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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 : Thu Sep 24 12:12:48 PM UTC 2026

% Result   : Theorem 0.12s 0.45s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   98 (  35 unt;   1 def)
%            Number of atoms       :  284 (  83 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  310 ( 124   ~; 122   |;  53   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :  148 ( 140   !;   8   ?)

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

fof(f8,axiom,
    ! [Fluent,Time] :
      ( ( ~ ? [Event] :
              ( releases(Event,Fluent,Time)
              & happens(Event,Time) )
        & ~ releasedAt(Fluent,Time) )
     => ~ releasedAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f15,axiom,
    ! [Event,Fluent,Time] :
      ( releases(Event,Fluent,Time)
    <=> ? [Height] :
          ( Fluent = waterLevel(Height)
          & Event = tapOn ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | ( Time = n0
          & Event = tapOn ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

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

fof(f53,hypothesis,
    ~ releasedAt(filling,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f84,plain,
    ! [Fluent,Time] :
      ( ~ holdsAt(Fluent,plus(Time,n1))
      | ? [Event] :
          ( initiates(Event,Fluent,Time)
          & happens(Event,Time) )
      | releasedAt(Fluent,plus(Time,n1))
      | holdsAt(Fluent,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f6]) ).

fof(f85,plain,
    ! [Fluent,Time] :
      ( ~ holdsAt(Fluent,plus(Time,n1))
      | ( initiates(sK5_skl(Time,Fluent),Fluent,Time)
        & happens(sK5_skl(Time,Fluent),Time) )
      | releasedAt(Fluent,plus(Time,n1))
      | holdsAt(Fluent,Time) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Event,sK5_skl(Time,Fluent))],[f84]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ holdsAt(X0,plus(X1,n1))
      | happens(sK5_skl(X1,X0),X1)
      | releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f92,plain,
    ! [Fluent,Time] :
      ( ~ releasedAt(Fluent,plus(Time,n1))
      | ? [Event] :
          ( releases(Event,Fluent,Time)
          & happens(Event,Time) )
      | releasedAt(Fluent,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f8]) ).

fof(f93,plain,
    ! [Fluent,Time] :
      ( ~ releasedAt(Fluent,plus(Time,n1))
      | ( releases(sK7_skl(Time,Fluent),Fluent,Time)
        & happens(sK7_skl(Time,Fluent),Time) )
      | releasedAt(Fluent,Time) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Event,sK7_skl(Time,Fluent))],[f92]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ releasedAt(X0,plus(X1,n1))
      | releases(sK7_skl(X1,X0),X0,X1)
      | releasedAt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f93]) ).

fof(f99,plain,
    ! [Event,Time,Fluent] :
      ( ~ holdsAt(Fluent,plus(Time,n1))
      | ~ terminates(Event,Fluent,Time)
      | ~ happens(Event,Time) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f100,plain,
    ! [Time,Fluent] :
      ( ~ holdsAt(Fluent,plus(Time,n1))
      | ! [Event] :
          ( ~ terminates(Event,Fluent,Time)
          | ~ happens(Event,Time) ) ),
    inference(miniscoping,[status(thm)],[f99]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f119,plain,
    ! [Event,Fluent,Time] :
      ( ( ( ( Fluent != filling
            | Event != overflow )
          & ( Fluent != filling
            | Event != tapOff ) )
        | terminates(Event,Fluent,Time) )
      & ( ( Fluent = filling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOff )
        | ~ terminates(Event,Fluent,Time) ) ),
    inference(NNF_transformation,[status(thm)],[f14]) ).

fof(f120,plain,
    ( ! [Event,Fluent] :
        ( ( ( Fluent != filling
            | Event != overflow )
          & ( Fluent != filling
            | Event != tapOff ) )
        | ! [Time] : terminates(Event,Fluent,Time) )
    & ! [Event,Fluent] :
        ( ( Fluent = filling
          & Event = overflow )
        | ( Fluent = filling
          & Event = tapOff )
        | ! [Time] : ~ terminates(Event,Fluent,Time) ) ),
    inference(miniscoping,[status(thm)],[f119]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( X1 != filling
      | X0 != overflow
      | terminates(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f120]) ).

