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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 09:44:19 AM UTC 2026

% Result   : Theorem 48.11s 7.10s
% Output   : Refutation 48.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  239 (  53 unt;  19 def)
%            Number of atoms       :  687 ( 131 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  724 ( 276   ~; 296   |; 113   &)
%                                         (  30 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  13 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :  342 (   0 sgn 314   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( stoppedIn(X0,X1,X2)
    <=> ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( happens(X0,X1)
        & initiates(X0,X2,X1)
        & less(n0,X4)
        & trajectory(X2,X1,X3,X4)
        & ~ stoppedIn(X1,X2,plus(X1,X4)) )
     => holdsAt(X3,plus(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( holdsAt(X0,X1)
        & ~ releasedAt(X0,plus(X1,n1))
        & ~ ? [X2] :
              ( happens(X2,X1)
              & terminates(X2,X0,X1) ) )
     => holdsAt(X0,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_holding) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( ~ releasedAt(X0,X1)
        & ~ ? [X2] :
              ( happens(X2,X1)
              & releases(X2,X0,X1) ) )
     => ~ releasedAt(X0,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( happens(X0,X1)
        & initiates(X0,X2,X1) )
     => holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( happens(X0,X1)
        & releases(X0,X2,X1) )
     => releasedAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_releases) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( ( happens(X0,X1)
        & ( initiates(X0,X2,X1)
          | terminates(X0,X2,X1) ) )
     => ~ releasedAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ( X0 = tapOn
          & X1 = filling )
        | ( X0 = overflow
          & X1 = spilling )
        | ? [X3] :
            ( holdsAt(waterLevel(X3),X2)
            & X0 = tapOff
            & X1 = waterLevel(X3) )
        | ? [X3] :
            ( holdsAt(waterLevel(X3),X2)
            & X0 = overflow
            & X1 = waterLevel(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( releases(X0,X1,X2)
    <=> ? [X3] :
          ( X0 = tapOn
          & X1 = waterLevel(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( X0 = tapOn
          & X1 = n0 )
        | ( holdsAt(waterLevel(n3),X1)
          & holdsAt(filling,X1)
          & X0 = overflow ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3] :
      ( ( holdsAt(waterLevel(X0),X1)
        & X2 = plus(X0,X3) )
     => trajectory(filling,X1,waterLevel(X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( ( holdsAt(waterLevel(X1),X0)
        & holdsAt(waterLevel(X2),X0) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).

fof(f27,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

fof(f30,axiom,
    plus(n1,n1) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).

fof(f36,axiom,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
    <=> ( less(X0,X1)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).

fof(f38,axiom,
    ~ ? [X0] : less(X0,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).

fof(f39,axiom,
    ! [X0] :
      ( less(X0,n1)
    <=> less_or_equal(X0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).

fof(f40,axiom,
    ! [X0] :
      ( less(X0,n2)
    <=> less_or_equal(X0,n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).

fof(f41,axiom,
    ! [X0] :
      ( less(X0,n3)
    <=> less_or_equal(X0,n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( ~ less(X1,X0)
        & X1 != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

fof(f49,axiom,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).

fof(f52,axiom,
    ! [X0] : ~ releasedAt(waterLevel(X0),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_released_waterLevel_0) ).

fof(f55,conjecture,
    holdsAt(filling,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_2) ).

fof(f56,negated_conjecture,
    ~ holdsAt(filling,n2),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ( X0 = tapOn
          & X1 = filling )
        | ( X0 = overflow
          & X1 = spilling )
        | ? [X3] :
            ( holdsAt(waterLevel(X3),X2)
            & X0 = tapOff
            & X1 = waterLevel(X3) )
        | ? [X4] :
            ( holdsAt(waterLevel(X4),X2)
            & X0 = overflow
            & waterLevel(X4) = X1 ) ) ),
    inference(rectify,[],[f13]) ).

fof(f58,plain,
    ~ holdsAt(filling,n2),
    inference(flattening,[],[f56]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( stoppedIn(X0,X1,X2)
     => ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) )
      | ~ stoppedIn(X0,X1,X2) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4] :
      ( holdsAt(X3,plus(X1,X4))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1)
      | ~ less(n0,X4)
      | ~ trajectory(X2,X1,X3,X4)
      | stoppedIn(X1,X2,plus(X1,X4)) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3,X4] :
      ( holdsAt(X3,plus(X1,X4))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1)
      | ~ less(n0,X4)
      | ~ trajectory(X2,X1,X3,X4)
      | stoppedIn(X1,X2,plus(X1,X4)) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( holdsAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ? [X2] :
          ( happens(X2,X1)
          & terminates(X2,X0,X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( holdsAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ? [X2] :
          ( happens(X2,X1)
          & terminates(X2,X0,X1) ) ),
    inference(flattening,[],[f66]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | ? [X2] :
          ( happens(X2,X1)
          & releases(X2,X0,X1) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | ? [X2] :
          ( happens(X2,X1)
          & releases(X2,X0,X1) ) ),
    inference(flattening,[],[f72]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1) ),
    inference(flattening,[],[f74]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( releasedAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ releases(X0,X2,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( releasedAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ releases(X0,X2,X1) ),
    inference(flattening,[],[f78]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ~ releasedAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ( ~ initiates(X0,X2,X1)
        & ~ terminates(X0,X2,X1) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ~ releasedAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ( ~ initiates(X0,X2,X1)
        & ~ terminates(X0,X2,X1) ) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0,X1,X2,X3] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | ~ holdsAt(waterLevel(X0),X1)
      | plus(X0,X3) != X2 ),
    inference(ennf_transformation,[],[f17]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | ~ holdsAt(waterLevel(X0),X1)
      | plus(X0,X3) != X2 ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ holdsAt(waterLevel(X1),X0)
      | ~ holdsAt(waterLevel(X2),X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ holdsAt(waterLevel(X1),X0)
      | ~ holdsAt(waterLevel(X2),X0) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0] : ~ less(X0,n0),
    inference(ennf_transformation,[],[f38]) ).

fof(f87,definition,
    ! [X0,X2,X1] :
      ( ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) )
      | ~ sP0(X0,X2,X1) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( sP0(X0,X2,X1)
      | ~ stoppedIn(X0,X1,X2) ),
    inference(definition_folding,[],[f63,f87]) ).

fof(f89,definition,
    ! [X2,X0,X1] :
      ( sP1(X2,X0,X1)
    <=> ? [X4] :
          ( holdsAt(waterLevel(X4),X2)
          & X0 = overflow
          & waterLevel(X4) = X1 ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f90,definition,
    ! [X2,X0,X1] :
      ( sP2(X2,X0,X1)
    <=> ? [X3] :
          ( holdsAt(waterLevel(X3),X2)
          & X0 = tapOff
          & X1 = waterLevel(X3) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f91,definition,
    ! [X0,X1] :
      ( sP3(X0,X1)
    <=> ( X0 = overflow
        & X1 = spilling ) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f92,definition,
    ! [X0,X1,X2] :
      ( sP4(X0,X1,X2)
    <=> ( ( X0 = tapOn
          & X1 = filling )
        | sP3(X0,X1)
        | sP2(X2,X0,X1)
        | sP1(X2,X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> sP4(X0,X1,X2) ),
    inference(definition_folding,[],[f57,f92,f91,f90,f89]) ).

