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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 09:41:55 AM UTC 2026

% Result   : Theorem 1.66s 0.81s
% Output   : Refutation 2.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  204 (  48 unt;  12 def)
%            Number of atoms       :  594 ( 149 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  653 ( 263   ~; 274   |;  88   &)
%                                         (  24 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  11 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :  199 (   0 sgn 184   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0,X1] :
      ( ( ~ holdsAt(X0,X1)
        & ~ releasedAt(X0,plus(X1,n1))
        & ~ ? [X2] :
              ( happens(X2,X1)
              & initiates(X2,X0,X1) ) )
     => ~ holdsAt(X0,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_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/sandbox/benchmark/theBenchmark.p',keep_not_released) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( happens(X0,X1)
        & terminates(X0,X2,X1) )
     => ~ holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_terminates_not_holds) ).

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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> ( ( X0 = tapOff
          & X1 = filling )
        | ( X0 = overflow
          & X1 = filling ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminates_all_defn) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( releases(X0,X1,X2)
    <=> ? [X3] :
          ( X0 = tapOn
          & X1 = waterLevel(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f21,axiom,
    overflow != tapOn,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_not_tapOn) ).

fof(f22,axiom,
    ! [X0] : filling != waterLevel(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_not_waterLevel) ).

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

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

fof(f31,axiom,
    plus(n1,n2) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).

fof(f32,axiom,
    plus(n1,n3) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).

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

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

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

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

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

fof(f42,axiom,
    ! [X0] :
      ( less(X0,n4)
    <=> less_or_equal(X0,n3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).

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

fof(f55,axiom,
    holdsAt(waterLevel(n3),n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).

fof(f56,conjecture,
    ~ holdsAt(filling,n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_4) ).

fof(f57,negated_conjecture,
    ~ ~ holdsAt(filling,n4),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f58,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(f59,plain,
    holdsAt(filling,n4),
    inference(flattening,[],[f57]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ holdsAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ? [X2] :
          ( happens(X2,X1)
          & initiates(X2,X0,X1) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ holdsAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ? [X2] :
          ( happens(X2,X1)
          & initiates(X2,X0,X1) ) ),
    inference(flattening,[],[f69]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | ? [X2] :
          ( happens(X2,X1)
          & releases(X2,X0,X1) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | ? [X2] :
          ( happens(X2,X1)
          & releases(X2,X0,X1) ) ),
    inference(flattening,[],[f73]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ terminates(X0,X2,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ terminates(X0,X2,X1) ),
    inference(flattening,[],[f77]) ).

fof(f81,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(f82,plain,
    ! [X0,X1,X2] :
      ( ~ releasedAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ( ~ initiates(X0,X2,X1)
        & ~ terminates(X0,X2,X1) ) ),
    inference(flattening,[],[f81]) ).

fof(f88,definition,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ? [X4] :
          ( holdsAt(waterLevel(X4),X2)
          & X0 = overflow
          & waterLevel(X4) = X1 ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f89,definition,
    ! [X2,X0,X1] :
      ( sP1(X2,X0,X1)
    <=> ? [X3] :
          ( holdsAt(waterLevel(X3),X2)
          & X0 = tapOff
          & X1 = waterLevel(X3) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ( X0 = tapOn
          & X1 = filling )
        | ( X0 = overflow
          & X1 = spilling )
        | sP1(X2,X0,X1)
        | sP0(X2,X0,X1) ) ),
    inference(definition_folding,[],[f58,f89,f88]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ holdsAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ( happens(sK5(X0,X1),X1)
        & initiates(sK5(X0,X1),X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f70]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | ( happens(sK7(X0,X1),X1)
        & releases(sK7(X0,X1),X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f74]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ( ( tapOn != X0
            | filling != X1 )
          & ( overflow != X0
            | spilling != X1 )
          & ~ sP1(X2,X0,X1)
          & ~ sP0(X2,X0,X1) ) )
      & ( ( X0 = tapOn
          & X1 = filling )
        | ( X0 = overflow
          & X1 = spilling )
        | sP1(X2,X0,X1)
        | sP0(X2,X0,X1)
        | ~ initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ( ( tapOn != X0
            | filling != X1 )
          & ( overflow != X0
            | spilling != X1 )
          & ~ sP1(X2,X0,X1)
          & ~ sP0(X2,X0,X1) ) )
      & ( ( X0 = tapOn
          & X1 = filling )
        | ( X0 = overflow
          & X1 = spilling )
        | sP1(X2,X0,X1)
        | sP0(X2,X0,X1)
        | ~ initiates(X0,X1,X2) ) ),
    inference(flattening,[],[f102]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X1,X2)
        | ( ( tapOff != X0
            | filling != X1 )
          & ( overflow != X0
            | filling != X1 ) ) )
      & ( ( X0 = tapOff
          & X1 = filling )
        | ( X0 = overflow
          & X1 = filling )
        | ~ terminates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X1,X2)
        | ( ( tapOff != X0
            | filling != X1 )
          & ( overflow != X0
            | filling != X1 ) ) )
      & ( ( X0 = tapOff
          & X1 = filling )
        | ( X0 = overflow
          & X1 = filling )
        | ~ terminates(X0,X1,X2) ) ),
    inference(flattening,[],[f104]) ).