fof(f127,plain,
    ! [Event,Fluent,Time] :
      ( ( ! [Height] :
            ( Fluent != waterLevel(Height)
            | Event != tapOn )
        | releases(Event,Fluent,Time) )
      & ( ? [Height] :
            ( Fluent = waterLevel(Height)
            & Event = tapOn )
        | ~ releases(Event,Fluent,Time) ) ),
    inference(NNF_transformation,[status(thm)],[f15]) ).

fof(f128,plain,
    ( ! [Event,Fluent] :
        ( ! [Height] : Fluent != waterLevel(Height)
        | Event != tapOn
        | ! [Time] : releases(Event,Fluent,Time) )
    & ! [Event,Fluent] :
        ( ( ? [Height] : Fluent = waterLevel(Height)
          & Event = tapOn )
        | ! [Time] : ~ releases(Event,Fluent,Time) ) ),
    inference(miniscoping,[status(thm)],[f127]) ).

fof(f129,plain,
    ( ! [Event,Fluent] :
        ( ! [Height] : Fluent != waterLevel(Height)
        | Event != tapOn
        | ! [Time] : releases(Event,Fluent,Time) )
    & ! [Event,Fluent] :
        ( ( Fluent = waterLevel(sK9_skl(Fluent,Event))
          & Event = tapOn )
        | ! [Time] : ~ releases(Event,Fluent,Time) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Height,sK9_skl(Fluent,Event))],[f128]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( X1 = waterLevel(sK9_skl(X1,X0))
      | ~ releases(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f129]) ).

fof(f133,definition,
    ! [Event,Time] :
      ( sP1_prd(Time,Event)
    <=> ( Time = n0
        & Event = tapOn ) ),
    introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).

fof(f134,plain,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | sP1_prd(Time,Event) ) ),
    inference(formula_renaming,[status(thm)],[f16,f133]) ).

fof(f135,plain,
    ! [Event,Time] :
      ( ( ( ( Event != overflow
            | ~ holdsAt(filling,Time)
            | ~ holdsAt(waterLevel(n3),Time) )
          & ~ sP1_prd(Time,Event) )
        | happens(Event,Time) )
      & ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | sP1_prd(Time,Event)
        | ~ happens(Event,Time) ) ),
    inference(NNF_transformation,[status(thm)],[f134]) ).

fof(f136,plain,
    ( ! [Event,Time] :
        ( ( ( Event != overflow
            | ~ holdsAt(filling,Time)
            | ~ holdsAt(waterLevel(n3),Time) )
          & ~ sP1_prd(Time,Event) )
        | happens(Event,Time) )
    & ! [Event,Time] :
        ( ( Event = overflow
          & holdsAt(filling,Time)
          & holdsAt(waterLevel(n3),Time) )
        | sP1_prd(Time,Event)
        | ~ happens(Event,Time) ) ),
    inference(miniscoping,[status(thm)],[f135]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( holdsAt(filling,X1)
      | sP1_prd(X1,X0)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( X0 != overflow
      | ~ holdsAt(filling,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f151,plain,
    ! [X0] : filling != waterLevel(X0),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f159,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f162,plain,
    plus(n1,n1) = n2,
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f163,plain,
    plus(n1,n2) = n3,
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f164,plain,
    plus(n1,n3) = n4,
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f168,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f169,plain,
    ! [X,Y] :
      ( ( ( X != Y
          & ~ less(X,Y) )
        | less_or_equal(X,Y) )
      & ( X = Y
        | less(X,Y)
        | ~ less_or_equal(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f37]) ).

fof(f170,plain,
    ( ! [X,Y] :
        ( ( X != Y
          & ~ less(X,Y) )
        | less_or_equal(X,Y) )
    & ! [X,Y] :
        ( X = Y
        | less(X,Y)
        | ~ less_or_equal(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f169]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f170]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( X0 != X1
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f170]) ).

fof(f174,plain,
    ! [X] : ~ less(X,n0),
    inference(pre_NNF_transformation,[status(thm)],[f38]) ).

