TSTP Solution File: CSR002+1 by Leo-III---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : CSR002+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  7 07:30:22 EDT 2024

% Result   : Theorem 14.14s 3.72s
% Output   : Refutation 14.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   84
% Syntax   : Number of formulae    :  204 (  96 unt;  29 typ;   0 def)
%            Number of atoms       :  444 ( 163 equ;   0 cnn)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives : 1207 ( 119   ~;  42   |; 135   &; 825   @)
%                                         (  18 <=>;  68  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;  16 con; 0-4 aty)
%            Number of variables   :  220 (   0   ^ 185   !;  35   ?; 220   :)

% Comments : 
%------------------------------------------------------------------------------
thf(holdsAt_type,type,
    holdsAt: $i > $i > $o ).

thf(filling_type,type,
    filling: $i ).

thf(n4_type,type,
    n4: $i ).

thf(plus_type,type,
    plus: $i > $i > $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(n1_type,type,
    n1: $i ).

thf(less_or_equal_type,type,
    less_or_equal: $i > $i > $o ).

thf(n0_type,type,
    n0: $i ).

thf(n3_type,type,
    n3: $i ).

thf(n2_type,type,
    n2: $i ).

thf(stoppedIn_type,type,
    stoppedIn: $i > $i > $i > $o ).

thf(happens_type,type,
    happens: $i > $i > $o ).

thf(terminates_type,type,
    terminates: $i > $i > $i > $o ).

thf(releasedAt_type,type,
    releasedAt: $i > $i > $o ).

thf(initiates_type,type,
    initiates: $i > $i > $i > $o ).

thf(tapOff_type,type,
    tapOff: $i ).

thf(tapOn_type,type,
    tapOn: $i ).

thf(n6_type,type,
    n6: $i ).

thf(overflow_type,type,
    overflow: $i ).

thf(n5_type,type,
    n5: $i ).

thf(releases_type,type,
    releases: $i > $i > $i > $o ).

thf(n7_type,type,
    n7: $i ).

thf(waterLevel_type,type,
    waterLevel: $i > $i ).

thf(n8_type,type,
    n8: $i ).

thf(n9_type,type,
    n9: $i ).

thf(spilling_type,type,
    spilling: $i ).

thf(startedIn_type,type,
    startedIn: $i > $i > $i > $o ).

thf(antitrajectory_type,type,
    antitrajectory: $i > $i > $i > $i > $o ).

thf(trajectory_type,type,
    trajectory: $i > $i > $i > $i > $o ).

thf(1,conjecture,
    ~ ( holdsAt @ filling @ n4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_4) ).

thf(2,negated_conjecture,
    ~ ~ ( holdsAt @ filling @ n4 ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(57,plain,
    ~ ~ ( holdsAt @ filling @ n4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(25,axiom,
    ( ( plus @ n0 @ n0 )
    = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_0) ).

thf(156,plain,
    ( ( plus @ n0 @ n0 )
    = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(27,axiom,
    ( ( plus @ n0 @ n2 )
    = n2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).

thf(160,plain,
    ( ( plus @ n0 @ n2 )
    = n2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(161,plain,
    ( ( plus @ n0 @ n2 )
    = n2 ),
    inference(lifteq,[status(thm)],[160]) ).

thf(10,axiom,
    ( ( plus @ n3 @ n3 )
    = n6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus3_3) ).

thf(95,plain,
    ( ( plus @ n3 @ n3 )
    = n6 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(11,axiom,
    tapOff != overflow,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_overflow) ).

thf(97,plain,
    tapOff != overflow,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(98,plain,
    tapOff != overflow,
    inference(polarity_switch,[status(thm)],[97]) ).

thf(99,plain,
    overflow != tapOff,
    inference(lifteq,[status(thm)],[98]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( ( waterLevel @ A )
        = ( waterLevel @ B ) )
    <=> ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_waterLevels) ).

thf(138,plain,
    ! [A: $i,B: $i] :
      ( ( ( ( waterLevel @ A )
          = ( waterLevel @ B ) )
       => ( A = B ) )
      & ( ( A = B )
       => ( ( waterLevel @ A )
          = ( waterLevel @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(12,axiom,
    ( ( plus @ n2 @ n3 )
    = n5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus2_3) ).