fof(f97,definition,
    ! [X1,X0] :
      ( sP7(X1,X0)
    <=> ( holdsAt(waterLevel(n3),X1)
        & holdsAt(filling,X1)
        & X0 = overflow ) ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f98,definition,
    ! [X0,X1] :
      ( sP8(X0,X1)
    <=> ( ( X0 = tapOn
          & X1 = n0 )
        | sP7(X1,X0) ) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP8(X0,X1) ),
    inference(definition_folding,[],[f16,f98,f97]) ).

fof(f100,plain,
    ! [X0,X2,X1] :
      ( ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X2)
          & terminates(X3,X1,X4) )
      | ~ sP0(X0,X2,X1) ),
    inference(nnf_transformation,[],[f87]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( happens(X3,X4)
          & less(X0,X4)
          & less(X4,X1)
          & terminates(X3,X2,X4) )
      | ~ sP0(X0,X1,X2) ),
    inference(rectify,[],[f100]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ( happens(sK9(X0,X1,X2),sK10(X0,X1,X2))
        & less(X0,sK10(X0,X1,X2))
        & less(sK10(X0,X1,X2),X1)
        & terminates(sK9(X0,X1,X2),X2,sK10(X0,X1,X2)) )
      | ~ sP0(X0,X1,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X3,sK9(X0,X1,X2)),skolemize(X4,sK10(X0,X1,X2))],[f101]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( holdsAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ( happens(sK11(X0,X1),X1)
        & terminates(sK11(X0,X1),X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f67]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | ( happens(sK14(X0,X1),X1)
        & releases(sK14(X0,X1),X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f73]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ( sP4(X0,X1,X2)
        | ( ( tapOn != X0
            | filling != X1 )
          & ~ sP3(X0,X1)
          & ~ sP2(X2,X0,X1)
          & ~ sP1(X2,X0,X1) ) )
      & ( ( X0 = tapOn
          & X1 = filling )
        | sP3(X0,X1)
        | sP2(X2,X0,X1)
        | sP1(X2,X0,X1)
        | ~ sP4(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( ( sP4(X0,X1,X2)
        | ( ( tapOn != X0
            | filling != X1 )
          & ~ sP3(X0,X1)
          & ~ sP2(X2,X0,X1)
          & ~ sP1(X2,X0,X1) ) )
      & ( ( X0 = tapOn
          & X1 = filling )
        | sP3(X0,X1)
        | sP2(X2,X0,X1)
        | sP1(X2,X0,X1)
        | ~ sP4(X0,X1,X2) ) ),
    inference(flattening,[],[f107]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ~ sP4(X0,X1,X2) )
      & ( sP4(X0,X1,X2)
        | ~ initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ( releases(X0,X1,X2)
        | ! [X3] :
            ( tapOn != X0
            | waterLevel(X3) != X1 ) )
      & ( ? [X3] :
            ( X0 = tapOn
            & X1 = waterLevel(X3) )
        | ~ releases(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( releases(X0,X1,X2)
        | ! [X3] :
            ( tapOn != X0
            | waterLevel(X3) != X1 ) )
      & ( ? [X4] :
            ( X0 = tapOn
            & waterLevel(X4) = X1 )
        | ~ releases(X0,X1,X2) ) ),
    inference(rectify,[],[f123]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ( releases(X0,X1,X2)
        | ! [X3] :
            ( tapOn != X0
            | waterLevel(X3) != X1 ) )
      & ( ( X0 = tapOn
          & waterLevel(sK17(X0,X1)) = X1 )
        | ~ releases(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X4,sK17(X0,X1))],[f124]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | ( ( tapOn != X0
            | n0 != X1 )
          & ~ sP7(X1,X0) ) )
      & ( ( X0 = tapOn
          & X1 = n0 )
        | sP7(X1,X0)
        | ~ sP8(X0,X1) ) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | ( ( tapOn != X0
            | n0 != X1 )
          & ~ sP7(X1,X0) ) )
      & ( ( X0 = tapOn
          & X1 = n0 )
        | sP7(X1,X0)
        | ~ sP8(X0,X1) ) ),
    inference(flattening,[],[f126]) ).

fof(f128,plain,
    ! [X1,X0] :
      ( ( sP7(X1,X0)
        | ~ holdsAt(waterLevel(n3),X1)
        | ~ holdsAt(filling,X1)
        | overflow != X0 )
      & ( ( holdsAt(waterLevel(n3),X1)
          & holdsAt(filling,X1)
          & X0 = overflow )
        | ~ sP7(X1,X0) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f129,plain,
    ! [X1,X0] :
      ( ( sP7(X1,X0)
        | ~ holdsAt(waterLevel(n3),X1)
        | ~ holdsAt(filling,X1)
        | overflow != X0 )
      & ( ( holdsAt(waterLevel(n3),X1)
          & holdsAt(filling,X1)
          & X0 = overflow )
        | ~ sP7(X1,X0) ) ),
    inference(flattening,[],[f128]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ( sP7(X0,X1)
        | ~ holdsAt(waterLevel(n3),X0)
        | ~ holdsAt(filling,X0)
        | overflow != X1 )
      & ( ( holdsAt(waterLevel(n3),X0)
          & holdsAt(filling,X0)
          & overflow = X1 )
        | ~ sP7(X0,X1) ) ),
    inference(rectify,[],[f129]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ~ sP8(X0,X1) )
      & ( sP8(X0,X1)
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( less_or_equal(X0,X1)
        | ( ~ less(X0,X1)
          & X0 != X1 ) )
      & ( less(X0,X1)
        | X0 = X1
        | ~ less_or_equal(X0,X1) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( less_or_equal(X0,X1)
        | ( ~ less(X0,X1)
          & X0 != X1 ) )
      & ( less(X0,X1)
        | X0 = X1
        | ~ less_or_equal(X0,X1) ) ),
    inference(flattening,[],[f133]) ).

