TSTP Solution File: SYN721+1 by Beagle---0.9.47

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.47
% Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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  : 600s
% DateTime : Thu Jul 21 02:40:09 EDT 2022

% Result   : Theorem 1.43s 1.04s
% Output   : CNFRefutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   5 unt;   7 typ;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   15 (   6   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    5 (   0 usr;   3 ari)
%            Number of type conns  :   10 (   5   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (  11   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ r > q > #nlpp > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#nlpp',type,
    '#nlpp': ( $real * $real ) > $real ).

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

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

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

tff('#nlpp_001',type,
    '#nlpp': ( $rat * $rat ) > $rat ).

tff('#nlpp_002',type,
    '#nlpp': ( $int * $int ) > $int ).

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

tff(f_43,negated_conjecture,
    ~ ( ( r(a,b)
        & ! [X] :
            ( ? [Y] : r(X,Y)
           => q(X,X) )
        & ! [U,V] :
            ( q(U,V)
           => ! [Z] : r(Z,V) ) )
     => ? [W] :
          ( r(b,W)
          & q(W,a) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1) ).

tff(c_8,plain,
    r(a,b),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_11,plain,
    ! [X_13,Y_14] :
      ( q(X_13,X_13)
      | ~ r(X_13,Y_14) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_14,plain,
    q(a,a),
    inference(resolution,[status(thm)],[c_8,c_11]) ).

tff(c_4,plain,
    ! [Z_7,V_5,U_4] :
      ( r(Z_7,V_5)
      | ~ q(U_4,V_5) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_18,plain,
    ! [Z_15] : r(Z_15,a),
    inference(resolution,[status(thm)],[c_14,c_4]) ).

tff(c_2,plain,
    ! [W_8] :
      ( ~ q(W_8,a)
      | ~ r(b,W_8) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_24,plain,
    ~ q(a,a),
    inference(resolution,[status(thm)],[c_18,c_2]) ).

tff(c_29,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 20:53:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  OpenJDK 64-Bit Server VM warning: ignoring option MaxPermSize=384M; support was removed in 8.0
% 1.43/1.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.43/1.04  
% 1.43/1.04  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.54/1.05  
% 1.54/1.05  Inference rules
% 1.54/1.05  ----------------------
% 1.54/1.05  #Ref     : 0
% 1.54/1.05  #Sup     : 4
% 1.54/1.05  #Fact    : 0
% 1.54/1.05  #Define  : 0
% 1.54/1.05  #Split   : 0
% 1.54/1.05  #Chain   : 0
% 1.54/1.05  #Close   : 0
% 1.54/1.05  
% 1.54/1.05  Ordering : KBO
% 1.54/1.05  
% 1.54/1.05  Simplification rules
% 1.54/1.05  ----------------------
% 1.54/1.05  #Subsume      : 0
% 1.54/1.05  #Demod        : 1
% 1.54/1.05  #Tautology    : 0
% 1.54/1.05  #SimpNegUnit  : 0
% 1.54/1.05  #BackRed      : 0
% 1.54/1.05  
% 1.54/1.05  #Partial instantiations: 0
% 1.54/1.05  #Strategies tried      : 1
% 1.54/1.05  
% 1.54/1.05  Timing (in seconds)
% 1.54/1.05  ----------------------
% 1.54/1.05  Preprocessing        : 0.23
% 1.54/1.05  Parsing              : 0.13
% 1.54/1.05  CNF conversion       : 0.01
% 1.54/1.05  Main loop            : 0.07
% 1.54/1.05  Inferencing          : 0.04
% 1.54/1.05  Reduction            : 0.02
% 1.54/1.05  Demodulation         : 0.01
% 1.54/1.05  BG Simplification    : 0.01
% 1.54/1.05  Subsumption          : 0.01
% 1.54/1.05  Abstraction          : 0.00
% 1.54/1.05  MUC search           : 0.00
% 1.54/1.05  Cooper               : 0.00
% 1.54/1.05  Total                : 0.33
% 1.54/1.05  Index Insertion      : 0.00
% 1.54/1.05  Index Deletion       : 0.00
% 1.54/1.05  Index Matching       : 0.00
% 1.54/1.05  BG Taut test         : 0.00
%------------------------------------------------------------------------------