thf(100,plain,
    ( ( plus @ n2 @ n3 )
    = n5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(101,plain,
    ( ( plus @ n2 @ n3 )
    = n5 ),
    inference(lifteq,[status(thm)],[100]) ).

thf(51,axiom,
    ! [A: $i] :
      ( ( less @ A @ n4 )
    <=> ( less_or_equal @ A @ n3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).

thf(249,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n4 )
       => ( less_or_equal @ A @ n3 ) )
      & ( ( less_or_equal @ A @ n3 )
       => ( less @ A @ n4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(29,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( releases @ A @ B @ C )
    <=> ? [D: $i] :
          ( ( A = tapOn )
          & ( B
            = ( waterLevel @ D ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',releases_all_defn) ).

thf(170,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( releases @ A @ B @ C )
       => ? [D: $i] :
            ( ( A = tapOn )
            & ( B
              = ( waterLevel @ D ) ) ) )
      & ( ? [D: $i] :
            ( ( A = tapOn )
            & ( B
              = ( waterLevel @ D ) ) )
       => ( releases @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( less @ A @ n7 )
    <=> ( less_or_equal @ A @ n6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less7) ).

thf(120,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n7 )
       => ( less_or_equal @ A @ n6 ) )
      & ( ( less_or_equal @ A @ n6 )
       => ( less @ A @ n7 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(38,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( terminates @ A @ C @ B ) )
     => ~ ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_terminates_not_holds) ).

thf(202,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( terminates @ A @ C @ B ) )
     => ~ ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(32,axiom,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).

thf(185,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(53,axiom,
    ( ( plus @ n2 @ n2 )
    = n4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus2_2) ).

thf(256,plain,
    ( ( plus @ n2 @ n2 )
    = n4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(257,plain,
    ( ( plus @ n2 @ n2 )
    = n4 ),
    inference(lifteq,[status(thm)],[256]) ).

thf(31,axiom,
    ~ ? [A: $i] : ( less @ A @ n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).

thf(182,plain,
    ~ ? [A: $i] : ( less @ A @ n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(183,plain,
    ~ ? [A: $i] : ( less @ A @ n0 ),
    inference(polarity_switch,[status(thm)],[182]) ).

thf(184,plain,
    ! [A: $i] :
      ~ ( less @ A @ n0 ),
    inference(cnf,[status(esa)],[183]) ).

thf(18,axiom,
    ! [A: $i] :
      ~ ( releasedAt @ ( waterLevel @ A ) @ n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_waterLevel_0) ).

thf(125,plain,
    ! [A: $i] :
      ~ ( releasedAt @ ( waterLevel @ A ) @ n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(36,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( happens @ A @ B )
        & ( terminates @ A @ C @ B )
        & ( less @ n0 @ D )
        & ( antitrajectory @ C @ B @ E @ D )
        & ~ ( startedIn @ B @ C @ ( plus @ B @ D ) ) )
     => ( holdsAt @ E @ ( plus @ B @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antitrajectory) ).

thf(196,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( happens @ A @ B )
        & ( terminates @ A @ C @ B )
        & ( less @ n0 @ D )
        & ( antitrajectory @ C @ B @ E @ D )
        & ~ ( startedIn @ B @ C @ ( plus @ B @ D ) ) )
     => ( holdsAt @ E @ ( plus @ B @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(157,plain,
    ( ( plus @ n0 @ n0 )
    = n0 ),
    inference(lifteq,[status(thm)],[156]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( ( initiates @ A @ C @ B )
          | ( terminates @ A @ C @ B ) ) )
     => ~ ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_not_released) ).

thf(179,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( ( initiates @ A @ C @ B )
          | ( terminates @ A @ C @ B ) ) )
     => ~ ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(41,axiom,
    ! [A: $i] :
      ( filling
     != ( waterLevel @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_not_waterLevel) ).

thf(208,plain,
    ! [A: $i] :
      ( filling
     != ( waterLevel @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(209,plain,
    ~ ? [A: $i] :
        ( filling
        = ( waterLevel @ A ) ),
    inference(miniscope,[status(thm)],[208]) ).

thf(210,plain,
    ! [A: $i] :
      ( filling
     != ( waterLevel @ A ) ),
    inference(cnf,[status(esa)],[209]) ).