fof(f106,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(f107,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,[],[f106]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( ( releases(X0,X1,X2)
        | ! [X3] :
            ( tapOn != X0
            | waterLevel(X3) != X1 ) )
      & ( ( X0 = tapOn
          & waterLevel(sK10(X0,X1)) = X1 )
        | ~ releases(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X4,sK10(X0,X1))],[f107]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ( ( tapOn != X0
            | n0 != X1 )
          & ( ~ holdsAt(waterLevel(n3),X1)
            | ~ holdsAt(filling,X1)
            | overflow != X0 ) ) )
      & ( ( X0 = tapOn
          & X1 = n0 )
        | ( holdsAt(waterLevel(n3),X1)
          & holdsAt(filling,X1)
          & X0 = overflow )
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ( ( tapOn != X0
            | n0 != X1 )
          & ( ~ holdsAt(waterLevel(n3),X1)
            | ~ holdsAt(filling,X1)
            | overflow != X0 ) ) )
      & ( ( X0 = tapOn
          & X1 = n0 )
        | ( holdsAt(waterLevel(n3),X1)
          & holdsAt(filling,X1)
          & X0 = overflow )
        | ~ happens(X0,X1) ) ),
    inference(flattening,[],[f109]) ).

fof(f112,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(f113,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,[],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( ( less(X0,n1)
        | ~ less_or_equal(X0,n0) )
      & ( less_or_equal(X0,n0)
        | ~ less(X0,n1) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f115,plain,
    ! [X0] :
      ( ( less(X0,n2)
        | ~ less_or_equal(X0,n1) )
      & ( less_or_equal(X0,n1)
        | ~ less(X0,n2) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f116,plain,
    ! [X0] :
      ( ( less(X0,n3)
        | ~ less_or_equal(X0,n2) )
      & ( less_or_equal(X0,n2)
        | ~ less(X0,n3) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f117,plain,
    ! [X0] :
      ( ( less(X0,n4)
        | ~ less_or_equal(X0,n3) )
      & ( less_or_equal(X0,n3)
        | ~ less(X0,n4) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f123]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | ~ holdsAt(X0,plus(X1,n1))
      | happens(sK5(X0,X1),X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( releases(sK7(X0,X1),X0,X1)
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1))
      | happens(sK7(X0,X1),X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ happens(X0,X1)
      | ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ happens(X0,X1)
      | ~ releasedAt(X2,plus(X1,n1))
      | ~ initiates(X0,X2,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( initiates(X0,X1,X2)
      | tapOn != X0
      | filling != X1 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( terminates(X0,X1,X2)
      | overflow != X0
      | filling != X1 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ releases(X0,X1,X2)
      | waterLevel(sK10(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ releases(X0,X1,X2)
      | tapOn = X0 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ happens(X0,X1)
      | overflow = X0
      | n0 = X1 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( holdsAt(filling,X1)
      | n0 = X1
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | ~ holdsAt(filling,X1)
      | overflow != X0 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | tapOn != X0
      | n0 != X1 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f180,plain,
    tapOn != overflow,
    inference(cnf_transformation,[],[f21]) ).

fof(f181,plain,
    ! [X0] : filling != waterLevel(X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f187,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f27]) ).

fof(f190,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f30]) ).

fof(f191,plain,
    n3 = plus(n1,n2),
    inference(cnf_transformation,[],[f31]) ).

fof(f192,plain,
    plus(n1,n3) = n4,
    inference(cnf_transformation,[],[f32]) ).