fof(f175,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[status(thm)],[f174]) ).

fof(f180,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n1)
        | less(X,n2) )
      & ( less_or_equal(X,n1)
        | ~ less(X,n2) ) ),
    inference(NNF_transformation,[status(thm)],[f40]) ).

fof(f181,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n1)
        | less(X,n2) )
    & ! [X] :
        ( less_or_equal(X,n1)
        | ~ less(X,n2) ) ),
    inference(miniscoping,[status(thm)],[f180]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n1)
      | less(X0,n2) ),
    inference(cnf_transformation,[status(thm)],[f181]) ).

fof(f184,plain,
    ! [X] :
      ( ( ~ less_or_equal(X,n2)
        | less(X,n3) )
      & ( less_or_equal(X,n2)
        | ~ less(X,n3) ) ),
    inference(NNF_transformation,[status(thm)],[f41]) ).

fof(f185,plain,
    ( ! [X] :
        ( ~ less_or_equal(X,n2)
        | less(X,n3) )
    & ! [X] :
        ( less_or_equal(X,n2)
        | ~ less(X,n3) ) ),
    inference(miniscoping,[status(thm)],[f184]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[status(thm)],[f185]) ).

fof(f221,plain,
    ~ releasedAt(filling,n0),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f223,plain,
    holdsAt(waterLevel(n3),n3),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f224,plain,
    holdsAt(filling,n4),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f235,plain,
    ! [Event,Time] :
      ( ( Time != n0
        | Event != tapOn
        | sP1_prd(Time,Event) )
      & ( ( Time = n0
          & Event = tapOn )
        | ~ sP1_prd(Time,Event) ) ),
    inference(NNF_transformation,[status(thm)],[f133]) ).

fof(f236,plain,
    ( ! [Event,Time] :
        ( Time != n0
        | Event != tapOn
        | sP1_prd(Time,Event) )
    & ! [Event,Time] :
        ( ( Time = n0
          & Event = tapOn )
        | ~ sP1_prd(Time,Event) ) ),
    inference(miniscoping,[status(thm)],[f235]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( X0 = n0
      | ~ sP1_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f236]) ).

fof(f251,plain,
    ! [X0] : terminates(overflow,filling,X0),
    inference(destructive_equality_resolution,[status(thm)],[f126]) ).

fof(f253,plain,
    ! [X0] :
      ( ~ holdsAt(filling,X0)
      | ~ holdsAt(waterLevel(n3),X0)
      | happens(overflow,X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f141]) ).

fof(f255,plain,
    ! [X0] : less_or_equal(X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f173]) ).

fof(f399,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(n1,X1))
      | ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(paramodulation,[status(thm)],[f168,f101]) ).

fof(f437,plain,
    less(n1,n2),
    inference(resolution,[status(thm)],[f183,f255]) ).

fof(f441,plain,
    ! [X0] :
      ( ~ less(X0,n2)
      | less(X0,n3) ),
    inference(resolution,[status(thm)],[f187,f172]) ).

fof(f532,plain,
    ! [X0,X1] : ~ releases(X0,filling,X1),
    inference(resolution,[status(thm)],[f131,f151]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ releasedAt(filling,plus(X0,n1))
      | releasedAt(filling,X0) ),
    inference(resolution,[status(thm)],[f532,f95]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( X1 = n0
      | holdsAt(filling,X1)
      | ~ happens(X0,X1) ),
    inference(resolution,[status(thm)],[f138,f238]) ).

fof(f568,plain,
    ! [X0] :
      ( ~ holdsAt(filling,plus(X0,n1))
      | happens(sK5_skl(X0,filling),X0)
      | holdsAt(filling,X0)
      | releasedAt(filling,X0) ),
    inference(resolution,[status(thm)],[f535,f86]) ).

fof(f570,plain,
    ( ~ releasedAt(filling,n1)
    | releasedAt(filling,n0) ),
    inference(paramodulation,[status(thm)],[f159,f535]) ).