thf(211,plain,
    ! [A: $i] :
      ( ( waterLevel @ A )
     != filling ),
    inference(lifteq,[status(thm)],[210]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( plus @ A @ B )
      = ( plus @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).

thf(59,plain,
    ! [A: $i,B: $i] :
      ( ( plus @ A @ B )
      = ( plus @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(60,plain,
    ! [B: $i,A: $i] :
      ( ( plus @ A @ B )
      = ( plus @ B @ A ) ),
    inference(cnf,[status(esa)],[59]) ).

thf(61,plain,
    ! [B: $i,A: $i] :
      ( ( plus @ A @ B )
      = ( plus @ B @ A ) ),
    inference(lifteq,[status(thm)],[60]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( less @ A @ n9 )
    <=> ( less_or_equal @ A @ n8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less9) ).

thf(133,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n9 )
       => ( less_or_equal @ A @ n8 ) )
      & ( ( less_or_equal @ A @ n8 )
       => ( less @ A @ n9 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(49,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( holdsAt @ A @ B )
        & ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( initiates @ C @ A @ B ) ) )
     => ~ ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_holding) ).

thf(243,plain,
    ! [A: $i,B: $i] :
      ( ( ~ ( holdsAt @ A @ B )
        & ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( initiates @ C @ A @ B ) ) )
     => ~ ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(58,plain,
    holdsAt @ filling @ n4,
    inference(polarity_switch,[status(thm)],[57]) ).

thf(39,axiom,
    ~ ( holdsAt @ filling @ n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).

thf(204,plain,
    ~ ( holdsAt @ filling @ n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(205,plain,
    ~ ( holdsAt @ filling @ n0 ),
    inference(polarity_switch,[status(thm)],[204]) ).

thf(310,plain,
    ( ( holdsAt @ filling @ n0 )
   != ( holdsAt @ filling @ n4 ) ),
    inference(paramod_ordered,[status(thm)],[58,205]) ).

thf(311,plain,
    ( ( filling != filling )
    | ( n0 != n4 ) ),
    inference(simp,[status(thm)],[310]) ).

thf(312,plain,
    n0 != n4,
    inference(simp,[status(thm)],[311]) ).

thf(40,axiom,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).

thf(206,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(44,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( initiates @ A @ C @ B ) )
     => ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).

thf(220,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( initiates @ A @ C @ B ) )
     => ( holdsAt @ C @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ( less @ A @ n2 )
    <=> ( less_or_equal @ A @ n1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).

thf(102,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n2 )
       => ( less_or_equal @ A @ n1 ) )
      & ( ( less_or_equal @ A @ n1 )
       => ( less @ A @ n2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( less @ A @ n3 )
    <=> ( less_or_equal @ A @ n2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).

thf(67,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n3 )
       => ( less_or_equal @ A @ n2 ) )
      & ( ( less_or_equal @ A @ n2 )
       => ( less @ A @ n3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(68,plain,
    ( ! [A: $i] :
        ( ( less @ A @ n3 )
       => ( less_or_equal @ A @ n2 ) )
    & ! [A: $i] :
        ( ( less_or_equal @ A @ n2 )
       => ( less @ A @ n3 ) ) ),
    inference(miniscope,[status(thm)],[67]) ).

thf(70,plain,
    ! [A: $i] :
      ( ~ ( less @ A @ n3 )
      | ( less_or_equal @ A @ n2 ) ),
    inference(cnf,[status(esa)],[68]) ).

thf(55,axiom,
    filling != spilling,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_not_spilling) ).

thf(275,plain,
    filling != spilling,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(9,axiom,
    tapOff != tapOn,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_tapOn) ).

thf(92,plain,
    tapOff != tapOn,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( less @ A @ n1 )
    <=> ( less_or_equal @ A @ n0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).

thf(62,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n1 )
       => ( less_or_equal @ A @ n0 ) )
      & ( ( less_or_equal @ A @ n0 )
       => ( less @ A @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(63,plain,
    ( ! [A: $i] :
        ( ( less @ A @ n1 )
       => ( less_or_equal @ A @ n0 ) )
    & ! [A: $i] :
        ( ( less_or_equal @ A @ n0 )
       => ( less @ A @ n1 ) ) ),
    inference(miniscope,[status(thm)],[62]) ).