fof(f196,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f202,plain,
    ! [X0] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f204,plain,
    ! [X0] :
      ( less(X0,n2)
      | ~ less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f208,plain,
    ! [X0] :
      ( less(X0,n4)
      | ~ less_or_equal(X0,n3) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f228,plain,
    holdsAt(waterLevel(n3),n3),
    inference(cnf_transformation,[],[f55]) ).

fof(f229,plain,
    holdsAt(filling,n4),
    inference(cnf_transformation,[],[f59]) ).

fof(f234,plain,
    ! [X2,X1] :
      ( initiates(tapOn,X1,X2)
      | filling != X1 ),
    inference(equality_resolution,[],[f158]) ).

fof(f235,plain,
    ! [X2] : initiates(tapOn,filling,X2),
    inference(equality_resolution,[],[f234]) ).

fof(f240,plain,
    ! [X2,X1] :
      ( terminates(overflow,X1,X2)
      | filling != X1 ),
    inference(equality_resolution,[],[f163]) ).

fof(f241,plain,
    ! [X2] : terminates(overflow,filling,X2),
    inference(equality_resolution,[],[f240]) ).

fof(f244,plain,
    ! [X1] :
      ( happens(tapOn,X1)
      | n0 != X1 ),
    inference(equality_resolution,[],[f175]) ).

fof(f245,plain,
    happens(tapOn,n0),
    inference(equality_resolution,[],[f244]) ).

fof(f246,plain,
    ! [X1] :
      ( ~ holdsAt(waterLevel(n3),X1)
      | happens(overflow,X1)
      | ~ holdsAt(filling,X1) ),
    inference(equality_resolution,[],[f174]) ).

fof(f249,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f198]) ).

fof(f250,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f219]) ).

fof(f270,plain,
    ( happens(overflow,n3)
    | ~ holdsAt(filling,n3) ),
    inference(resolution,[],[f246,f228]) ).

fof(f276,definition,
    ( spl11_1
  <=> holdsAt(filling,n3) ),
    introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).

fof(f278,plain,
    ( ~ holdsAt(filling,n3)
    | spl11_1 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f280,definition,
    ( spl11_2
  <=> happens(overflow,n3) ),
    introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).

fof(f282,plain,
    ( happens(overflow,n3)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f283,plain,
    ( ~ spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f270,f280,f276]) ).

fof(f285,plain,
    ( ! [X0] :
        ( n0 = n3
        | ~ happens(X0,n3) )
    | spl11_1 ),
    inference(resolution,[],[f278,f169]) ).

fof(f287,definition,
    ( spl11_3
  <=> ! [X0] : ~ happens(X0,n3) ),
    introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).

fof(f288,plain,
    ( ! [X0] : ~ happens(X0,n3)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f290,definition,
    ( spl11_4
  <=> n0 = n3 ),
    introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).

fof(f292,plain,
    ( n0 = n3
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f293,plain,
    ( spl11_3
    | spl11_4
    | spl11_1 ),
    inference(avatar_split_clause,[],[f285,f276,f290,f287]) ).

fof(f314,plain,
    ~ less_or_equal(n2,n1),
    inference(resolution,[],[f204,f250]) ).

fof(f317,plain,
    ~ less(n2,n1),
    inference(resolution,[],[f314,f199]) ).

fof(f319,plain,
    ~ less_or_equal(n2,n0),
    inference(resolution,[],[f317,f202]) ).

fof(f327,plain,
    less(n2,n3),
    inference(resolution,[],[f206,f249]) ).

fof(f346,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n3)
      | ~ less(n4,X0) ),
    inference(resolution,[],[f220,f208]) ).

fof(f367,plain,
    n1 = plus(n1,n0),
    inference(superposition,[],[f196,f187]) ).

fof(f372,plain,
    ! [X0,X1] :
      ( releasedAt(X1,plus(n1,X0))
      | holdsAt(X1,X0)
      | ~ holdsAt(X1,plus(n1,X0))
      | happens(sK5(X1,X0),X0) ),
    inference(superposition,[],[f133,f196]) ).

fof(f575,plain,
    ! [X0] :
      ( ~ releasedAt(X0,plus(n0,n1))
      | ~ initiates(tapOn,X0,n0) ),
    inference(resolution,[],[f142,f245]) ).

fof(f576,plain,
    ! [X0] :
      ( ~ releasedAt(X0,n1)
      | ~ initiates(tapOn,X0,n0) ),
    inference(forward_demodulation,[],[f575,f187]) ).

