % (2777588)Instruction limit reached! 
% 4.80/1.64  % (2777588)------------------------------
% 4.80/1.64  % (2777588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64  % (2777588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64  % (2777588)CaDiCaL version: 2.1.3
% 4.80/1.64  % (2777588)Termination reason: Instruction limit
% 4.80/1.64  % (2777588)Termination phase: Saturation
% 4.80/1.64  % (2777588)Time elapsed: 0.019 s
% 4.80/1.64  % (2777588)Peak memory usage: 89 MB
% 4.80/1.64  % (2777588)Instructions burned: 25 (million)
% 4.80/1.64  % (2777591)Instruction limit reached! 
% 4.80/1.64  % (2777591)------------------------------
% 4.80/1.64  % (2777591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.82  % (2777591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.82  % (2777591)CaDiCaL version: 2.1.3
% 5.88/1.82  % (2777591)Termination reason: Instruction limit
% 5.88/1.82  % (2777591)Termination phase: Saturation
% 5.88/1.82  % (2777591)Time elapsed: 0.027 s
% 5.88/1.82  % (2777591)Peak memory usage: 89 MB
% 5.88/1.82  % (2777591)Instructions burned: 87 (million)
% 5.88/1.82  % (2777572)Instruction limit reached! 
% 5.88/1.82  % (2777572)------------------------------
% 5.88/1.82  % (2777572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.82  % (2777572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.82  % (2777572)CaDiCaL version: 2.1.3
% 5.88/1.82  % (2777572)Termination reason: Instruction limit
% 5.88/1.82  % (2777572)Termination phase: Saturation
% 5.88/1.82  % (2777572)Time elapsed: 0.242 s
% 5.88/1.82  % (2777572)Peak memory usage: 117 MB
% 5.88/1.82  % (2777572)Instructions burned: 308 (million)
% 5.88/1.82  % (2777593)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1465646061:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.88/1.82  % (2777593)Instruction limit reached! 
% 5.88/1.82  % (2777593)------------------------------
% 5.88/1.82  % (2777593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.82  % (2777593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.82  % (2777593)CaDiCaL version: 2.1.3
% 5.88/1.82  % (2777593)Termination reason: Instruction limit
% 5.88/1.82  % (2777593)Termination phase: Saturation
% 5.88/1.82  % (2777593)Time elapsed: 0.003 s
% 5.88/1.82  % (2777593)Peak memory usage: 89 MB
% 5.88/1.82  % (2777593)Instructions burned: 2 (million)
% 5.88/1.82  % (2777594)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2517755689:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.88/1.82  % (2777594)Refutation not found, incomplete strategy
% 5.88/1.82  % (2777594)------------------------------
% 5.88/1.82  % (2777594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.82  % (2777594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.82  % (2777594)CaDiCaL version: 2.1.3
% 5.88/1.82  % (2777594)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.82  % (2777594)Time elapsed: 0.004 s
% 5.88/1.82  % (2777594)Peak memory usage: 89 MB
% 5.88/1.82  % (2777594)Instructions burned: 4 (million)
% 5.88/1.82  % (2777598)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1280206907:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.88/1.82  % (2777598)Instruction limit reached! 
% 5.88/1.82  % (2777598)------------------------------
% 5.88/1.82  % (2777598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.82  % (2777598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.82  % (2777598)CaDiCaL version: 2.1.3
% 5.88/1.82  % (2777598)Termination reason: Instruction limit
% 5.88/1.82  % (2777598)Termination phase: Saturation
% 5.88/1.82  % (2777598)Time elapsed: 0.004 s
% 5.88/1.82  % (2777598)Peak memory usage: 89 MB
% 5.88/1.82  % (2777598)Instructions burned: 4 (million)
% 5.88/1.82  % (2777601)lrs+10_1_thi=all:si=on:fd=off:random_seed=3707520631:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.88/1.82  % (2777600)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=576071920:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.88/1.82  % (2777601)Instruction limit reached! 
% 5.88/1.82  % (2777601)------------------------------
% 5.88/1.82  % (2777601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.82  % (2777601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.82  % (2777601)CaDiCaL version: 2.1.3
% 5.88/1.82  % (2777601)Termination reason: Instruction limit
% 5.88/1.82  % (2777601)Termination phase: Saturation
% 5.88/1.82  % (2777601)Time elapsed: 0.038 s
% 5.88/1.82  % (2777601)Peak memory usage: 116 MB
% 5.88/1.82  % (2777601)Instructions burned: 54 (million)
% 5.88/1.82  % (2777602)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=1912878789:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.88/1.82  % (2777602)Instruction limit reached! 