thf(65,plain,
    ! [A: $i] :
      ( ~ ( less @ A @ n1 )
      | ( less_or_equal @ A @ n0 ) ),
    inference(cnf,[status(esa)],[63]) ).

thf(323,plain,
    ! [B: $i,A: $i] :
      ( ( ( plus @ B @ A )
        = n5 )
      | ( ( plus @ n2 @ n3 )
       != ( plus @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[101,61]) ).

thf(324,plain,
    ( ( plus @ n3 @ n2 )
    = n5 ),
    inference(pattern_uni,[status(thm)],[323:[bind(A,$thf( n2 )),bind(B,$thf( n3 ))]]) ).

thf(46,axiom,
    holdsAt @ ( waterLevel @ n0 ) @ n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).

thf(224,plain,
    holdsAt @ ( waterLevel @ n0 ) @ n0,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(47,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( happens @ A @ B )
        & ( initiates @ A @ C @ B )
        & ( less @ n0 @ E )
        & ( trajectory @ C @ B @ D @ E )
        & ~ ( stoppedIn @ B @ C @ ( plus @ B @ E ) ) )
     => ( holdsAt @ D @ ( plus @ B @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_holding) ).

thf(225,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( happens @ A @ B )
        & ( initiates @ A @ C @ B )
        & ( less @ n0 @ E )
        & ( trajectory @ C @ B @ D @ E )
        & ~ ( stoppedIn @ B @ C @ ( plus @ B @ E ) ) )
     => ( holdsAt @ D @ ( plus @ B @ E ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(34,axiom,
    overflow != tapOn,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_not_tapOn) ).

thf(191,plain,
    overflow != tapOn,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(192,plain,
    overflow != tapOn,
    inference(polarity_switch,[status(thm)],[191]) ).

thf(193,plain,
    overflow != tapOn,
    inference(lifteq,[status(thm)],[192]) ).

thf(42,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( holdsAt @ ( waterLevel @ B ) @ A )
        & ( holdsAt @ ( waterLevel @ C ) @ A ) )
     => ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_waterLevel) ).

thf(212,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( holdsAt @ ( waterLevel @ B ) @ A )
        & ( holdsAt @ ( waterLevel @ C ) @ A ) )
     => ( B = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(96,plain,
    ( ( plus @ n3 @ n3 )
    = n6 ),
    inference(lifteq,[status(thm)],[95]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ( ( less_or_equal @ A @ B )
    <=> ( ( less @ A @ B )
        | ( A = B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).

thf(109,plain,
    ! [A: $i,B: $i] :
      ( ( ( less_or_equal @ A @ B )
       => ( ( less @ A @ B )
          | ( A = B ) ) )
      & ( ( ( less @ A @ B )
          | ( A = B ) )
       => ( less_or_equal @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( less @ A @ n8 )
    <=> ( less_or_equal @ A @ n7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less8) ).

thf(128,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n8 )
       => ( less_or_equal @ A @ n7 ) )
      & ( ( less_or_equal @ A @ n7 )
       => ( less @ A @ n8 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(16,axiom,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).

thf(118,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(331,plain,
    ( ( n5 = n6 )
    | ( ( plus @ n2 @ n3 )
     != ( plus @ n3 @ n3 ) ) ),
    inference(paramod_ordered,[status(thm)],[101,96]) ).

thf(333,plain,
    ( ( n5 = n6 )
    | ( n2 != n3 )
    | ( n3 != n3 ) ),
    inference(simp,[status(thm)],[331]) ).

thf(335,plain,
    ( ( n5 = n6 )
    | ( n2 != n3 ) ),
    inference(simp,[status(thm)],[333]) ).

thf(26,axiom,
    ~ ( releasedAt @ spilling @ n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_spilling_0) ).

thf(158,plain,
    ~ ( releasedAt @ spilling @ n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(159,plain,
    ~ ( releasedAt @ spilling @ n0 ),
    inference(polarity_switch,[status(thm)],[158]) ).

thf(33,axiom,
    ! [A: $i] :
      ( spilling
     != ( waterLevel @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',spilling_not_waterLevel) ).