fof(f619,definition,
    ( spl11_32
  <=> releasedAt(filling,n1) ),
    introduced(definition,[new_symbols(definition,[spl11_32])],[avatar_definition]) ).

fof(f620,plain,
    ( releasedAt(filling,n1)
    | ~ spl11_32 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f621,plain,
    ( ~ releasedAt(filling,n1)
    | spl11_32 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f642,definition,
    ( spl11_36
  <=> releasedAt(filling,n2) ),
    introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition]) ).

fof(f643,plain,
    ( releasedAt(filling,n2)
    | ~ spl11_36 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f644,plain,
    ( ~ releasedAt(filling,n2)
    | spl11_36 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f663,definition,
    ( spl11_39
  <=> happens(sK7(filling,n2),n2) ),
    introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition]) ).

fof(f665,plain,
    ( happens(sK7(filling,n2),n2)
    | ~ spl11_39 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f667,definition,
    ( spl11_40
  <=> releasedAt(filling,n3) ),
    introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition]) ).

fof(f668,plain,
    ( releasedAt(filling,n3)
    | ~ spl11_40 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( ~ releasedAt(filling,n3)
    | spl11_40 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f671,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1)
      | waterLevel(sK10(sK7(X0,X1),X0)) = X0 ),
    inference(resolution,[],[f136,f165]) ).

fof(f672,plain,
    ! [X0,X1] :
      ( tapOn = sK7(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1))
      | releasedAt(X0,X1) ),
    inference(resolution,[],[f136,f166]) ).

fof(f678,plain,
    ( ~ releasedAt(filling,plus(n3,n1))
    | happens(sK7(filling,n3),n3)
    | spl11_40 ),
    inference(resolution,[],[f669,f137]) ).

fof(f679,plain,
    ( ~ releasedAt(filling,plus(n3,n1))
    | ~ spl11_3
    | spl11_40 ),
    inference(forward_subsumption_resolution,[],[f678,f288]) ).

fof(f680,plain,
    ( ~ releasedAt(filling,plus(n1,n3))
    | ~ spl11_3
    | spl11_40 ),
    inference(forward_demodulation,[],[f679,f196]) ).

fof(f681,plain,
    ( ~ releasedAt(filling,n4)
    | ~ spl11_3
    | spl11_40 ),
    inference(forward_demodulation,[],[f680,f192]) ).

fof(f847,plain,
    ! [X0] :
      ( ~ less(X0,n3)
      | ~ less(n4,X0) ),
    inference(resolution,[],[f346,f199]) ).

fof(f939,definition,
    ( spl11_56
  <=> n0 = n2 ),
    introduced(definition,[new_symbols(definition,[spl11_56])],[avatar_definition]) ).

fof(f940,plain,
    ( n0 != n2
    | spl11_56 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f941,plain,
    ( n0 = n2
    | ~ spl11_56 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f1246,plain,
    ( ~ initiates(tapOn,filling,n0)
    | ~ spl11_32 ),
    inference(resolution,[],[f620,f576]) ).

fof(f1249,plain,
    ( $false
    | ~ spl11_32 ),
    inference(forward_subsumption_resolution,[],[f1246,f235]) ).

fof(f1250,plain,
    ~ spl11_32,
    inference(avatar_contradiction_clause,[],[f1249]) ).

fof(f1377,plain,
    ! [X0] :
      ( ~ releasedAt(X0,n2)
      | releasedAt(X0,n1)
      | waterLevel(sK10(sK7(X0,n1),X0)) = X0 ),
    inference(superposition,[],[f671,f190]) ).

fof(f1396,plain,
    ! [X0] :
      ( releasedAt(X0,n4)
      | holdsAt(X0,n3)
      | ~ holdsAt(X0,n4)
      | happens(sK5(X0,n3),n3) ),
    inference(superposition,[],[f372,f192]) ).

fof(f1400,plain,
    ( ! [X0] :
        ( releasedAt(X0,n4)
        | holdsAt(X0,n3)
        | ~ holdsAt(X0,n4) )
    | ~ spl11_3 ),
    inference(forward_subsumption_resolution,[],[f1396,f288]) ).

fof(f1759,plain,
    ~ less(n4,n2),
    inference(resolution,[],[f847,f327]) ).

fof(f1761,plain,
    ~ less_or_equal(n4,n1),
    inference(resolution,[],[f1759,f204]) ).