fof(f135,plain,
    ! [X0] :
      ( ( less(X0,n1)
        | ~ less_or_equal(X0,n0) )
      & ( less_or_equal(X0,n0)
        | ~ less(X0,n1) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f136,plain,
    ! [X0] :
      ( ( less(X0,n2)
        | ~ less_or_equal(X0,n1) )
      & ( less_or_equal(X0,n1)
        | ~ less(X0,n2) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f137,plain,
    ! [X0] :
      ( ( less(X0,n3)
        | ~ less_or_equal(X0,n2) )
      & ( less_or_equal(X0,n2)
        | ~ less(X0,n3) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f144]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | less(sK10(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | less(X0,sK10(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f150,plain,
    ! [X2,X0,X1] :
      ( ~ stoppedIn(X0,X1,X2)
      | sP0(X0,X2,X1) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f151,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ trajectory(X2,X1,X3,X4)
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1)
      | ~ less(n0,X4)
      | holdsAt(X3,plus(X1,X4))
      | stoppedIn(X1,X2,plus(X1,X4)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ holdsAt(X0,X1)
      | holdsAt(X0,plus(X1,n1))
      | releasedAt(X0,plus(X1,n1))
      | happens(sK11(X0,X1),X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | releases(sK14(X0,X1),X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1))
      | ~ initiates(X0,X2,X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( ~ happens(X0,X1)
      | releasedAt(X2,plus(X1,n1))
      | ~ releases(X0,X2,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ releasedAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ initiates(X0,X2,X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f170,plain,
    ! [X2,X0,X1] :
      ( sP4(X0,X1,X2)
      | tapOn != X0
      | filling != X1 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f183,plain,
    ! [X2,X0,X1] :
      ( ~ sP4(X0,X1,X2)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( ~ releases(X0,X1,X2)
      | waterLevel(sK17(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( ~ releases(X0,X1,X2)
      | tapOn = X0 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1] :
      ( releases(X0,X1,X2)
      | tapOn != X0
      | waterLevel(X3) != X1 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ sP8(X0,X1)
      | sP7(X1,X0)
      | n0 = X1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( sP8(X0,X1)
      | tapOn != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ sP7(X0,X1)
      | overflow = X1 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ sP7(X0,X1)
      | holdsAt(waterLevel(n3),X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( sP8(X0,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ~ sP8(X0,X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f206,plain,
    ! [X2,X3,X0,X1] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | ~ holdsAt(waterLevel(X0),X1)
      | plus(X0,X3) != X2 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f207,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(waterLevel(X2),X0)
      | ~ holdsAt(waterLevel(X1),X0)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f217,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f27]) ).

fof(f220,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f30]) ).

fof(f226,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,X1)
      | X0 = X1
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f230,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[],[f86]) ).

fof(f231,plain,
    ! [X0] :
      ( less_or_equal(X0,n0)
      | ~ less(X0,n1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n0)
      | less(X0,n1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n1)
      | less(X0,n2) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f252,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[],[f49]) ).

fof(f255,plain,
    ! [X0] : ~ releasedAt(waterLevel(X0),n0),
    inference(cnf_transformation,[],[f52]) ).

fof(f258,plain,
    ~ holdsAt(filling,n2),
    inference(cnf_transformation,[],[f58]) ).

fof(f259,plain,
    ! [X2,X1] :
      ( sP4(tapOn,X1,X2)
      | filling != X1 ),
    inference(equality_resolution,[],[f170]) ).

fof(f260,plain,
    ! [X2] : sP4(tapOn,filling,X2),
    inference(equality_resolution,[],[f259]) ).

fof(f271,plain,
    ! [X2,X3,X1] :
      ( releases(tapOn,X1,X2)
      | waterLevel(X3) != X1 ),
    inference(equality_resolution,[],[f195]) ).

fof(f272,plain,
    ! [X2,X3] : releases(tapOn,waterLevel(X3),X2),
    inference(equality_resolution,[],[f271]) ).

fof(f273,plain,
    ! [X1] :
      ( sP8(tapOn,X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f199]) ).

fof(f274,plain,
    sP8(tapOn,n0),
    inference(equality_resolution,[],[f273]) ).

fof(f276,plain,
    ! [X3,X0,X1] :
      ( ~ holdsAt(waterLevel(X0),X1)
      | trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
    inference(equality_resolution,[],[f206]) ).

fof(f278,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f228]) ).

fof(f281,plain,
    n1 = plus(n1,n0),
    inference(forward_demodulation,[],[f217,f226]) ).

fof(f284,plain,
    happens(tapOn,n0),
    inference(resolution,[],[f205,f274]) ).

fof(f287,plain,
    less(n0,n1),
    inference(resolution,[],[f232,f278]) ).

fof(f289,plain,
    less(n1,n2),
    inference(resolution,[],[f234,f278]) ).

fof(f291,plain,
    less(n2,n3),
    inference(resolution,[],[f236,f278]) ).

fof(f297,plain,
    ! [X0] : initiates(tapOn,filling,X0),
    inference(resolution,[],[f183,f260]) ).

fof(f304,plain,
    ! [X0] :
      ( holdsAt(X0,plus(n0,n1))
      | ~ initiates(tapOn,X0,n0) ),
    inference(resolution,[],[f160,f284]) ).

fof(f305,plain,
    ! [X0] :
      ( holdsAt(X0,plus(n1,n0))
      | ~ initiates(tapOn,X0,n0) ),
    inference(forward_demodulation,[],[f304,f226]) ).

fof(f306,plain,
    ! [X0] :
      ( ~ initiates(tapOn,X0,n0)
      | holdsAt(X0,n1) ),
    inference(forward_demodulation,[],[f305,f281]) ).

fof(f308,plain,
    ! [X0] :
      ( releasedAt(X0,plus(n0,n1))
      | ~ releases(tapOn,X0,n0) ),
    inference(resolution,[],[f162,f284]) ).

fof(f309,plain,
    ! [X0] :
      ( releasedAt(X0,plus(n1,n0))
      | ~ releases(tapOn,X0,n0) ),
    inference(forward_demodulation,[],[f308,f226]) ).

fof(f310,plain,
    ! [X0] :
      ( ~ releases(tapOn,X0,n0)
      | releasedAt(X0,n1) ),
    inference(forward_demodulation,[],[f309,f281]) ).

fof(f320,plain,
    ! [X0] :
      ( ~ releasedAt(X0,n2)
      | releasedAt(X0,n1)
      | releases(sK14(X0,n1),X0,n1) ),
    inference(superposition,[],[f158,f220]) ).

fof(f322,plain,
    ~ less(n2,n1),
    inference(resolution,[],[f250,f289]) ).

fof(f439,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X2,X1,X0)
      | ~ happens(X2,X0)
      | ~ releasedAt(X1,plus(n1,X0)) ),
    inference(superposition,[],[f164,f226]) ).

fof(f442,plain,
    ! [X0] :
      ( n0 = X0
      | less(X0,n0)
      | ~ less(X0,n1) ),
    inference(resolution,[],[f227,f231]) ).

fof(f448,plain,
    ! [X0] :
      ( ~ less(X0,n1)
      | n0 = X0 ),
    inference(global_subsumption,[],[f442,f230]) ).

fof(f480,definition,
    ( spl18_15
  <=> n1 = n3 ),
    introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).

fof(f482,plain,
    ( n1 = n3
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f495,plain,
    ( less(n2,n1)
    | ~ spl18_15 ),
    inference(superposition,[],[f291,f482]) ).

fof(f521,plain,
    ( $false
    | ~ spl18_15 ),
    inference(global_subsumption,[],[f495,f322]) ).

fof(f522,plain,
    ~ spl18_15,
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f756,plain,
    ! [X0] :
      ( ~ happens(tapOn,X0)
      | ~ releasedAt(filling,plus(n1,X0)) ),
    inference(resolution,[],[f439,f297]) ).

fof(f6169,plain,
    holdsAt(filling,n1),
    inference(resolution,[],[f306,f297]) ).

fof(f6237,plain,
    ( holdsAt(filling,plus(n1,n1))
    | releasedAt(filling,plus(n1,n1))
    | happens(sK11(filling,n1),n1) ),
    inference(resolution,[],[f6169,f153]) ).

fof(f6238,plain,
    ( holdsAt(filling,n2)
    | releasedAt(filling,plus(n1,n1))
    | happens(sK11(filling,n1),n1) ),
    inference(forward_demodulation,[],[f6237,f220]) ).