thf(187,plain,
    ! [A: $i] :
      ( spilling
     != ( waterLevel @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( less @ A @ B )
    <=> ( ~ ( less @ B @ A )
        & ( B != A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).

thf(83,plain,
    ! [A: $i,B: $i] :
      ( ( ( less @ A @ B )
       => ( ~ ( less @ B @ A )
          & ( B != A ) ) )
      & ( ( ~ ( less @ B @ A )
          & ( B != A ) )
       => ( less @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(84,plain,
    ( ! [A: $i,B: $i] :
        ( ( less @ A @ B )
       => ( ~ ( less @ B @ A )
          & ( B != A ) ) )
    & ! [A: $i,B: $i] :
        ( ( ~ ( less @ B @ A )
          & ( B != A ) )
       => ( less @ A @ B ) ) ),
    inference(miniscope,[status(thm)],[83]) ).

thf(87,plain,
    ! [B: $i,A: $i] :
      ( ~ ( less @ A @ B )
      | ( B != A ) ),
    inference(cnf,[status(esa)],[84]) ).

thf(90,plain,
    ! [B: $i,A: $i] :
      ( ( B != A )
      | ~ ( less @ A @ B ) ),
    inference(lifteq,[status(thm)],[87]) ).

thf(91,plain,
    ! [A: $i] :
      ~ ( less @ A @ A ),
    inference(simp,[status(thm)],[90]) ).

thf(64,plain,
    ! [A: $i] :
      ( ~ ( less_or_equal @ A @ n0 )
      | ( less @ A @ n1 ) ),
    inference(cnf,[status(esa)],[63]) ).

thf(66,plain,
    ! [A: $i] :
      ( ~ ( less_or_equal @ A @ n0 )
      | ( less @ A @ n1 ) ),
    inference(simp,[status(thm)],[64]) ).

thf(24,axiom,
    ( ( plus @ n0 @ n3 )
    = n3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).

thf(154,plain,
    ( ( plus @ n0 @ n3 )
    = n3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(155,plain,
    ( ( plus @ n0 @ n3 )
    = n3 ),
    inference(lifteq,[status(thm)],[154]) ).

thf(37,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( holdsAt @ ( waterLevel @ A ) @ B )
        & ( C
          = ( plus @ A @ D ) ) )
     => ( trajectory @ filling @ B @ ( waterLevel @ C ) @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_of_waterLevel) ).

thf(198,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( holdsAt @ ( waterLevel @ A ) @ B )
        & ( C
          = ( plus @ A @ D ) ) )
     => ( trajectory @ filling @ B @ ( waterLevel @ C ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(56,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( initiates @ A @ B @ C )
    <=> ( ( ( A = tapOn )
          & ( B = filling ) )
        | ( ( A = overflow )
          & ( B = spilling ) )
        | ? [D: $i] :
            ( ( holdsAt @ ( waterLevel @ D ) @ C )
            & ( A = tapOff )
            & ( B
              = ( waterLevel @ D ) ) )
        | ? [D: $i] :
            ( ( holdsAt @ ( waterLevel @ D ) @ C )
            & ( A = overflow )
            & ( B
              = ( waterLevel @ D ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).

thf(278,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( initiates @ A @ B @ C )
       => ( ( ( A = tapOn )
            & ( B = filling ) )
          | ( ( A = overflow )
            & ( B = spilling ) )
          | ? [D: $i] :
              ( ( holdsAt @ ( waterLevel @ D ) @ C )
              & ( A = tapOff )
              & ( B
                = ( waterLevel @ D ) ) )
          | ? [D: $i] :
              ( ( holdsAt @ ( waterLevel @ D ) @ C )
              & ( A = overflow )
              & ( B
                = ( waterLevel @ D ) ) ) ) )
      & ( ( ( ( A = tapOn )
            & ( B = filling ) )
          | ( ( A = overflow )
            & ( B = spilling ) )
          | ? [D: $i] :
              ( ( holdsAt @ ( waterLevel @ D ) @ C )
              & ( A = tapOff )
              & ( B
                = ( waterLevel @ D ) ) )
          | ? [D: $i] :
              ( ( holdsAt @ ( waterLevel @ D ) @ C )
              & ( A = overflow )
              & ( B
                = ( waterLevel @ D ) ) ) )
       => ( initiates @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(45,axiom,
    ~ ( releasedAt @ filling @ n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_filling_0) ).