% 8.65/2.05  % (2777602)------------------------------
% 8.65/2.05  % (2777602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.05  % (2777602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.05  % (2777602)CaDiCaL version: 2.1.3
% 8.65/2.05  % (2777602)Termination reason: Instruction limit
% 8.65/2.05  % (2777602)Termination phase: Saturation
% 8.65/2.05  % (2777602)Time elapsed: 0.006 s
% 8.65/2.05  % (2777602)Peak memory usage: 88 MB
% 8.65/2.05  % (2777602)Instructions burned: 8 (million)
% 8.65/2.05  % (2777589)------------------------------
% 8.65/2.05  % (2777589)------------------------------
% 8.65/2.05  % (2777600)Instruction limit reached! 
% 8.65/2.05  % (2777600)------------------------------
% 8.65/2.05  % (2777600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.05  % (2777600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.05  % (2777600)CaDiCaL version: 2.1.3
% 8.65/2.05  % (2777600)Termination reason: Instruction limit
% 8.65/2.05  % (2777600)Termination phase: Saturation
% 8.65/2.05  % (2777600)Time elapsed: 0.095 s
% 8.65/2.05  % (2777600)Peak memory usage: 133 MB
% 8.65/2.05  % (2777600)Instructions burned: 66 (million)
% 8.65/2.05  % (2777604)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1221450850:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 8.65/2.05  % (2777604)Instruction limit reached! 
% 8.65/2.05  % (2777604)------------------------------
% 8.65/2.05  % (2777604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.05  % (2777604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.05  % (2777604)CaDiCaL version: 2.1.3
% 8.65/2.05  % (2777604)Termination reason: Instruction limit
% 8.65/2.05  % (2777604)Termination phase: Saturation
% 8.65/2.05  % (2777604)Time elapsed: 0.003 s
% 8.65/2.05  % (2777604)Peak memory usage: 89 MB
% 8.65/2.05  % (2777604)Instructions burned: 3 (million)
% 8.65/2.05  % (2777610)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=4003385601:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 8.65/2.05  % (2777607)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=391692120:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 8.65/2.05  % (2777607)Instruction limit reached! 
% 8.65/2.05  % (2777607)------------------------------
% 8.65/2.05  % (2777607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.05  % (2777607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.05  % (2777607)CaDiCaL version: 2.1.3
% 8.65/2.05  % (2777607)Termination reason: Instruction limit
% 8.65/2.05  % (2777607)Termination phase: Saturation
% 8.65/2.05  % (2777607)Time elapsed: 0.003 s
% 8.65/2.05  % (2777607)Peak memory usage: 89 MB
% 8.65/2.05  % (2777607)Instructions burned: 3 (million)
% 8.65/2.05  % (2777612)dis+10_1_si=on:random_seed=2390090588:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 8.65/2.05  % (2777610)Instruction limit reached! 
% 8.65/2.05  % (2777610)------------------------------
% 8.65/2.05  % (2777610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.05  % (2777610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.05  % (2777610)CaDiCaL version: 2.1.3
% 8.65/2.05  % (2777610)Termination reason: Instruction limit
% 8.65/2.05  % (2777610)Termination phase: Saturation
% 8.65/2.05  % (2777610)Time elapsed: 0.063 s
% 8.65/2.05  % (2777610)Peak memory usage: 117 MB
% 8.65/2.05  % (2777610)Instructions burned: 128 (million)
% 8.65/2.05  % (2777612)Instruction limit reached! 
% 8.65/2.05  % (2777612)------------------------------
% 8.65/2.05  % (2777612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.05  % (2777612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.05  % (2777612)CaDiCaL version: 2.1.3
% 8.65/2.05  % (2777612)Termination reason: Instruction limit
% 8.65/2.05  % (2777612)Termination phase: Saturation
% 8.65/2.05  % (2777612)Time elapsed: 0.008 s
% 8.65/2.05  % (2777612)Peak memory usage: 88 MB
% 8.65/2.05  % (2777612)Instructions burned: 12 (million)
% 8.65/2.05  % (2777594)------------------------------
% 8.65/2.05  % (2777594)------------------------------
% 8.65/2.05  % (2777613)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=645736960:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 8.65/2.05  % (2777614)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=420752180: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_2993 on theBenchmark for (2993ds/35Mi)
% 9.53/2.28  % (2777613)Refutation not found, incomplete strategy
% 9.53/2.28  % (2777613)------------------------------
% 9.53/2.28  % (2777613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.28  % (2777613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.28  % (2777613)CaDiCaL version: 2.1.3
% 9.53/2.28  % (2777613)Termination reason: Refutation not found, incomplete strategy
% 9.53/2.28  % (2777613)Time elapsed: 0.002 s
% 9.53/2.28  % (2777613)Peak memory usage: 88 MB
% 9.53/2.28  % (2777613)Instructions burned: 1 (million)
% 9.53/2.28  % (2777616)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=582874024:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 9.53/2.28  % (2777616)Instruction limit reached! 