fof(f6242,plain,
    ( releasedAt(filling,n2)
    | holdsAt(filling,n2)
    | happens(sK11(filling,n1),n1) ),
    inference(forward_demodulation,[],[f6238,f220]) ).

fof(f6249,definition,
    ( spl18_85
  <=> releasedAt(filling,n1) ),
    introduced(definition,[new_symbols(definition,[spl18_85])],[avatar_definition]) ).

fof(f6258,plain,
    ( releasedAt(filling,n2)
    | happens(sK11(filling,n1),n1) ),
    inference(global_subsumption,[],[f6242,f258]) ).

fof(f6261,definition,
    ( spl18_87
  <=> happens(sK11(filling,n1),n1) ),
    introduced(definition,[new_symbols(definition,[spl18_87])],[avatar_definition]) ).

fof(f6263,plain,
    ( happens(sK11(filling,n1),n1)
    | ~ spl18_87 ),
    inference(avatar_component_clause,[],[f6261]) ).

fof(f6265,definition,
    ( spl18_88
  <=> releasedAt(filling,n2) ),
    introduced(definition,[new_symbols(definition,[spl18_88])],[avatar_definition]) ).

fof(f6267,plain,
    ( releasedAt(filling,n2)
    | ~ spl18_88 ),
    inference(avatar_component_clause,[],[f6265]) ).

fof(f6268,plain,
    ( spl18_87
    | spl18_88 ),
    inference(avatar_split_clause,[],[f6258,f6265,f6261]) ).

fof(f7140,plain,
    ! [X0] : releasedAt(waterLevel(X0),n1),
    inference(resolution,[],[f310,f272]) ).

fof(f7704,plain,
    ~ releasedAt(filling,plus(n1,n0)),
    inference(resolution,[],[f756,f284]) ).

fof(f7705,plain,
    ~ releasedAt(filling,n1),
    inference(forward_demodulation,[],[f7704,f281]) ).

fof(f9190,plain,
    ! [X0,X1] :
      ( sP7(X0,X1)
      | n0 = X0
      | ~ happens(X1,X0) ),
    inference(resolution,[],[f196,f204]) ).

fof(f10130,plain,
    ! [X0,X1] :
      ( ~ happens(X1,X0)
      | n0 = X0
      | holdsAt(waterLevel(n3),X0) ),
    inference(resolution,[],[f9190,f202]) ).

fof(f10132,plain,
    ! [X0,X1] :
      ( ~ happens(X1,X0)
      | n0 = X0
      | overflow = X1 ),
    inference(resolution,[],[f9190,f200]) ).

fof(f10336,definition,
    ( spl18_114
  <=> n0 = n1 ),
    introduced(definition,[new_symbols(definition,[spl18_114])],[avatar_definition]) ).

fof(f10338,plain,
    ( n0 = n1
    | ~ spl18_114 ),
    inference(avatar_component_clause,[],[f10336]) ).

fof(f10455,plain,
    ( ! [X0] : ~ releasedAt(waterLevel(X0),n1)
    | ~ spl18_114 ),
    inference(superposition,[],[f255,f10338]) ).

fof(f10520,plain,
    ( $false
    | ~ spl18_114 ),
    inference(global_subsumption,[],[f10455,f7140]) ).

fof(f10521,plain,
    ~ spl18_114,
    inference(avatar_contradiction_clause,[],[f10520]) ).

fof(f10596,plain,
    ( releasedAt(filling,n1)
    | releases(sK14(filling,n1),filling,n1)
    | ~ spl18_88 ),
    inference(resolution,[],[f6267,f320]) ).

fof(f10610,definition,
    ( spl18_116
  <=> releases(sK14(filling,n1),filling,n1) ),
    introduced(definition,[new_symbols(definition,[spl18_116])],[avatar_definition]) ).

fof(f10612,plain,
    ( releases(sK14(filling,n1),filling,n1)
    | ~ spl18_116 ),
    inference(avatar_component_clause,[],[f10610]) ).

fof(f10613,plain,
    ( spl18_116
    | spl18_85
    | ~ spl18_88 ),
    inference(avatar_split_clause,[],[f10596,f6265,f6249,f10610]) ).

fof(f11108,plain,
    ( n0 = n1
    | overflow = sK11(filling,n1)
    | ~ spl18_87 ),
    inference(resolution,[],[f6263,f10132]) ).

fof(f11119,definition,
    ( spl18_121
  <=> overflow = sK11(filling,n1) ),
    introduced(definition,[new_symbols(definition,[spl18_121])],[avatar_definition]) ).

fof(f11121,plain,
    ( overflow = sK11(filling,n1)
    | ~ spl18_121 ),
    inference(avatar_component_clause,[],[f11119]) ).

fof(f11122,plain,
    ( spl18_121
    | spl18_114
    | ~ spl18_87 ),
    inference(avatar_split_clause,[],[f11108,f6261,f10336,f11119]) ).

fof(f11371,plain,
    ( happens(overflow,n1)
    | ~ spl18_87
    | ~ spl18_121 ),
    inference(superposition,[],[f6263,f11121]) ).

fof(f12281,plain,
    ( filling = waterLevel(sK17(sK14(filling,n1),filling))
    | ~ spl18_116 ),
    inference(resolution,[],[f10612,f193]) ).

fof(f12282,plain,
    ( tapOn = sK14(filling,n1)
    | ~ spl18_116 ),
    inference(resolution,[],[f10612,f194]) ).

fof(f12290,plain,
    ( filling = waterLevel(sK17(tapOn,filling))
    | ~ spl18_116 ),
    inference(forward_demodulation,[],[f12281,f12282]) ).

fof(f12802,plain,
    ( releasedAt(filling,n1)
    | ~ spl18_116 ),
    inference(superposition,[],[f7140,f12290]) ).

fof(f12810,plain,
    ( spl18_85
    | ~ spl18_116 ),
    inference(avatar_split_clause,[],[f12802,f10610,f6249]) ).

fof(f13186,plain,
    ~ spl18_85,
    inference(avatar_split_clause,[],[f7705,f6249]) ).

fof(f17384,plain,
    ! [X0] : trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
    inference(resolution,[],[f276,f252]) ).

fof(f17439,plain,
    ! [X0,X1] :
      ( ~ happens(X0,n0)
      | ~ initiates(X0,filling,n0)
      | ~ less(n0,X1)
      | holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
      | stoppedIn(n0,filling,plus(n0,X1)) ),
    inference(resolution,[],[f17384,f151]) ).

fof(f17446,definition,
    ( spl18_186
  <=> ! [X1] :
        ( ~ less(n0,X1)
        | stoppedIn(n0,filling,plus(n0,X1))
        | holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl18_186])],[avatar_definition]) ).

fof(f17447,plain,
    ( ! [X1] :
        ( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
        | stoppedIn(n0,filling,plus(n0,X1))
        | ~ less(n0,X1) )
    | ~ spl18_186 ),
    inference(avatar_component_clause,[],[f17446]) ).

fof(f17449,definition,
    ( spl18_187
  <=> ! [X0] :
        ( ~ happens(X0,n0)
        | ~ initiates(X0,filling,n0) ) ),
    introduced(definition,[new_symbols(definition,[spl18_187])],[avatar_definition]) ).