thf(222,plain,
    ~ ( releasedAt @ filling @ n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(223,plain,
    ~ ( releasedAt @ filling @ n0 ),
    inference(polarity_switch,[status(thm)],[222]) ).

thf(559,plain,
    ( ( holdsAt @ ( waterLevel @ n0 ) @ n0 )
   != ( holdsAt @ filling @ n0 ) ),
    inference(paramod_ordered,[status(thm)],[224,205]) ).

thf(561,plain,
    ( ( ( waterLevel @ n0 )
     != filling )
    | ( n0 != n0 ) ),
    inference(simp,[status(thm)],[559]) ).

thf(563,plain,
    ( ( waterLevel @ n0 )
   != filling ),
    inference(simp,[status(thm)],[561]) ).

thf(48,axiom,
    ! [A: $i,B: $i] :
      ( ( happens @ A @ B )
    <=> ( ( ( A = tapOn )
          & ( B = n0 ) )
        | ( ( holdsAt @ ( waterLevel @ n3 ) @ B )
          & ( holdsAt @ filling @ B )
          & ( A = overflow ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).

thf(227,plain,
    ! [A: $i,B: $i] :
      ( ( ( happens @ A @ B )
       => ( ( ( A = tapOn )
            & ( B = n0 ) )
          | ( ( holdsAt @ ( waterLevel @ n3 ) @ B )
            & ( holdsAt @ filling @ B )
            & ( A = overflow ) ) ) )
      & ( ( ( ( A = tapOn )
            & ( B = n0 ) )
          | ( ( holdsAt @ ( waterLevel @ n3 ) @ B )
            & ( holdsAt @ filling @ B )
            & ( A = overflow ) ) )
       => ( happens @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(228,plain,
    ( ! [A: $i,B: $i] :
        ( ( happens @ A @ B )
       => ( ( ( A = tapOn )
            & ( B = n0 ) )
          | ( ( holdsAt @ ( waterLevel @ n3 ) @ B )
            & ( holdsAt @ filling @ B )
            & ( A = overflow ) ) ) )
    & ! [A: $i,B: $i] :
        ( ( ( ( A = tapOn )
            & ( B = n0 ) )
          | ( ( holdsAt @ ( waterLevel @ n3 ) @ B )
            & ( holdsAt @ filling @ B )
            & ( A = overflow ) ) )
       => ( happens @ A @ B ) ) ),
    inference(miniscope,[status(thm)],[227]) ).

thf(230,plain,
    ! [B: $i,A: $i] :
      ( ( A != tapOn )
      | ( B != n0 )
      | ( happens @ A @ B ) ),
    inference(cnf,[status(esa)],[228]) ).

thf(240,plain,
    ! [B: $i,A: $i] :
      ( ( A != tapOn )
      | ( B != n0 )
      | ( happens @ A @ B ) ),
    inference(lifteq,[status(thm)],[230]) ).

thf(241,plain,
    happens @ tapOn @ n0,
    inference(simp,[status(thm)],[240]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( ( releasedAt @ A @ B )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( ( initiates @ C @ A @ B )
                | ( terminates @ C @ A @ B ) ) ) )
     => ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_released) ).

thf(80,plain,
    ! [A: $i,B: $i] :
      ( ( ( releasedAt @ A @ B )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( ( initiates @ C @ A @ B )
                | ( terminates @ C @ A @ B ) ) ) )
     => ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(28,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( startedIn @ A @ C @ B )
    <=> ? [D: $i,E: $i] :
          ( ( happens @ D @ E )
          & ( less @ A @ E )
          & ( less @ E @ B )
          & ( initiates @ D @ C @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',startedin_defn) ).

thf(162,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( startedIn @ A @ C @ B )
       => ? [D: $i,E: $i] :
            ( ( happens @ D @ E )
            & ( less @ A @ E )
            & ( less @ E @ B )
            & ( initiates @ D @ C @ E ) ) )
      & ( ? [D: $i,E: $i] :
            ( ( happens @ D @ E )
            & ( less @ A @ E )
            & ( less @ E @ B )
            & ( initiates @ D @ C @ E ) )
       => ( startedIn @ A @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(52,axiom,
    ~ ( holdsAt @ spilling @ n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_spilling_0) ).

