TSTP Solution File: PLA020-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PLA020-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n007.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 Aug 22 10:53:38 EDT 2023

% Result   : Unsatisfiable 3.55s 1.88s
% Output   : CNFRefutation 3.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   29 (   9 unt;  16 typ;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   9   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (;  10   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ holds > differ > putdown > on > do > and > #nlpp > pickup > holding > clear > table > s0 > empty > d > c > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(s0,type,
    s0: $i ).

tff(a,type,
    a: $i ).

tff(putdown,type,
    putdown: ( $i * $i ) > $i ).

tff(pickup,type,
    pickup: $i > $i ).

tff(b,type,
    b: $i ).

tff(on,type,
    on: ( $i * $i ) > $i ).

tff(holding,type,
    holding: $i > $i ).

tff(holds,type,
    holds: ( $i * $i ) > $o ).

tff(clear,type,
    clear: $i > $i ).

tff(d,type,
    d: $i ).

tff(table,type,
    table: $i ).

tff(and,type,
    and: ( $i * $i ) > $i ).

tff(differ,type,
    differ: ( $i * $i ) > $o ).

tff(empty,type,
    empty: $i ).

tff(do,type,
    do: ( $i * $i ) > $i ).

tff(c,type,
    c: $i ).

tff(f_177,axiom,
    holds(clear(c),s0),
    file(unknown,unknown) ).

tff(f_178,axiom,
    holds(empty,s0),
    file(unknown,unknown) ).

tff(f_173,axiom,
    holds(on(c,d),s0),
    file(unknown,unknown) ).

tff(f_76,axiom,
    ! [Y,X,State] :
      ( holds(clear(Y),do(pickup(X),State))
      | ~ holds(on(X,Y),State)
      | ~ holds(clear(X),State)
      | ~ holds(empty,State) ),
    file(unknown,unknown) ).

tff(f_186,axiom,
    ! [State] : ~ holds(clear(d),State),
    file(unknown,unknown) ).

tff(c_56,plain,
    holds(clear(c),s0),
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_58,plain,
    holds(empty,s0),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_48,plain,
    holds(on(c,d),s0),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_190,plain,
    ! [State_75,X_76,Y_77] :
      ( ~ holds(empty,State_75)
      | ~ holds(clear(X_76),State_75)
      | ~ holds(on(X_76,Y_77),State_75)
      | holds(clear(Y_77),do(pickup(X_76),State_75)) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_62,plain,
    ! [State_37] : ~ holds(clear(d),State_37),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_196,plain,
    ! [State_78,X_79] :
      ( ~ holds(empty,State_78)
      | ~ holds(clear(X_79),State_78)
      | ~ holds(on(X_79,d),State_78) ),
    inference(resolution,[status(thm)],[c_190,c_62]) ).

tff(c_211,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(c),s0) ),
    inference(resolution,[status(thm)],[c_48,c_196]) ).

tff(c_218,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_58,c_211]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : PLA020-1 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.21/0.37  % WCLimit  : 300
% 0.21/0.37  % DateTime : Thu Aug  3 18:08:39 EDT 2023
% 0.21/0.37  % CPUTime  : 
% 3.55/1.88  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.55/1.88  
% 3.55/1.88  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.64/1.91  
% 3.64/1.91  Inference rules
% 3.64/1.91  ----------------------
% 3.64/1.91  #Ref     : 0
% 3.64/1.91  #Sup     : 36
% 3.64/1.91  #Fact    : 0
% 3.64/1.91  #Define  : 0
% 3.64/1.91  #Split   : 0
% 3.64/1.91  #Chain   : 0
% 3.64/1.91  #Close   : 0
% 3.64/1.91  
% 3.64/1.91  Ordering : KBO
% 3.64/1.91  
% 3.64/1.91  Simplification rules
% 3.64/1.91  ----------------------
% 3.64/1.91  #Subsume      : 11
% 3.64/1.91  #Demod        : 13
% 3.64/1.91  #Tautology    : 10
% 3.64/1.91  #SimpNegUnit  : 0
% 3.64/1.91  #BackRed      : 0
% 3.64/1.91  
% 3.64/1.91  #Partial instantiations: 0
% 3.64/1.91  #Strategies tried      : 1
% 3.64/1.91  
% 3.64/1.91  Timing (in seconds)
% 3.64/1.91  ----------------------
% 3.64/1.91  Preprocessing        : 0.50
% 3.64/1.91  Parsing              : 0.28
% 3.64/1.91  CNF conversion       : 0.03
% 3.64/1.91  Main loop            : 0.33
% 3.64/1.91  Inferencing          : 0.14
% 3.64/1.91  Reduction            : 0.09
% 3.64/1.91  Demodulation         : 0.07
% 3.64/1.91  BG Simplification    : 0.02
% 3.64/1.91  Subsumption          : 0.06
% 3.64/1.91  Abstraction          : 0.01
% 3.64/1.91  MUC search           : 0.00
% 3.64/1.91  Cooper               : 0.00
% 3.64/1.91  Total                : 0.88
% 3.64/1.91  Index Insertion      : 0.00
% 3.64/1.91  Index Deletion       : 0.00
% 3.64/1.91  Index Matching       : 0.00
% 3.64/1.91  BG Taut test         : 0.00
%------------------------------------------------------------------------------