fof(f17450,plain,
    ( ! [X0] :
        ( ~ initiates(X0,filling,n0)
        | ~ happens(X0,n0) )
    | ~ spl18_187 ),
    inference(avatar_component_clause,[],[f17449]) ).

fof(f17451,plain,
    ( spl18_186
    | spl18_187 ),
    inference(avatar_split_clause,[],[f17439,f17449,f17446]) ).

fof(f17630,plain,
    ( ~ happens(tapOn,n0)
    | ~ spl18_187 ),
    inference(resolution,[],[f17450,f297]) ).

fof(f17631,plain,
    ( $false
    | ~ spl18_187 ),
    inference(global_subsumption,[],[f17630,f284]) ).

fof(f17632,plain,
    ~ spl18_187,
    inference(avatar_contradiction_clause,[],[f17631]) ).

fof(f17757,plain,
    ( n0 = n1
    | holdsAt(waterLevel(n3),n1)
    | ~ spl18_87
    | ~ spl18_121 ),
    inference(resolution,[],[f10130,f11371]) ).

fof(f17763,definition,
    ( spl18_210
  <=> holdsAt(waterLevel(n3),n1) ),
    introduced(definition,[new_symbols(definition,[spl18_210])],[avatar_definition]) ).

fof(f17765,plain,
    ( holdsAt(waterLevel(n3),n1)
    | ~ spl18_210 ),
    inference(avatar_component_clause,[],[f17763]) ).

fof(f17767,plain,
    ( spl18_210
    | spl18_114
    | ~ spl18_87
    | ~ spl18_121 ),
    inference(avatar_split_clause,[],[f17757,f11119,f6261,f10336,f17763]) ).

fof(f17935,plain,
    ( ! [X0] :
        ( holdsAt(waterLevel(plus(X0,n0)),plus(X0,n0))
        | stoppedIn(n0,filling,plus(X0,n0))
        | ~ less(n0,X0) )
    | ~ spl18_186 ),
    inference(superposition,[],[f17447,f226]) ).

fof(f17957,definition,
    ( spl18_225
  <=> stoppedIn(n0,filling,n1) ),
    introduced(definition,[new_symbols(definition,[spl18_225])],[avatar_definition]) ).

fof(f17959,plain,
    ( stoppedIn(n0,filling,n1)
    | ~ spl18_225 ),
    inference(avatar_component_clause,[],[f17957]) ).

fof(f17974,plain,
    ( sP0(n0,n1,filling)
    | ~ spl18_225 ),
    inference(resolution,[],[f17959,f150]) ).

fof(f17982,plain,
    ( less(n0,sK10(n0,n1,filling))
    | ~ spl18_225 ),
    inference(resolution,[],[f17974,f148]) ).

fof(f17983,plain,
    ( less(sK10(n0,n1,filling),n1)
    | ~ spl18_225 ),
    inference(resolution,[],[f17974,f147]) ).

fof(f18161,plain,
    ( ! [X0,X1] :
        ( ~ holdsAt(waterLevel(X1),plus(X0,n0))
        | ~ less(n0,X0)
        | stoppedIn(n0,filling,plus(X0,n0))
        | plus(X0,n0) = X1 )
    | ~ spl18_186 ),
    inference(resolution,[],[f17935,f207]) ).

fof(f18499,plain,
    ( ! [X0] :
        ( ~ holdsAt(waterLevel(X0),n1)
        | ~ less(n0,n1)
        | stoppedIn(n0,filling,n1)
        | n1 = X0 )
    | ~ spl18_186 ),
    inference(superposition,[],[f18161,f281]) ).

fof(f18654,plain,
    ( n0 = sK10(n0,n1,filling)
    | ~ spl18_225 ),
    inference(resolution,[],[f17983,f448]) ).

fof(f19279,plain,
    ( less(n0,n0)
    | ~ spl18_225 ),
    inference(superposition,[],[f17982,f18654]) ).

fof(f19386,plain,
    ( $false
    | ~ spl18_225 ),
    inference(resolution,[],[f19279,f230]) ).

fof(f19390,plain,
    ~ spl18_225,
    inference(avatar_contradiction_clause,[],[f19386]) ).

fof(f19403,plain,
    ( ! [X0] :
        ( ~ holdsAt(waterLevel(X0),n1)
        | stoppedIn(n0,filling,n1)
        | n1 = X0 )
    | ~ spl18_186 ),
    inference(global_subsumption,[],[f18499,f287]) ).

fof(f19434,definition,
    ( spl18_302
  <=> ! [X0] :
        ( ~ holdsAt(waterLevel(X0),n1)
        | n1 = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl18_302])],[avatar_definition]) ).

fof(f19435,plain,
    ( ! [X0] :
        ( ~ holdsAt(waterLevel(X0),n1)
        | n1 = X0 )
    | ~ spl18_302 ),
    inference(avatar_component_clause,[],[f19434]) ).

fof(f19436,plain,
    ( spl18_225
    | spl18_302
    | ~ spl18_186 ),
    inference(avatar_split_clause,[],[f19403,f17446,f19434,f17957]) ).

fof(f19731,plain,
    ( n1 = n3
    | ~ spl18_210
    | ~ spl18_302 ),
    inference(resolution,[],[f19435,f17765]) ).

fof(f19736,plain,
    ( spl18_15
    | ~ spl18_210
    | ~ spl18_302 ),
    inference(avatar_split_clause,[],[f19731,f19434,f17763,f480]) ).

cnf(s211,plain,
    ~ spl18_15,
    inference(sat_conversion,[],[f522]) ).

cnf(s1144,plain,
    ( spl18_87
    | spl18_88 ),
    inference(sat_conversion,[],[f6268]) ).

cnf(s1405,plain,
    ~ spl18_114,
    inference(sat_conversion,[],[f10521]) ).

cnf(s1416,plain,
    ( spl18_85
    | ~ spl18_88
    | spl18_116 ),
    inference(sat_conversion,[],[f10613]) ).

cnf(s1447,plain,
    ( ~ spl18_87
    | spl18_114
    | spl18_121 ),
    inference(sat_conversion,[],[f11122]) ).

cnf(s1503,plain,
    ( spl18_85
    | ~ spl18_116 ),
    inference(sat_conversion,[],[f12810]) ).

cnf(s1528,plain,
    ~ spl18_85,
    inference(sat_conversion,[],[f13186]) ).

cnf(s1912,plain,
    ( spl18_186
    | spl18_187 ),
    inference(sat_conversion,[],[f17451]) ).

cnf(s1997,plain,
    ~ spl18_187,
    inference(sat_conversion,[],[f17632]) ).

cnf(s2039,plain,
    ( ~ spl18_87
    | spl18_114
    | ~ spl18_121
    | spl18_210 ),
    inference(sat_conversion,[],[f17767]) ).

cnf(s2492,plain,
    ~ spl18_225,
    inference(sat_conversion,[],[f19390]) ).

cnf(s2521,plain,
    ( ~ spl18_186
    | spl18_225
    | spl18_302 ),
    inference(sat_conversion,[],[f19436]) ).