thf(254,plain,
    ~ ( holdsAt @ spilling @ n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(255,plain,
    ~ ( holdsAt @ spilling @ n0 ),
    inference(polarity_switch,[status(thm)],[254]) ).

thf(35,axiom,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).

thf(194,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(126,plain,
    ~ ? [A: $i] : ( releasedAt @ ( waterLevel @ A ) @ n0 ),
    inference(miniscope,[status(thm)],[125]) ).

thf(127,plain,
    ! [A: $i] :
      ~ ( releasedAt @ ( waterLevel @ A ) @ n0 ),
    inference(cnf,[status(esa)],[126]) ).

thf(6,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( stoppedIn @ A @ B @ C )
    <=> ? [D: $i,E: $i] :
          ( ( happens @ D @ E )
          & ( less @ A @ E )
          & ( less @ E @ C )
          & ( terminates @ D @ B @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',stoppedin_defn) ).

thf(72,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( stoppedIn @ A @ B @ C )
       => ? [D: $i,E: $i] :
            ( ( happens @ D @ E )
            & ( less @ A @ E )
            & ( less @ E @ C )
            & ( terminates @ D @ B @ E ) ) )
      & ( ? [D: $i,E: $i] :
            ( ( happens @ D @ E )
            & ( less @ A @ E )
            & ( less @ E @ C )
            & ( terminates @ D @ B @ E ) )
       => ( stoppedIn @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(54,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( terminates @ A @ B @ C )
    <=> ( ( ( A = tapOff )
          & ( B = filling ) )
        | ( ( A = overflow )
          & ( B = filling ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminates_all_defn) ).

thf(258,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( terminates @ A @ B @ C )
       => ( ( ( A = tapOff )
            & ( B = filling ) )
          | ( ( A = overflow )
            & ( B = filling ) ) ) )
      & ( ( ( ( A = tapOff )
            & ( B = filling ) )
          | ( ( A = overflow )
            & ( B = filling ) ) )
       => ( terminates @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(186,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(lifteq,[status(thm)],[185]) ).

thf(50,axiom,
    ! [A: $i,B: $i] :
      ( ( ( holdsAt @ A @ B )
        & ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( terminates @ C @ A @ B ) ) )
     => ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_holding) ).

thf(246,plain,
    ! [A: $i,B: $i] :
      ( ( ( holdsAt @ A @ B )
        & ~ ( releasedAt @ A @ ( plus @ B @ n1 ) )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( terminates @ C @ A @ B ) ) )
     => ( holdsAt @ A @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(207,plain,
    ( ( plus @ n1 @ n3 )
    = n4 ),
    inference(lifteq,[status(thm)],[206]) ).

thf(119,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(lifteq,[status(thm)],[118]) ).

thf(23,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( releasedAt @ A @ B )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( releases @ C @ A @ B ) ) )
     => ~ ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_released) ).

thf(151,plain,
    ! [A: $i,B: $i] :
      ( ( ~ ( releasedAt @ A @ B )
        & ~ ? [C: $i] :
              ( ( happens @ C @ B )
              & ( releases @ C @ A @ B ) ) )
     => ~ ( releasedAt @ A @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( less @ A @ n6 )
    <=> ( less_or_equal @ A @ n5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less6) ).

thf(146,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n6 )
       => ( less_or_equal @ A @ n5 ) )
      & ( ( less_or_equal @ A @ n5 )
       => ( less @ A @ n6 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(188,plain,
    ~ ? [A: $i] :
        ( spilling
        = ( waterLevel @ A ) ),
    inference(miniscope,[status(thm)],[187]) ).

thf(189,plain,
    ! [A: $i] :
      ( spilling
     != ( waterLevel @ A ) ),
    inference(cnf,[status(esa)],[188]) ).

thf(190,plain,
    ! [A: $i] :
      ( ( waterLevel @ A )
     != spilling ),
    inference(lifteq,[status(thm)],[189]) ).

thf(560,plain,
    ( ( holdsAt @ ( waterLevel @ n0 ) @ n0 )
   != ( holdsAt @ spilling @ n0 ) ),
    inference(paramod_ordered,[status(thm)],[224,255]) ).