% 9.53/2.28  % (2777616)------------------------------
% 9.53/2.28  % (2777616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.28  % (2777616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.28  % (2777616)CaDiCaL version: 2.1.3
% 9.53/2.28  % (2777616)Termination reason: Instruction limit
% 9.53/2.28  % (2777616)Termination phase: Saturation
% 9.53/2.28  % (2777616)Time elapsed: 0.003 s
% 9.53/2.28  % (2777616)Peak memory usage: 89 MB
% 9.53/2.28  % (2777616)Instructions burned: 3 (million)
% 9.53/2.28  % (2777614)Instruction limit reached! 
% 9.53/2.28  % (2777614)------------------------------
% 9.53/2.28  % (2777614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.28  % (2777614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.28  % (2777614)CaDiCaL version: 2.1.3
% 9.53/2.28  % (2777614)Termination reason: Instruction limit
% 9.53/2.28  % (2777614)Termination phase: Saturation
% 9.53/2.28  % (2777614)Time elapsed: 0.030 s
% 9.53/2.28  % (2777614)Peak memory usage: 89 MB
% 9.53/2.28  % (2777614)Instructions burned: 36 (million)
% 9.53/2.28  % (2777619)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3444191485:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 9.53/2.28  % (2777619)Instruction limit reached! 
% 9.53/2.28  % (2777619)------------------------------
% 9.53/2.28  % (2777619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.28  % (2777619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.28  % (2777619)CaDiCaL version: 2.1.3
% 9.53/2.28  % (2777619)Termination reason: Instruction limit
% 9.53/2.28  % (2777619)Termination phase: Saturation
% 9.53/2.28  % (2777619)Time elapsed: 0.008 s
% 9.53/2.28  % (2777619)Peak memory usage: 89 MB
% 9.53/2.28  % (2777619)Instructions burned: 8 (million)
% 9.53/2.28  % (2777621)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1590916409:i=370:ep=RS:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/370Mi)
% 9.53/2.28  % (2777622)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2197202676:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/13Mi)
% 9.53/2.28  % (2777623)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=4191914102:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 9.53/2.28  % (2777622)Instruction limit reached! 
% 9.53/2.28  % (2777622)------------------------------
% 9.53/2.28  % (2777622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.28  % (2777622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.28  % (2777622)CaDiCaL version: 2.1.3
% 9.53/2.28  % (2777622)Termination reason: Instruction limit
% 9.53/2.28  % (2777622)Termination phase: Saturation
% 9.53/2.28  % (2777622)Time elapsed: 0.032 s
% 9.53/2.28  % (2777622)Peak memory usage: 116 MB
% 9.53/2.28  % (2777622)Instructions burned: 13 (million)
% 9.53/2.28  % (2777627)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=176416340:i=10:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 9.53/2.28  % (2777621)Instruction limit reached! 
% 9.53/2.28  % (2777621)------------------------------
% 9.53/2.28  % (2777621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.28  % (2777621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.28  % (2777621)CaDiCaL version: 2.1.3
% 10.77/2.57  % (2777621)Termination reason: Instruction limit
% 10.77/2.57  % (2777621)Termination phase: Saturation
% 10.77/2.57  % (2777621)Time elapsed: 0.116 s
% 10.77/2.57  % (2777621)Peak memory usage: 92 MB
% 10.77/2.57  % (2777621)Instructions burned: 372 (million)
% 10.77/2.57  % (2777627)Instruction limit reached! 
