TSTP Solution File: CSR014+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 Apr 30 20:14:19 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   44 (  19 unt;   0 def)
%            Number of atoms       :   89 (  25 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   81 (  36   ~;  28   |;  11   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   47 (  42   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [Fluent,Time] :
      ( ( ~ releasedAt(Fluent,Time)
        & ~ ? [Event] :
              ( happens(Event,Time)
              & releases(Event,Fluent,Time) ) )
     => ~ releasedAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [Event,Fluent,Time] :
      ( releases(Event,Fluent,Time)
    <=> ? [Height] :
          ( Event = tapOn
          & Fluent = waterLevel(Height) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [X] : filling != waterLevel(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f31,axiom,
    plus(n1,n2) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f53,hypothesis,
    ~ releasedAt(filling,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55,conjecture,
    ~ releasedAt(filling,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f56,negated_conjecture,
    ~ ~ releasedAt(filling,n3),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f91,plain,
    ! [Fluent,Time] :
      ( releasedAt(Fluent,Time)
      | ? [Event] :
          ( happens(Event,Time)
          & releases(Event,Fluent,Time) )
      | ~ releasedAt(Fluent,plus(Time,n1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f92,plain,
    ! [Fluent,Time] :
      ( releasedAt(Fluent,Time)
      | ( happens(sk0_7(Time,Fluent),Time)
        & releases(sk0_7(Time,Fluent),Fluent,Time) )
      | ~ releasedAt(Fluent,plus(Time,n1)) ),
    inference(skolemization,[status(esa)],[f91]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( releasedAt(X0,X1)
      | releases(sk0_7(X1,X0),X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f126,plain,
    ! [Event,Fluent,Time] :
      ( ( ~ releases(Event,Fluent,Time)
        | ? [Height] :
            ( Event = tapOn
            & Fluent = waterLevel(Height) ) )
      & ( releases(Event,Fluent,Time)
        | ! [Height] :
            ( Event != tapOn
            | Fluent != waterLevel(Height) ) ) ),
    inference(NNF_transformation,[status(esa)],[f15]) ).

fof(f127,plain,
    ( ! [Event,Fluent] :
        ( ! [Time] : ~ releases(Event,Fluent,Time)
        | ( Event = tapOn
          & ? [Height] : Fluent = waterLevel(Height) ) )
    & ! [Event,Fluent] :
        ( ! [Time] : releases(Event,Fluent,Time)
        | Event != tapOn
        | ! [Height] : Fluent != waterLevel(Height) ) ),
    inference(miniscoping,[status(esa)],[f126]) ).

fof(f128,plain,
    ( ! [Event,Fluent] :
        ( ! [Time] : ~ releases(Event,Fluent,Time)
        | ( Event = tapOn
          & Fluent = waterLevel(sk0_9(Fluent,Event)) ) )
    & ! [Event,Fluent] :
        ( ! [Time] : releases(Event,Fluent,Time)
        | Event != tapOn
        | ! [Height] : Fluent != waterLevel(Height) ) ),
    inference(skolemization,[status(esa)],[f127]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ~ releases(X0,X1,X2)
      | X1 = waterLevel(sk0_9(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f150,plain,
    ! [X0] : filling != waterLevel(X0),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f158,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f161,plain,
    plus(n1,n1) = n2,
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f162,plain,
    plus(n1,n2) = n3,
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f167,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f220,plain,
    ~ releasedAt(filling,n0),
    inference(cnf_transformation,[status(esa)],[f53]) ).

fof(f222,plain,
    releasedAt(filling,n3),
    inference(cnf_transformation,[status(esa)],[f56]) ).

fof(f1003,plain,
    ! [X0,X1] : ~ releases(X0,filling,X1),
    inference(resolution,[status(thm)],[f130,f150]) ).

fof(f1077,plain,
    ! [X0] :
      ( releasedAt(filling,X0)
      | ~ releasedAt(filling,plus(X0,n1)) ),
    inference(resolution,[status(thm)],[f1003,f94]) ).

fof(f1080,plain,
    ( spl0_112
  <=> releasedAt(filling,n1) ),
    introduced(split_symbol_definition) ).

fof(f1083,plain,
    ( spl0_113
  <=> releasedAt(filling,n2) ),
    introduced(split_symbol_definition) ).

fof(f1086,plain,
    ( releasedAt(filling,n1)
    | ~ releasedAt(filling,n2) ),
    inference(paramodulation,[status(thm)],[f161,f1077]) ).

fof(f1087,plain,
    ( spl0_112
    | ~ spl0_113 ),
    inference(split_clause,[status(thm)],[f1086,f1080,f1083]) ).

fof(f1088,plain,
    ( spl0_114
  <=> releasedAt(filling,n0) ),
    introduced(split_symbol_definition) ).

fof(f1089,plain,
    ( releasedAt(filling,n0)
    | ~ spl0_114 ),
    inference(component_clause,[status(thm)],[f1088]) ).

fof(f1091,plain,
    ( releasedAt(filling,n0)
    | ~ releasedAt(filling,n1) ),
    inference(paramodulation,[status(thm)],[f158,f1077]) ).

fof(f1092,plain,
    ( spl0_114
    | ~ spl0_112 ),
    inference(split_clause,[status(thm)],[f1091,f1088,f1080]) ).

fof(f1093,plain,
    ! [X0] :
      ( releasedAt(filling,X0)
      | ~ releasedAt(filling,plus(n1,X0)) ),
    inference(paramodulation,[status(thm)],[f167,f1077]) ).

fof(f1095,plain,
    ( $false
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1089,f220]) ).

fof(f1096,plain,
    ~ spl0_114,
    inference(contradiction_clause,[status(thm)],[f1095]) ).

fof(f1118,plain,
    ( spl0_120
  <=> releasedAt(filling,n3) ),
    introduced(split_symbol_definition) ).

fof(f1120,plain,
    ( ~ releasedAt(filling,n3)
    | spl0_120 ),
    inference(component_clause,[status(thm)],[f1118]) ).

fof(f1126,plain,
    ( releasedAt(filling,n2)
    | ~ releasedAt(filling,n3) ),
    inference(paramodulation,[status(thm)],[f162,f1093]) ).

fof(f1127,plain,
    ( spl0_113
    | ~ spl0_120 ),
    inference(split_clause,[status(thm)],[f1126,f1083,f1118]) ).

fof(f1132,plain,
    ( $false
    | spl0_120 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1120,f222]) ).

fof(f1133,plain,
    spl0_120,
    inference(contradiction_clause,[status(thm)],[f1132]) ).

fof(f1134,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1087,f1092,f1096,f1127,f1133]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:39:56 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39  % Elapsed time: 0.033204 seconds
% 0.14/0.39  % CPU time: 0.107624 seconds
% 0.14/0.39  % Total memory used: 18.654 MB
% 0.14/0.39  % Net memory used: 18.550 MB
%------------------------------------------------------------------------------