thf(562,plain,
    ( ( ( waterLevel @ n0 )
     != spilling )
    | ( n0 != n0 ) ),
    inference(simp,[status(thm)],[560]) ).

thf(564,plain,
    ( ( waterLevel @ n0 )
   != spilling ),
    inference(simp,[status(thm)],[562]) ).

thf(14,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( releases @ A @ C @ B ) )
     => ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_releases) ).

thf(107,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( happens @ A @ B )
        & ( releases @ A @ C @ B ) )
     => ( releasedAt @ C @ ( plus @ B @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(195,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(lifteq,[status(thm)],[194]) ).

thf(93,plain,
    tapOff != tapOn,
    inference(polarity_switch,[status(thm)],[92]) ).

thf(94,plain,
    tapOn != tapOff,
    inference(lifteq,[status(thm)],[93]) ).

thf(276,plain,
    filling != spilling,
    inference(polarity_switch,[status(thm)],[275]) ).

thf(277,plain,
    spilling != filling,
    inference(lifteq,[status(thm)],[276]) ).

thf(43,axiom,
    ! [A: $i] :
      ( ( less @ A @ n5 )
    <=> ( less_or_equal @ A @ n4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less5) ).

thf(215,plain,
    ! [A: $i] :
      ( ( ( less @ A @ n5 )
       => ( less_or_equal @ A @ n4 ) )
      & ( ( less_or_equal @ A @ n4 )
       => ( less @ A @ n5 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(2073,plain,
    $false,
    inference(cvc4,[status(thm)],[57,156,161,95,99,138,101,249,170,120,202,185,257,184,125,196,157,179,211,61,133,243,312,206,220,102,160,70,275,92,65,97,324,224,225,193,212,96,109,256,128,205,191,204,59,118,335,159,187,208,91,66,155,198,278,223,563,241,80,162,255,194,67,182,127,154,72,258,158,186,246,207,119,58,151,146,190,564,107,195,94,62,277,83,215,222,100,254,227]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR002+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.11/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n019.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Mon May  6 15:43:54 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.86/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.14/0.99  % [INFO] 	 Parsing done (147ms). 
% 1.14/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.76/1.23  % [INFO] 	 eprover registered as external prover. 
% 1.76/1.23  % [INFO] 	 cvc4 registered as external prover. 
% 1.81/1.24  % [INFO] 	 Scanning for conjecture ... 
% 1.81/1.31  % [INFO] 	 Found a conjecture and 54 axioms. Running axiom selection ... 
% 2.01/1.36  % [INFO] 	 Axiom selection finished. Selected 54 axioms (removed 0 axioms). 
% 2.21/1.43  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.21/1.44  % [INFO] 	 Type checking passed. 
% 2.21/1.44  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 14.14/3.71  % External prover 'cvc4' found a proof!
% 14.14/3.71  % [INFO] 	 Killing All external provers ... 
% 14.14/3.72  % Time passed: 3179ms (effective reasoning time: 2711ms)
% 14.14/3.72  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 14.14/3.72  % Axioms used in derivation (54): keep_not_holding, same_waterLevel, plus1_1, stoppedin_defn, happens_all_defn, plus3_3, happens_holds, plus2_2, less9, keep_holding, not_filling_0, releases_all_defn, spilling_not_waterLevel, less8, less_property, antitrajectory, tapOff_not_overflow, less0, plus0_0, happens_terminates_not_holds, waterLevel_0, distinct_waterLevels, less4, less1, keep_released, plus2_3, less3, filling_not_waterLevel, plus0_1, not_spilling_0, plus0_3, not_released_filling_0, plus1_2, overflow_not_tapOn, filling_not_spilling, tapOff_not_tapOn, symmetry_of_plus, less7, initiates_all_defn, keep_not_released, not_released_waterLevel_0, terminates_all_defn, less2, change_of_waterLevel, plus0_2, plus1_3, change_holding, less6, happens_releases, less5, startedin_defn, happens_not_released, less_or_equal, not_released_spilling_0
% 14.14/3.72  % No. of inferences in proof: 175
% 14.14/3.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3179 ms resp. 2711 ms w/o parsing
% 14.18/3.80  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.18/3.80  % [INFO] 	 Killing All external provers ... 
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