cnf(s2644,plain,
    ( spl18_15
    | ~ spl18_210
    | ~ spl18_302 ),
    inference(sat_conversion,[],[f19736]) ).

cnf(s2652,plain,
    spl18_186,
    inference(rat,[],[s1912,s1997]) ).

cnf(s2653,plain,
    spl18_302,
    inference(rat,[],[s2521,s2492,s2652]) ).

cnf(s2657,plain,
    ~ spl18_116,
    inference(rat,[],[s1503,s1528]) ).

cnf(s2658,plain,
    ~ spl18_88,
    inference(rat,[],[s1416,s2657,s1528]) ).

cnf(s2667,plain,
    spl18_87,
    inference(rat,[],[s1144,s2658]) ).

cnf(s2668,plain,
    spl18_121,
    inference(rat,[],[s1447,s1405,s2667]) ).

cnf(s2672,plain,
    spl18_210,
    inference(rat,[],[s2039,s2667,s1405,s2668]) ).

cnf(s2674,plain,
    spl18_15,
    inference(rat,[],[s2644,s2653,s2672]) ).

cnf(s2742,plain,
    $false,
    inference(rat,[],[s211,s2674]) ).

fof(f19737,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2742]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.15  % Computer : n012.cluster.edu
% 0.09/0.15  % Model    : x86_64 x86_64
% 0.09/0.15  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15  % Memory   : 8046.5625MB
% 0.09/0.15  % OS       : Linux 6.8.0-71-generic
% 0.09/0.15  % CPULimit : 300
% 0.09/0.15  % WCLimit  : 300
% 0.09/0.15  % DateTime : Mon Sep 28 22:05:04 UTC 2026
% 0.09/0.15  % CPUTime  : 
% 0.09/0.15  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  Running first-order model finding
% 0.09/0.18  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.65/2.18  % (3840014)Will run a generic schedule for satisfiability detection.
% 13.65/2.18  % (3840020)% WARNING: option uhcvi not known.
% 13.65/2.18  % (3840023)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4063551893:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.65/2.18  % (3840024)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3220833196:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.65/2.18  % (3840019)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3554645566_2999 on theBenchmark for (2999ds/0Mi)
% 13.65/2.18  % (3840021)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3940014615:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.65/2.18  % (3840022)dis+10_1_sil=32000:sp=arity:random_seed=3024653367:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.65/2.18  % (3840020)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4174138583:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.65/2.18  % (3840025)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1017604158:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.65/2.18  % Detected minimum model sizes of [3]
% 13.65/2.18  % Detected maximum model sizes of [max]
% 13.65/2.18  % TRYING [3]
% 13.65/2.18  % TRYING [4]
% 13.65/2.18  % TRYING [5]
% 13.65/2.18  % (3840022)Instruction limit reached! 
% 13.65/2.18  % (3840022)------------------------------
% 13.65/2.18  % (3840022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.18  % (3840022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.18  % (3840022)CaDiCaL version: 2.1.3
% 13.65/2.18  % (3840022)Termination reason: Instruction limit
% 13.65/2.18  % (3840022)Termination phase: Saturation
% 13.65/2.18  % (3840022)Time elapsed: 0.058 s
% 13.65/2.18  % (3840022)Peak memory usage: 12 MB
% 13.65/2.18  % (3840022)Instructions burned: 105 (million)
% 13.65/2.18  % (3840023)Instruction limit reached! 
% 13.65/2.18  % (3840023)------------------------------
% 13.65/2.18  % (3840023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.18  % (3840023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.18  % (3840023)CaDiCaL version: 2.1.3
% 13.65/2.18  % (3840023)Termination reason: Instruction limit
% 13.65/2.18  % (3840023)Termination phase: Saturation
% 13.65/2.18  % (3840023)Time elapsed: 0.062 s
% 13.65/2.18  % (3840023)Peak memory usage: 13 MB
% 13.65/2.18  % (3840023)Instructions burned: 116 (million)
% 13.65/2.18  % (3840033)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=877549265:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.65/2.18  % (3840024)Instruction limit reached! 
% 13.65/2.18  % (3840024)------------------------------
% 13.65/2.18  % (3840024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.18  % (3840024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.18  % (3840024)CaDiCaL version: 2.1.3
% 13.65/2.18  % (3840024)Termination reason: Instruction limit
% 13.65/2.18  % (3840024)Termination phase: Saturation
% 13.65/2.18  % (3840024)Time elapsed: 0.075 s
% 13.65/2.18  % (3840024)Peak memory usage: 13 MB
% 13.65/2.18  % (3840024)Instructions burned: 132 (million)
% 13.65/2.18  % TRYING [6]
% 13.65/2.18  % Detected minimum model sizes of [3]
% 13.65/2.18  % Detected maximum model sizes of [max]
% 13.65/2.18  % TRYING [3]
% 13.65/2.18  % (3840034)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3832963138:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.65/2.18  % TRYING [4]
% 13.65/2.18  % (3840025)Instruction limit reached! 
% 13.65/2.18  % (3840025)------------------------------
% 13.65/2.18  % (3840025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.18  % (3840025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.18  % (3840025)CaDiCaL version: 2.1.3
% 13.65/2.18  % (3840025)Termination reason: Instruction limit
% 13.65/2.18  % (3840025)Termination phase: Saturation
% 13.65/2.18  % (3840025)Time elapsed: 0.087 s
% 13.65/2.18  % (3840025)Peak memory usage: 13 MB
% 13.65/2.18  % (3840025)Instructions burned: 159 (million)
% 13.65/2.18  % TRYING [5]
% 13.65/2.18  % (3840038)ott-21_1_sil=16000:fs=off:random_seed=1538710417:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.65/2.18  % (3840036)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=699704530:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 13.65/2.18  % TRYING [6]
% 13.65/2.18  % (3840034)Instruction limit reached! 
% 30.83/4.62  % (3840034)------------------------------
% 30.83/4.62  % (3840034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.62  % (3840034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.62  % (3840034)CaDiCaL version: 2.1.3
% 30.83/4.62  % (3840034)Termination reason: Instruction limit
% 30.83/4.62  % (3840034)Termination phase: Saturation
% 30.83/4.62  % (3840034)Time elapsed: 0.071 s
% 30.83/4.62  % (3840034)Peak memory usage: 13 MB
% 30.83/4.62  % (3840034)Instructions burned: 132 (million)
% 30.83/4.62  % TRYING [7]
% 30.83/4.62  % (3840041)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2792190714:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 30.83/4.62  % (3840038)Instruction limit reached! 
% 30.83/4.62  % (3840038)------------------------------
% 30.83/4.62  % (3840038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.62  % (3840038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.62  % (3840038)CaDiCaL version: 2.1.3
% 30.83/4.62  % (3840038)Termination reason: Instruction limit
% 30.83/4.62  % (3840038)Termination phase: Saturation
% 30.83/4.62  % (3840038)Time elapsed: 0.090 s
% 30.83/4.62  % (3840038)Peak memory usage: 12 MB
% 30.83/4.62  % (3840038)Instructions burned: 180 (million)