% 10.77/2.57  % (2777627)------------------------------
% 10.77/2.57  % (2777627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.57  % (2777627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.57  % (2777627)CaDiCaL version: 2.1.3
% 10.77/2.57  % (2777627)Termination reason: Instruction limit
% 10.77/2.57  % (2777627)Termination phase: Saturation
% 10.77/2.57  % (2777627)Time elapsed: 0.009 s
% 10.77/2.57  % (2777627)Peak memory usage: 88 MB
% 10.77/2.57  % (2777627)Instructions burned: 10 (million)
% 10.77/2.57  % (2777628)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2354047764:i=71:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/71Mi)
% 10.77/2.57  % (2777630)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=1130998312:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2991 on theBenchmark for (2991ds/75Mi)
% 10.77/2.57  % (2777613)------------------------------
% 10.77/2.57  % (2777613)------------------------------
% 10.77/2.57  % (2777630)Instruction limit reached! 
% 10.77/2.57  % (2777630)------------------------------
% 10.77/2.57  % (2777630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.57  % (2777630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.57  % (2777630)CaDiCaL version: 2.1.3
% 10.77/2.57  % (2777630)Termination reason: Instruction limit
% 10.77/2.57  % (2777630)Termination phase: Saturation
% 10.77/2.57  % (2777630)Time elapsed: 0.054 s
% 10.77/2.57  % (2777630)Peak memory usage: 90 MB
% 10.77/2.57  % (2777630)Instructions burned: 75 (million)
% 10.77/2.57  % (2777628)Instruction limit reached! 
% 10.77/2.57  % (2777628)------------------------------
% 10.77/2.57  % (2777628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.57  % (2777628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.57  % (2777628)CaDiCaL version: 2.1.3
% 10.77/2.57  % (2777628)Termination reason: Instruction limit
% 10.77/2.57  % (2777628)Termination phase: Saturation
% 10.77/2.57  % (2777628)Time elapsed: 0.097 s
% 10.77/2.57  % (2777628)Peak memory usage: 133 MB
% 10.77/2.57  % (2777628)Instructions burned: 71 (million)
% 10.77/2.57  % (2777623)Instruction limit reached! 
% 10.77/2.57  % (2777623)------------------------------
% 10.77/2.57  % (2777623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.57  % (2777623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.57  % (2777623)CaDiCaL version: 2.1.3
% 10.77/2.57  % (2777623)Termination reason: Instruction limit
% 10.77/2.57  % (2777623)Termination phase: Saturation
% 10.77/2.57  % (2777623)Time elapsed: 0.165 s
% 10.77/2.57  % (2777623)Peak memory usage: 117 MB
% 10.77/2.57  % (2777623)Instructions burned: 227 (million)
% 10.77/2.57  % (2777637)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1326759052:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2990 on theBenchmark for (2990ds/130Mi)
% 10.77/2.57  % (2777634)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=1317244779:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2990 on theBenchmark for (2990ds/294Mi)
% 10.77/2.57  % (2777638)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=1168985481:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 10.77/2.57  % (2777637)Instruction limit reached! 
% 10.77/2.57  % (2777637)------------------------------
% 10.77/2.57  % (2777637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.57  % (2777637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.57  % (2777637)CaDiCaL version: 2.1.3
% 10.77/2.57  % (2777637)Termination reason: Instruction limit
% 10.77/2.57  % (2777637)Termination phase: Saturation
% 10.77/2.57  % (2777637)Time elapsed: 0.062 s
% 10.77/2.57  % (2777637)Peak memory usage: 117 MB
% 10.77/2.57  % (2777637)Instructions burned: 132 (million)
% 10.77/2.57  % (2777640)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3103418698:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/40Mi)
% 10.77/2.57  % (2777641)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=2154313365:i=307:rtra=on:gtg=exists_top_2989 on theBenchmark for (2989ds/307Mi)
% 12.53/2.80  % (2777643)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1619438624:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/598Mi)
% 12.53/2.80  % (2777645)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=4198223352:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 12.53/2.80  % (2777640)Instruction limit reached! 
% 12.53/2.80  % (2777640)------------------------------
% 12.53/2.80  % (2777640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777640)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777640)Termination reason: Instruction limit
% 12.53/2.80  % (2777640)Termination phase: Saturation
% 12.53/2.80  % (2777640)Time elapsed: 0.074 s
% 12.53/2.80  % (2777640)Peak memory usage: 133 MB
% 12.53/2.80  % (2777640)Instructions burned: 41 (million)
% 12.53/2.80  % (2777638)Instruction limit reached! 