fof(f1846,definition,
    ( spl11_98
  <=> n1 = n4 ),
    introduced(definition,[new_symbols(definition,[spl11_98])],[avatar_definition]) ).

fof(f1848,plain,
    ( n1 = n4
    | ~ spl11_98 ),
    inference(avatar_component_clause,[],[f1846]) ).

fof(f1870,plain,
    ( holdsAt(filling,n3)
    | ~ holdsAt(filling,n4)
    | ~ spl11_3
    | spl11_40 ),
    inference(resolution,[],[f1400,f681]) ).

fof(f1873,plain,
    ( ~ holdsAt(filling,n4)
    | spl11_1
    | ~ spl11_3
    | spl11_40 ),
    inference(forward_subsumption_resolution,[],[f1870,f278]) ).

fof(f1883,plain,
    ( $false
    | spl11_1
    | ~ spl11_3
    | spl11_40 ),
    inference(forward_subsumption_resolution,[],[f1873,f229]) ).

fof(f1884,plain,
    ( spl11_1
    | ~ spl11_3
    | spl11_40 ),
    inference(avatar_contradiction_clause,[],[f1883]) ).

fof(f1959,plain,
    ( n4 = plus(n1,n0)
    | ~ spl11_4 ),
    inference(superposition,[],[f192,f292]) ).

fof(f2021,plain,
    ( n1 = n4
    | ~ spl11_4 ),
    inference(forward_demodulation,[],[f1959,f367]) ).

fof(f2024,plain,
    ( spl11_98
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f2021,f290,f1846]) ).

fof(f3107,plain,
    ( ~ less_or_equal(n1,n1)
    | ~ spl11_98 ),
    inference(superposition,[],[f1761,f1848]) ).

fof(f3121,plain,
    ( $false
    | ~ spl11_98 ),
    inference(forward_subsumption_resolution,[],[f3107,f249]) ).

fof(f3122,plain,
    ~ spl11_98,
    inference(avatar_contradiction_clause,[],[f3121]) ).

fof(f3555,plain,
    ( happens(tapOn,n2)
    | ~ releasedAt(filling,plus(n2,n1))
    | releasedAt(filling,n2)
    | ~ spl11_39 ),
    inference(superposition,[],[f665,f672]) ).

fof(f3556,plain,
    ( happens(tapOn,n2)
    | ~ releasedAt(filling,plus(n2,n1))
    | spl11_36
    | ~ spl11_39 ),
    inference(forward_subsumption_resolution,[],[f3555,f644]) ).

fof(f3588,plain,
    ( ~ releasedAt(filling,plus(n1,n2))
    | happens(tapOn,n2)
    | spl11_36
    | ~ spl11_39 ),
    inference(forward_demodulation,[],[f3556,f196]) ).

fof(f3594,plain,
    ( ~ releasedAt(filling,n3)
    | happens(tapOn,n2)
    | spl11_36
    | ~ spl11_39 ),
    inference(forward_demodulation,[],[f3588,f191]) ).

fof(f3595,plain,
    ( happens(tapOn,n2)
    | spl11_36
    | ~ spl11_39
    | ~ spl11_40 ),
    inference(forward_subsumption_resolution,[],[f3594,f668]) ).

fof(f3597,plain,
    ( releasedAt(filling,n1)
    | filling = waterLevel(sK10(sK7(filling,n1),filling))
    | ~ spl11_36 ),
    inference(resolution,[],[f643,f1377]) ).

fof(f3600,plain,
    ( filling = waterLevel(sK10(sK7(filling,n1),filling))
    | spl11_32
    | ~ spl11_36 ),
    inference(forward_subsumption_resolution,[],[f3597,f621]) ).

fof(f3602,plain,
    ( $false
    | spl11_32
    | ~ spl11_36 ),
    inference(forward_subsumption_resolution,[],[f3600,f181]) ).

fof(f3603,plain,
    ( spl11_32
    | ~ spl11_36 ),
    inference(avatar_contradiction_clause,[],[f3602]) ).

fof(f3609,plain,
    ( ~ releasedAt(filling,plus(n2,n1))
    | happens(sK7(filling,n2),n2)
    | spl11_36 ),
    inference(resolution,[],[f644,f137]) ).

fof(f3610,plain,
    ( ~ releasedAt(filling,plus(n1,n2))
    | happens(sK7(filling,n2),n2)
    | spl11_36 ),
    inference(forward_demodulation,[],[f3609,f196]) ).