% 30.83/4.62  % (3840043)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3347665996:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 30.83/4.62  % Detected minimum model sizes of [3]
% 30.83/4.62  % Detected maximum model sizes of [max]
% 30.83/4.62  % TRYING [3]
% 30.83/4.62  % TRYING [4]
% 30.83/4.62  % TRYING [7]
% 30.83/4.62  % TRYING [5]
% 30.83/4.62  % TRYING [8]
% 30.83/4.62  % (3840033)Instruction limit reached! 
% 30.83/4.62  % (3840033)------------------------------
% 30.83/4.62  % (3840033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.62  % (3840033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.62  % (3840033)CaDiCaL version: 2.1.3
% 30.83/4.62  % (3840033)Termination reason: Instruction limit
% 30.83/4.62  % (3840033)Termination phase: Finite model building constraint generation
% 30.83/4.62  % (3840033)Time elapsed: 0.268 s
% 30.83/4.62  % (3840033)Peak memory usage: 28 MB
% 30.83/4.62  % (3840033)Instructions burned: 714 (million)
% 30.83/4.62  % (3840045)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2855107630:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 30.83/4.62  % (3840036)Instruction limit reached! 
% 30.83/4.62  % (3840036)------------------------------
% 30.83/4.62  % (3840036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.62  % (3840036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.62  % (3840036)CaDiCaL version: 2.1.3
% 30.83/4.62  % (3840036)Termination reason: Instruction limit
% 30.83/4.62  % (3840036)Termination phase: Saturation
% 30.83/4.62  % (3840036)Time elapsed: 0.294 s
% 30.83/4.62  % (3840036)Peak memory usage: 13 MB
% 30.83/4.62  % (3840036)Instructions burned: 684 (million)
% 30.83/4.62  % TRYING [6]
% 30.83/4.62  % (3840047)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=416664389:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 30.83/4.62  % (3840041)Instruction limit reached! 
% 30.83/4.62  % (3840041)------------------------------
% 30.83/4.62  % (3840041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.62  % (3840041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.62  % (3840041)CaDiCaL version: 2.1.3
% 30.83/4.62  % (3840041)Termination reason: Instruction limit
% 30.83/4.62  % (3840041)Termination phase: Saturation
% 30.83/4.62  % (3840041)Time elapsed: 0.261 s
% 30.83/4.62  % (3840041)Peak memory usage: 14 MB
% 30.83/4.62  % (3840041)Instructions burned: 478 (million)
% 30.83/4.62  % (3840049)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3343203299:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 30.83/4.62  % TRYING [14]
% 30.83/4.62  % (3840043)Instruction limit reached! 
% 30.83/4.62  % (3840043)------------------------------
% 30.83/4.62  % (3840043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.83/4.62  % (3840043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/4.62  % (3840043)CaDiCaL version: 2.1.3
% 30.83/4.62  % (3840043)Termination reason: Instruction limit
% 30.83/4.62  % (3840043)Termination phase: Finite model building SAT solving
% 30.83/4.62  % (3840043)Time elapsed: 0.354 s
% 30.83/4.62  % (3840043)Peak memory usage: 25 MB
% 30.83/4.62  % (3840043)Instructions burned: 868 (million)
% 48.11/7.10  % TRYING [9]
% 48.11/7.10  % (3840051)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1314994888:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 48.11/7.10  % (3840047)Instruction limit reached! 
% 48.11/7.10  % (3840047)------------------------------
% 48.11/7.10  % (3840047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840047)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840047)Termination reason: Instruction limit
% 48.11/7.10  % (3840047)Termination phase: Finite model building constraint generation
% 48.11/7.10  % (3840047)Time elapsed: 0.369 s
% 48.11/7.10  % (3840047)Peak memory usage: 79 MB
% 48.11/7.10  % (3840047)Instructions burned: 889 (million)
% 48.11/7.10  % (3840049)Instruction limit reached! 
% 48.11/7.10  % (3840049)------------------------------
% 48.11/7.10  % (3840049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840049)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840049)Termination reason: Instruction limit
% 48.11/7.10  % (3840049)Termination phase: Saturation
% 48.11/7.10  % (3840049)Time elapsed: 0.340 s
% 48.11/7.10  % (3840049)Peak memory usage: 16 MB
% 48.11/7.10  % (3840049)Instructions burned: 692 (million)
% 48.11/7.10  % (3840054)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3821099357:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 48.11/7.10  % (3840053)fmb+10_1_sil=64000:random_seed=2938637722:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 48.11/7.10  % Detected minimum model sizes of [3]
% 48.11/7.10  % Detected maximum model sizes of [max]
% 48.11/7.10  % TRYING [20]
% 48.11/7.10  % Detected minimum model sizes of [3]
% 48.11/7.10  % Detected maximum model sizes of [max]
% 48.11/7.10  % TRYING [3]
% 48.11/7.10  % TRYING [4]
% 48.11/7.10  % (3840045)Instruction limit reached! 
% 48.11/7.10  % (3840045)------------------------------
% 48.11/7.10  % (3840045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840045)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840045)Termination reason: Instruction limit
% 48.11/7.10  % (3840045)Termination phase: Saturation
% 48.11/7.10  % (3840045)Time elapsed: 0.518 s
% 48.11/7.10  % (3840045)Peak memory usage: 18 MB
% 48.11/7.10  % (3840045)Instructions burned: 1181 (million)
% 48.11/7.10  % TRYING [5]
% 48.11/7.10  % (3840057)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2224090490:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 48.11/7.10  % Detected minimum model sizes of [3]
% 48.11/7.10  % Detected maximum model sizes of [max]
% 48.11/7.10  % TRYING [8]
% 48.11/7.10  % TRYING [6]
% 48.11/7.10  % (3840051)Instruction limit reached! 
% 48.11/7.10  % (3840051)------------------------------
% 48.11/7.10  % (3840051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840051)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840051)Termination reason: Instruction limit
% 48.11/7.10  % (3840051)Termination phase: Saturation
% 48.11/7.10  % (3840051)Time elapsed: 0.476 s
% 48.11/7.10  % (3840051)Peak memory usage: 19 MB
% 48.11/7.10  % (3840051)Instructions burned: 880 (million)
% 48.11/7.10  % TRYING [10]
% 48.11/7.10  % TRYING [7]
% 48.11/7.10  % (3840059)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2245091807:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 48.11/7.10  % TRYING [9]
% 48.11/7.10  % (3840057)Instruction limit reached! 
% 48.11/7.10  % (3840057)------------------------------
% 48.11/7.10  % (3840057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840057)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840057)Termination reason: Instruction limit
% 48.11/7.10  % (3840057)Termination phase: Finite model building constraint generation
% 48.11/7.10  % (3840057)Time elapsed: 0.371 s
% 48.11/7.10  % (3840057)Peak memory usage: 52 MB
% 48.11/7.10  % (3840057)Instructions burned: 921 (million)
% 48.11/7.10  % (3840061)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3499771970:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 48.11/7.10  % TRYING [8]