% 12.53/2.80  % (2777638)------------------------------
% 12.53/2.80  % (2777638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777638)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777638)Termination reason: Instruction limit
% 12.53/2.80  % (2777638)Termination phase: Saturation
% 12.53/2.80  % (2777638)Time elapsed: 0.139 s
% 12.53/2.80  % (2777638)Peak memory usage: 134 MB
% 12.53/2.80  % (2777638)Instructions burned: 133 (million)
% 12.53/2.80  % (2777647)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=454987126:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2988 on theBenchmark for (2988ds/259Mi)
% 12.53/2.80  % (2777634)Instruction limit reached! 
% 12.53/2.80  % (2777634)------------------------------
% 12.53/2.80  % (2777634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777634)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777634)Termination reason: Instruction limit
% 12.53/2.80  % (2777634)Termination phase: Saturation
% 12.53/2.80  % (2777634)Time elapsed: 0.205 s
% 12.53/2.80  % (2777634)Peak memory usage: 90 MB
% 12.53/2.80  % (2777634)Instructions burned: 294 (million)
% 12.53/2.80  % (2777645)Instruction limit reached! 
% 12.53/2.80  % (2777645)------------------------------
% 12.53/2.80  % (2777645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777645)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777645)Termination reason: Instruction limit
% 12.53/2.80  % (2777645)Termination phase: Saturation
% 12.53/2.80  % (2777645)Time elapsed: 0.101 s
% 12.53/2.80  % (2777645)Peak memory usage: 116 MB
% 12.53/2.80  % (2777645)Instructions burned: 132 (million)
% 12.53/2.80  % (2777647)Instruction limit reached! 
% 12.53/2.80  % (2777647)------------------------------
% 12.53/2.80  % (2777647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777647)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777647)Termination reason: Instruction limit
% 12.53/2.80  % (2777647)Termination phase: Saturation
% 12.53/2.80  % (2777647)Time elapsed: 0.104 s
% 12.53/2.80  % (2777647)Peak memory usage: 117 MB
% 12.53/2.80  % (2777647)Instructions burned: 262 (million)
% 12.53/2.80  % (2777641)Instruction limit reached! 
% 12.53/2.80  % (2777641)------------------------------
% 12.53/2.80  % (2777641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777641)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777641)Termination reason: Instruction limit
% 12.53/2.80  % (2777641)Termination phase: Saturation
% 12.53/2.80  % (2777641)Time elapsed: 0.203 s
% 12.53/2.80  % (2777641)Peak memory usage: 92 MB
% 12.53/2.80  % (2777641)Instructions burned: 308 (million)
% 12.53/2.80  % (2777653)dis+10_1_si=on:random_seed=3149072956:s2a=on:i=1000:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/1000Mi)
% 12.53/2.80  % (2777655)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=4082351754:i=141:doe=on:rtra=on_2987 on theBenchmark for (2987ds/141Mi)
% 12.53/2.80  % (2777654)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=4189911916:i=383:fsr=off:rtra=on:ev=force_2987 on theBenchmark for (2987ds/383Mi)
% 12.53/2.80  % (2777656)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=4020110758:i=65:nm=16:rtra=on_2986 on theBenchmark for (2986ds/65Mi)
% 12.53/2.80  % (2777643)First to succeed.
% 12.53/2.80  % (2777643)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2777566"
% 12.53/2.80  % (2777657)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=2412998334:i=121:nm=16:rtra=on_2986 on theBenchmark for (2986ds/121Mi)
% 12.53/2.80  % (2777655)Instruction limit reached! 
% 12.53/2.80  % (2777655)------------------------------
% 12.53/2.80  % (2777655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777655)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777655)Termination reason: Instruction limit
% 12.53/2.80  % (2777655)Termination phase: Saturation
% 12.53/2.80  % (2777655)Time elapsed: 0.093 s
% 12.53/2.80  % (2777655)Peak memory usage: 90 MB
% 12.53/2.80  % (2777655)Instructions burned: 142 (million)
% 12.53/2.80  % (2777657)Instruction limit reached! 
% 12.53/2.80  % (2777657)------------------------------
% 12.53/2.80  % (2777657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777657)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777657)Termination reason: Instruction limit
% 12.53/2.80  % (2777657)Termination phase: Saturation
% 12.53/2.80  % (2777657)Time elapsed: 0.038 s
% 12.53/2.80  % (2777657)Peak memory usage: 89 MB
% 12.53/2.80  % (2777657)Instructions burned: 124 (million)
% 12.53/2.80  % (2777656)Instruction limit reached! 