fof(f3611,plain,
    ( ~ releasedAt(filling,n3)
    | happens(sK7(filling,n2),n2)
    | spl11_36 ),
    inference(forward_demodulation,[],[f3610,f191]) ).

fof(f3612,plain,
    ( happens(sK7(filling,n2),n2)
    | spl11_36
    | ~ spl11_40 ),
    inference(forward_subsumption_resolution,[],[f3611,f668]) ).

fof(f3613,plain,
    ( spl11_39
    | spl11_36
    | ~ spl11_40 ),
    inference(avatar_split_clause,[],[f3612,f667,f642,f663]) ).

fof(f3625,plain,
    ( ~ less_or_equal(n0,n0)
    | ~ spl11_56 ),
    inference(superposition,[],[f319,f941]) ).

fof(f3670,plain,
    ( $false
    | ~ spl11_56 ),
    inference(forward_subsumption_resolution,[],[f3625,f249]) ).

fof(f3671,plain,
    ~ spl11_56,
    inference(avatar_contradiction_clause,[],[f3670]) ).

fof(f3878,plain,
    ( tapOn = overflow
    | n0 = n2
    | spl11_36
    | ~ spl11_39
    | ~ spl11_40 ),
    inference(resolution,[],[f3595,f168]) ).

fof(f3888,plain,
    ( n0 = n2
    | spl11_36
    | ~ spl11_39
    | ~ spl11_40 ),
    inference(forward_subsumption_resolution,[],[f3878,f180]) ).

fof(f3896,plain,
    ( $false
    | spl11_36
    | ~ spl11_39
    | ~ spl11_40
    | spl11_56 ),
    inference(forward_subsumption_resolution,[],[f3888,f940]) ).

fof(f3897,plain,
    ( spl11_36
    | ~ spl11_39
    | ~ spl11_40
    | spl11_56 ),
    inference(avatar_contradiction_clause,[],[f3896]) ).

fof(f3937,plain,
    ( ! [X0] :
        ( ~ holdsAt(X0,plus(n3,n1))
        | ~ terminates(overflow,X0,n3) )
    | ~ spl11_2 ),
    inference(resolution,[],[f282,f139]) ).

fof(f3952,plain,
    ( ! [X0] :
        ( ~ holdsAt(X0,plus(n1,n3))
        | ~ terminates(overflow,X0,n3) )
    | ~ spl11_2 ),
    inference(forward_demodulation,[],[f3937,f196]) ).

fof(f3957,plain,
    ( ! [X0] :
        ( ~ terminates(overflow,X0,n3)
        | ~ holdsAt(X0,n4) )
    | ~ spl11_2 ),
    inference(forward_demodulation,[],[f3952,f192]) ).

fof(f3981,plain,
    ( ~ holdsAt(filling,n4)
    | ~ spl11_2 ),
    inference(resolution,[],[f3957,f241]) ).

fof(f3982,plain,
    ( $false
    | ~ spl11_2 ),
    inference(forward_subsumption_resolution,[],[f3981,f229]) ).

fof(f3983,plain,
    ~ spl11_2,
    inference(avatar_contradiction_clause,[],[f3982]) ).

cnf(s1,plain,
    ( ~ spl11_1
    | spl11_2 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s2,plain,
    ( spl11_1
    | spl11_3
    | spl11_4 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s82,plain,
    ~ spl11_32,
    inference(sat_conversion,[],[f1250]) ).

cnf(s153,plain,
    ( spl11_1
    | ~ spl11_3
    | spl11_40 ),
    inference(sat_conversion,[],[f1884]) ).

cnf(s170,plain,
    ( ~ spl11_4
    | spl11_98 ),
    inference(sat_conversion,[],[f2024]) ).

cnf(s317,plain,
    ~ spl11_98,
    inference(sat_conversion,[],[f3122]) ).

cnf(s369,plain,
    ( spl11_32
    | ~ spl11_36 ),
    inference(sat_conversion,[],[f3603]) ).

cnf(s370,plain,
    ( spl11_36
    | spl11_39
    | ~ spl11_40 ),
    inference(sat_conversion,[],[f3613]) ).

cnf(s375,plain,
    ~ spl11_56,
    inference(sat_conversion,[],[f3671]) ).

