TSTP Solution File: PLA006-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PLA006-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n014.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 10:53:35 EDT 2023

% Result   : Unsatisfiable 3.29s 1.83s
% Output   : CNFRefutation 3.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   36 (  13 unt;  16 typ;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  21   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :   18 (;  18   !;   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_178,axiom,
    holds(empty,s0),
    file(unknown,unknown) ).

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

tff(f_168,axiom,
    differ(c,table),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ! [X,State] :
      ( holds(holding(X),do(pickup(X),State))
      | ~ holds(empty,State)
      | ~ holds(clear(X),State)
      | ~ differ(X,table) ),
    file(unknown,unknown) ).

tff(f_181,axiom,
    ! [State] : holds(clear(table),State),
    file(unknown,unknown) ).

tff(f_108,axiom,
    ! [X,Y,State] :
      ( holds(on(X,Y),do(putdown(X,Y),State))
      | ~ holds(holding(X),State)
      | ~ holds(clear(Y),State) ),
    file(unknown,unknown) ).

tff(f_186,axiom,
    ! [State] : ~ holds(on(c,table),State),
    file(unknown,unknown) ).

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

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

tff(c_40,plain,
    differ(c,table),
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_4,plain,
    ! [X_4,State_5] :
      ( ~ differ(X_4,table)
      | ~ holds(clear(X_4),State_5)
      | ~ holds(empty,State_5)
      | holds(holding(X_4),do(pickup(X_4),State_5)) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_60,plain,
    ! [State_36] : holds(clear(table),State_36),
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_153,plain,
    ! [Y_67,State_68,X_69] :
      ( ~ holds(clear(Y_67),State_68)
      | ~ holds(holding(X_69),State_68)
      | holds(on(X_69,Y_67),do(putdown(X_69,Y_67),State_68)) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_62,plain,
    ! [State_37] : ~ holds(on(c,table),State_37),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_157,plain,
    ! [State_68] :
      ( ~ holds(clear(table),State_68)
      | ~ holds(holding(c),State_68) ),
    inference(resolution,[status(thm)],[c_153,c_62]) ).

tff(c_162,plain,
    ! [State_72] : ~ holds(holding(c),State_72),
    inference(demodulation,[status(thm),theory(equality)],[c_60,c_157]) ).

tff(c_166,plain,
    ! [State_5] :
      ( ~ differ(c,table)
      | ~ holds(clear(c),State_5)
      | ~ holds(empty,State_5) ),
    inference(resolution,[status(thm)],[c_4,c_162]) ).

tff(c_170,plain,
    ! [State_73] :
      ( ~ holds(clear(c),State_73)
      | ~ holds(empty,State_73) ),
    inference(demodulation,[status(thm),theory(equality)],[c_40,c_166]) ).

tff(c_185,plain,
    ~ holds(empty,s0),
    inference(resolution,[status(thm)],[c_56,c_170]) ).

tff(c_192,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_185]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : PLA006-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n014.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 18:16:03 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.29/1.83  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.29/1.83  
% 3.29/1.83  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.29/1.87  
% 3.29/1.87  Inference rules
% 3.29/1.87  ----------------------
% 3.29/1.87  #Ref     : 0
% 3.29/1.87  #Sup     : 28
% 3.29/1.87  #Fact    : 0
% 3.29/1.87  #Define  : 0
% 3.29/1.87  #Split   : 0
% 3.29/1.87  #Chain   : 0
% 3.29/1.87  #Close   : 0
% 3.29/1.87  
% 3.29/1.87  Ordering : KBO
% 3.29/1.87  
% 3.29/1.87  Simplification rules
% 3.29/1.87  ----------------------
% 3.29/1.87  #Subsume      : 3
% 3.29/1.87  #Demod        : 13
% 3.29/1.87  #Tautology    : 10
% 3.29/1.87  #SimpNegUnit  : 0
% 3.29/1.87  #BackRed      : 0
% 3.29/1.87  
% 3.29/1.87  #Partial instantiations: 0
% 3.29/1.87  #Strategies tried      : 1
% 3.29/1.87  
% 3.29/1.87  Timing (in seconds)
% 3.29/1.87  ----------------------
% 3.29/1.87  Preprocessing        : 0.50
% 3.29/1.87  Parsing              : 0.27
% 3.29/1.87  CNF conversion       : 0.03
% 3.29/1.87  Main loop            : 0.31
% 3.29/1.87  Inferencing          : 0.13
% 3.29/1.87  Reduction            : 0.09
% 3.29/1.87  Demodulation         : 0.07
% 3.29/1.87  BG Simplification    : 0.02
% 3.29/1.87  Subsumption          : 0.06
% 3.29/1.87  Abstraction          : 0.01
% 3.29/1.87  MUC search           : 0.00
% 3.29/1.87  Cooper               : 0.00
% 3.29/1.87  Total                : 0.86
% 3.29/1.87  Index Insertion      : 0.00
% 3.29/1.87  Index Deletion       : 0.00
% 3.29/1.87  Index Matching       : 0.00
% 3.29/1.87  BG Taut test         : 0.00
%------------------------------------------------------------------------------