% 12.53/2.80  % (2777656)------------------------------
% 12.53/2.80  % (2777656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777656)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777656)Termination reason: Instruction limit
% 12.53/2.80  % (2777656)Termination phase: Saturation
% 12.53/2.80  % (2777656)Time elapsed: 0.059 s
% 12.53/2.80  % (2777656)Peak memory usage: 116 MB
% 12.53/2.80  % (2777656)Instructions burned: 66 (million)
% 12.53/2.80  % (2777658)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=147970197:s2a=on:i=128:s2at=5:ins=3:rtra=on_2986 on theBenchmark for (2986ds/128Mi)
% 12.53/2.80  % (2777654)Instruction limit reached! 
% 12.53/2.80  % (2777654)------------------------------
% 12.53/2.80  % (2777654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777654)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777654)Termination reason: Instruction limit
% 12.53/2.80  % (2777654)Termination phase: Saturation
% 12.53/2.80  % (2777654)Time elapsed: 0.210 s
% 12.53/2.80  % (2777654)Peak memory usage: 91 MB
% 12.53/2.80  % (2777654)Instructions burned: 384 (million)
% 12.53/2.80  % (2777665)dis+1010_1_to=kbo:si=on:random_seed=2890856224:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2984 on theBenchmark for (2984ds/175Mi)
% 12.53/2.80  % (2777658)Instruction limit reached! 
% 12.53/2.80  % (2777658)------------------------------
% 12.53/2.80  % (2777658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777658)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777658)Termination reason: Instruction limit
% 12.53/2.80  % (2777658)Termination phase: Saturation
% 12.53/2.80  % (2777658)Time elapsed: 0.112 s
% 12.53/2.80  % (2777658)Peak memory usage: 117 MB
% 12.53/2.80  % (2777658)Instructions burned: 128 (million)
% 12.53/2.80  % (2777664)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=2434282134:i=39:ins=3:rtra=on_2984 on theBenchmark for (2984ds/39Mi)
% 12.53/2.80  % (2777666)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4185299231:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/329Mi)
% 12.53/2.80  % (2777665)Instruction limit reached! 
% 12.53/2.80  % (2777665)------------------------------
% 12.53/2.80  % (2777665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777665)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777665)Termination reason: Instruction limit
% 12.53/2.80  % (2777665)Termination phase: Saturation
% 12.53/2.80  % (2777665)Time elapsed: 0.063 s
% 12.53/2.80  % (2777665)Peak memory usage: 90 MB
% 12.53/2.80  % (2777665)Instructions burned: 177 (million)
% 12.53/2.80  % (2777664)Instruction limit reached! 
% 12.53/2.80  % (2777664)------------------------------
% 12.53/2.80  % (2777664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777664)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777664)Termination reason: Instruction limit
% 12.53/2.80  % (2777664)Termination phase: Saturation
% 12.53/2.80  % (2777664)Time elapsed: 0.052 s
% 12.53/2.80  % (2777664)Peak memory usage: 116 MB
% 12.53/2.80  % (2777664)Instructions burned: 39 (million)
% 12.53/2.80  % (2777666)Instruction limit reached! 
% 12.53/2.80  % (2777666)------------------------------
% 12.53/2.80  % (2777666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.53/2.80  % (2777666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.80  % (2777666)CaDiCaL version: 2.1.3
% 12.53/2.80  % (2777666)Termination reason: Instruction limit
% 12.53/2.80  % (2777666)Termination phase: Saturation
% 12.53/2.80  % (2777666)Time elapsed: 0.225 s
% 12.53/2.80  % (2777666)Peak memory usage: 118 MB
% 12.53/2.80  % (2777666)Instructions burned: 330 (million)
% 12.53/2.80  % (2777643)Refutation found. Thanks to Tanya!
% 12.53/2.80  % SZS status Theorem for theBenchmark
% 12.53/2.80  % SZS output start Proof for theBenchmark
% See solution above
% 13.13/3.00  % (2777643)------------------------------
% 13.13/3.00  % (2777643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.13/3.00  % (2777643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.13/3.00  % (2777643)CaDiCaL version: 2.1.3
% 13.13/3.00  % (2777643)Termination reason: Refutation
% 13.13/3.00  % (2777643)Time elapsed: 0.272 s
% 13.13/3.00  % (2777643)Peak memory usage: 137 MB
% 13.13/3.00  % (2777643)Instructions burned: 352 (million)
% 13.13/3.00  % (2777643)------------------------------
% 13.13/3.00  % (2777643)------------------------------
% 13.13/3.00  % (2777566)Success in time 1.943 s
% 13.13/3.00  % Vampire exiting
%------------------------------------------------------------------------------