cnf(s410,plain,
    ( spl11_36
    | ~ spl11_39
    | ~ spl11_40
    | spl11_56 ),
    inference(sat_conversion,[],[f3897]) ).

cnf(s422,plain,
    ~ spl11_2,
    inference(sat_conversion,[],[f3983]) ).

cnf(s439,plain,
    ~ spl11_4,
    inference(rat,[],[s170,s317]) ).

cnf(s476,plain,
    ~ spl11_36,
    inference(rat,[],[s369,s82]) ).

cnf(s503,plain,
    ( spl11_1
    | spl11_3 ),
    inference(rat,[],[s2,s439]) ).

cnf(s504,plain,
    ~ spl11_1,
    inference(rat,[],[s1,s422]) ).

cnf(s505,plain,
    spl11_3,
    inference(rat,[],[s503,s504]) ).

cnf(s507,plain,
    spl11_40,
    inference(rat,[],[s153,s504,s505]) ).

cnf(s509,plain,
    ~ spl11_39,
    inference(rat,[],[s410,s375,s476,s507]) ).

cnf(s510,plain,
    $false,
    inference(rat,[],[s370,s476,s507,s509]) ).

fof(f3984,plain,
    $false,
    inference(avatar_sat_refutation,[],[s510]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n014.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 22:05:00 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 1.66/0.81  % (2234196)Detected formulas, will run a generic FOF schedule.
% 1.66/0.81  % (2234218)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2560369071:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.66/0.81  % (2234212)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=250891864:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.66/0.81  % (2234217)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2525703172:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.66/0.81  % (2234216)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=166523492:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.66/0.81  % (2234213)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3502687338:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.66/0.81  % (2234219)dis-21_1_sil=8000:lcm=predicate:random_seed=1916489388:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.66/0.81  % (2234214)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3600490335:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.66/0.81  % (2234216)Refutation not found, incomplete strategy
% 1.66/0.81  % (2234216)------------------------------
% 1.66/0.81  % (2234216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.66/0.81  % (2234216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.81  % (2234216)CaDiCaL version: 2.1.3
% 1.66/0.81  % (2234216)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.81  % (2234216)Time elapsed: 0.002 s
% 1.66/0.81  % (2234216)Peak memory usage: 88 MB
% 1.66/0.81  % (2234216)Instructions burned: 1 (million)
% 1.66/0.81  % (2234217)Refutation not found, incomplete strategy
% 1.66/0.81  % (2234217)------------------------------
% 1.66/0.81  % (2234217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.66/0.81  % (2234217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.81  % (2234217)CaDiCaL version: 2.1.3
% 1.66/0.81  % (2234217)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.81  % (2234217)Time elapsed: 0.007 s
% 1.66/0.81  % (2234217)Peak memory usage: 88 MB
% 1.66/0.81  % (2234217)Instructions burned: 11 (million)
% 1.66/0.81  % (2234218)First to succeed.
% 1.66/0.81  % (2234218)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2234196"
% 1.66/0.81  % (2234219)Instruction limit reached! 
% 1.66/0.81  % (2234219)------------------------------
% 1.66/0.81  % (2234219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.66/0.81  % (2234219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.81  % (2234219)CaDiCaL version: 2.1.3
% 1.66/0.81  % (2234219)Termination reason: Instruction limit
% 1.66/0.81  % (2234219)Termination phase: Saturation
% 1.66/0.81  % (2234219)Time elapsed: 0.088 s
% 1.66/0.81  % (2234219)Peak memory usage: 89 MB
% 1.66/0.81  % (2234219)Instructions burned: 129 (million)
% 1.66/0.81  % (2234218)Refutation found. Thanks to Tanya!
% 1.66/0.81  % SZS status Theorem for theBenchmark
% 1.66/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 2.84/1.01  % (2234218)------------------------------
% 2.84/1.01  % (2234218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.01  % (2234218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.01  % (2234218)CaDiCaL version: 2.1.3
% 2.84/1.01  % (2234218)Termination reason: Refutation
% 2.84/1.01  % (2234218)Time elapsed: 0.040 s
% 2.84/1.01  % (2234218)Peak memory usage: 91 MB
% 2.84/1.01  % (2234218)Instructions burned: 99 (million)
% 2.84/1.01  % (2234218)------------------------------
% 2.84/1.01  % (2234218)------------------------------
% 2.84/1.01  % (2234196)Success in time 0.35 s
% 2.84/1.01  % Vampire exiting
%------------------------------------------------------------------------------