% 48.11/7.10  % TRYING [11]
% 48.11/7.10  % (3840061)Instruction limit reached! 
% 48.11/7.10  % (3840061)------------------------------
% 48.11/7.10  % (3840061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840061)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840061)Termination reason: Instruction limit
% 48.11/7.10  % (3840061)Termination phase: Saturation
% 48.11/7.10  % (3840061)Time elapsed: 0.640 s
% 48.11/7.10  % (3840061)Peak memory usage: 26 MB
% 48.11/7.10  % (3840061)Instructions burned: 1475 (million)
% 48.11/7.10  % (3840063)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2005369730:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 48.11/7.10  % Detected minimum model sizes of [3]
% 48.11/7.10  % Detected maximum model sizes of [max]
% 48.11/7.10  % TRYING [77]
% 48.11/7.10  % TRYING [9]
% 48.11/7.10  % TRYING [10]
% 48.11/7.10  % (3840059)Instruction limit reached! 
% 48.11/7.10  % (3840059)------------------------------
% 48.11/7.10  % (3840059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840059)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840059)Termination reason: Instruction limit
% 48.11/7.10  % (3840059)Termination phase: Saturation
% 48.11/7.10  % (3840059)Time elapsed: 2.211 s
% 48.11/7.10  % (3840059)Peak memory usage: 24 MB
% 48.11/7.10  % (3840059)Instructions burned: 5134 (million)
% 48.11/7.10  % (3840066)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2937656011:fmbsr=2.30978:i=2174_2966 on theBenchmark for (2966ds/2174Mi)
% 48.11/7.10  % TRYING [12]
% 48.11/7.10  % Detected minimum model sizes of [3]
% 48.11/7.10  % Detected maximum model sizes of [max]
% 48.11/7.10  % TRYING [16]
% 48.11/7.10  % (3840066)Instruction limit reached! 
% 48.11/7.10  % (3840066)------------------------------
% 48.11/7.10  % (3840066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840066)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840066)Termination reason: Instruction limit
% 48.11/7.10  % (3840066)Termination phase: Finite model building constraint generation
% 48.11/7.10  % (3840066)Time elapsed: 0.527 s
% 48.11/7.10  % (3840066)Peak memory usage: 134 MB
% 48.11/7.10  % (3840066)Instructions burned: 2175 (million)
% 48.11/7.10  % (3840068)ott-2_1_sil=16000:newcnf=on:random_seed=3171410157:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2960 on theBenchmark for (2960ds/869Mi)
% 48.11/7.10  % (3840054)Instruction limit reached! 
% 48.11/7.10  % (3840054)------------------------------
% 48.11/7.10  % (3840054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840054)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840054)Termination reason: Instruction limit
% 48.11/7.10  % (3840054)Termination phase: Finite model building constraint generation
% 48.11/7.10  % (3840054)Time elapsed: 3.239 s
% 48.11/7.10  % (3840054)Peak memory usage: 611 MB
% 48.11/7.10  % (3840054)Instructions burned: 9516 (million)
% 48.11/7.10  % (3840070)ott+10_1_sil=32000:tgt=ground:random_seed=3339647492:i=5114:av=off_2958 on theBenchmark for (2958ds/5114Mi)
% 48.11/7.10  % (3840063)Instruction limit reached! 
% 48.11/7.10  % (3840063)------------------------------
% 48.11/7.10  % (3840063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840063)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840063)Termination reason: Instruction limit
% 48.11/7.10  % (3840063)Termination phase: Finite model building constraint generation
% 48.11/7.10  % (3840063)Time elapsed: 2.330 s
% 48.11/7.10  % (3840063)Peak memory usage: 516 MB
% 48.11/7.10  % (3840063)Instructions burned: 6325 (million)
% 48.11/7.10  % (3840068)Instruction limit reached! 
% 48.11/7.10  % (3840068)------------------------------
% 48.11/7.10  % (3840068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840068)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840068)Termination reason: Instruction limit
% 48.11/7.10  % (3840068)Termination phase: Saturation
% 48.11/7.10  % (3840068)Time elapsed: 0.393 s
% 48.11/7.10  % (3840068)Peak memory usage: 15 MB
% 48.11/7.10  % (3840068)Instructions burned: 870 (million)
% 48.11/7.10  % (3840072)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3922823146:i=54282_2956 on theBenchmark for (2956ds/54282Mi)
% 48.11/7.10  % Detected minimum model sizes of [3]
% 48.11/7.10  % Detected maximum model sizes of [max]
% 48.11/7.10  % TRYING [3]
% 48.11/7.10  % TRYING [4]
% 48.11/7.10  % TRYING [5]
% 48.11/7.10  % (3840074)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2701808092:i=3512:aac=none_2955 on theBenchmark for (2955ds/3512Mi)
% 48.11/7.10  % TRYING [6]
% 48.11/7.10  % TRYING [7]
% 48.11/7.10  % TRYING [8]
% 48.11/7.10  % TRYING [11]
% 48.11/7.10  % TRYING [9]
% 48.11/7.10  % TRYING [10]
% 48.11/7.10  % TRYING [13]
% 48.11/7.10  % (3840074)Instruction limit reached! 
% 48.11/7.10  % (3840074)------------------------------
% 48.11/7.10  % (3840074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840074)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840074)Termination reason: Instruction limit
% 48.11/7.10  % (3840074)Termination phase: Saturation
% 48.11/7.10  % (3840074)Time elapsed: 1.654 s
% 48.11/7.10  % (3840074)Peak memory usage: 26 MB
% 48.11/7.10  % (3840074)Instructions burned: 3514 (million)
% 48.11/7.10  % (3840078)dis+21_1_sil=32000:sas=cadical:random_seed=21797213:i=3773:amm=off_2939 on theBenchmark for (2939ds/3773Mi)
% 48.11/7.10  % TRYING [11]
% 48.11/7.10  % (3840070)Instruction limit reached! 
% 48.11/7.10  % (3840070)------------------------------
% 48.11/7.10  % (3840070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840070)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840070)Termination reason: Instruction limit
% 48.11/7.10  % (3840070)Termination phase: Saturation
% 48.11/7.10  % (3840070)Time elapsed: 2.207 s
% 48.11/7.10  % (3840070)Peak memory usage: 24 MB
% 48.11/7.10  % (3840070)Instructions burned: 5116 (million)
% 48.11/7.10  % (3840080)ott+11_1_sil=16000:gs=on:random_seed=3023139332:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2935 on theBenchmark for (2935ds/2251Mi)
% 48.11/7.10  % (3840080) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3840014-3840080"...
% 48.11/7.10  % (3840080)...printing done.
% 48.11/7.10  % (3840080)Refutation found. Thanks to Tanya!
% 48.11/7.10  % SZS status Theorem for theBenchmark
% 48.11/7.10  % SZS output start Proof for theBenchmark
% See solution above
% 48.11/7.10  % (3840080)------------------------------
% 48.11/7.10  % (3840080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.11/7.10  % (3840080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.11/7.10  % (3840080)CaDiCaL version: 2.1.3
% 48.11/7.10  % (3840080)Termination reason: Refutation
% 48.11/7.10  % (3840080)Time elapsed: 0.411 s
% 48.11/7.10  % (3840080)Peak memory usage: 18 MB
% 48.11/7.10  % (3840080)Instructions burned: 768 (million)
% 48.11/7.10  % (3840014)Success in time 6.913 s
% 48.11/7.10  % Vampire exiting
%------------------------------------------------------------------------------