fof(f571,plain,
    ( ~ releasedAt(filling,n2)
    | releasedAt(filling,n1) ),
    inference(paramodulation,[status(thm)],[f162,f535]) ).

fof(f572,plain,
    ! [X0] :
      ( ~ releasedAt(filling,plus(n1,X0))
      | releasedAt(filling,X0) ),
    inference(paramodulation,[status(thm)],[f168,f535]) ).

fof(f574,plain,
    ~ releasedAt(filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[f570,f221]) ).

fof(f575,plain,
    ~ releasedAt(filling,n2),
    inference(forward_subsumption_resolution,[status(thm)],[f571,f574]) ).

fof(f582,plain,
    ( ~ releasedAt(filling,n3)
    | releasedAt(filling,n2) ),
    inference(paramodulation,[status(thm)],[f163,f572]) ).

fof(f591,plain,
    ~ releasedAt(filling,n3),
    inference(forward_subsumption_resolution,[status(thm)],[f582,f575]) ).

fof(f593,plain,
    less(n1,n3),
    inference(resolution,[status(thm)],[f441,f437]) ).

fof(f616,plain,
    ( ~ holdsAt(filling,n3)
    | happens(overflow,n3) ),
    inference(resolution,[status(thm)],[f253,f223]) ).

fof(f1069,plain,
    ! [X0] :
      ( ~ holdsAt(filling,plus(X0,n1))
      | holdsAt(filling,X0)
      | releasedAt(filling,X0)
      | X0 = n0
      | holdsAt(filling,X0) ),
    inference(resolution,[status(thm)],[f557,f568]) ).

fof(f1074,plain,
    ! [X0] :
      ( ~ holdsAt(filling,plus(X0,n1))
      | releasedAt(filling,X0)
      | X0 = n0
      | holdsAt(filling,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f1069]) ).

fof(f1110,plain,
    ! [X0] :
      ( ~ holdsAt(filling,plus(n1,X0))
      | releasedAt(filling,X0)
      | X0 = n0
      | holdsAt(filling,X0) ),
    inference(paramodulation,[status(thm)],[f168,f1074]) ).

fof(f1116,plain,
    ( ~ holdsAt(filling,n4)
    | releasedAt(filling,n3)
    | n3 = n0
    | holdsAt(filling,n3) ),
    inference(paramodulation,[status(thm)],[f164,f1110]) ).

fof(f1120,plain,
    ( ~ holdsAt(filling,n4)
    | n3 = n0
    | holdsAt(filling,n3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1116,f591]) ).

fof(f1122,plain,
    ( n3 = n0
    | holdsAt(filling,n3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1120,f224]) ).

fof(f2406,plain,
    ! [X0,X1] :
      ( ~ holdsAt(X1,n4)
      | ~ terminates(X0,X1,n3)
      | ~ happens(X0,n3) ),
    inference(paramodulation,[status(thm)],[f164,f399]) ).

fof(f2432,plain,
    ( ~ holdsAt(filling,n4)
    | ~ happens(overflow,n3) ),
    inference(resolution,[status(thm)],[f2406,f251]) ).

fof(f2435,plain,
    ~ happens(overflow,n3),
    inference(forward_subsumption_resolution,[status(thm)],[f2432,f224]) ).

fof(f2437,plain,
    ~ holdsAt(filling,n3),
    inference(backward_subsumption_resolution,[status(thm)],[f616,f2435]) ).

fof(f2449,plain,
    n3 = n0,
    inference(backward_subsumption_resolution,[status(thm)],[f1122,f2437]) ).

fof(f2524,plain,
    less(n1,n0),
    inference(backward_demodulation,[status(thm)],[f2449,f593]) ).

fof(f2650,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2524,f175]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n005.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 21 14:23:04 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.36  % Drodi V4.1.1
% 0.12/0.45  % Refutation found
% 0.12/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.47  % Elapsed time: 0.117888 seconds
% 0.12/0.47  % CPU time: 0.628891 seconds
% 0.12/0.47  % Total memory used: 117.007 MB
% 0.12/0.47  % Net memory used: 115.927 MB
%------------------------------------------------------------------------------