TSTP Solution File: SYN053-1 by Beagle---0.9.47

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.47
% Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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 : 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  : 600s
% DateTime : Thu Jul 21 02:34:05 EDT 2022

% Result   : Unsatisfiable 1.36s 1.00s
% Output   : CNFRefutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   18 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   6   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    5 (   0 usr;   3 ari)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ big_f > #nlpp > p > b > a

%Foreground sorts:

%Background operators:

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

tff(p,type,
    p: $o ).

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

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

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

tff(big_f,type,
    big_f: $i > $o ).

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

tff(f_35,axiom,
    ~ p,
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [X,Y] :
      ( p
      | big_f(X)
      | big_f(Y) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ( ~ big_f(a)
    | ~ big_f(b) ),
    file(unknown,unknown) ).

tff(c_6,plain,
    ~ p,
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_2,plain,
    ! [Y_2,X_1] :
      ( big_f(Y_2)
      | big_f(X_1)
      | p ),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_13,plain,
    ! [Y_2,X_1] :
      ( big_f(Y_2)
      | big_f(X_1) ),
    inference(negUnitSimplification,[status(thm)],[c_6,c_2]) ).

tff(c_14,plain,
    ! [X_1] : big_f(X_1),
    inference(splitLeft,[status(thm)],[c_13]) ).

tff(c_10,plain,
    ( ~ big_f(b)
    | ~ big_f(a) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_19,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_14,c_10]) ).

tff(c_20,plain,
    ! [Y_2] : big_f(Y_2),
    inference(splitRight,[status(thm)],[c_13]) ).

tff(c_23,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_20,c_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 02:28:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  OpenJDK 64-Bit Server VM warning: ignoring option MaxPermSize=384M; support was removed in 8.0
% 1.36/1.00  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.01  
% 1.36/1.01  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.36/1.02  
% 1.36/1.02  Inference rules
% 1.36/1.02  ----------------------
% 1.36/1.02  #Ref     : 0
% 1.36/1.02  #Sup     : 0
% 1.36/1.02  #Fact    : 0
% 1.36/1.02  #Define  : 0
% 1.36/1.02  #Split   : 1
% 1.36/1.02  #Chain   : 0
% 1.36/1.02  #Close   : 0
% 1.36/1.02  
% 1.36/1.02  Ordering : KBO
% 1.36/1.02  
% 1.36/1.02  Simplification rules
% 1.36/1.02  ----------------------
% 1.36/1.02  #Subsume      : 1
% 1.36/1.02  #Demod        : 6
% 1.36/1.02  #Tautology    : 1
% 1.36/1.02  #SimpNegUnit  : 3
% 1.36/1.02  #BackRed      : 0
% 1.36/1.02  
% 1.36/1.02  #Partial instantiations: 0
% 1.36/1.02  #Strategies tried      : 1
% 1.36/1.02  
% 1.36/1.02  Timing (in seconds)
% 1.36/1.02  ----------------------
% 1.52/1.03  Preprocessing        : 0.23
% 1.52/1.03  Parsing              : 0.13
% 1.52/1.03  CNF conversion       : 0.01
% 1.52/1.03  Main loop            : 0.06
% 1.52/1.03  Inferencing          : 0.01
% 1.52/1.03  Reduction            : 0.02
% 1.52/1.03  Demodulation         : 0.01
% 1.52/1.03  BG Simplification    : 0.01
% 1.52/1.03  Subsumption          : 0.01
% 1.52/1.03  Abstraction          : 0.00
% 1.52/1.03  MUC search           : 0.00
% 1.52/1.03  Cooper               : 0.00
% 1.52/1.03  Total                : 0.31
% 1.52/1.03  Index Insertion      : 0.00
% 1.52/1.03  Index Deletion       : 0.00
% 1.52/1.03  Index Matching       : 0.00
% 1.52/1.03  BG Taut test         : 0.00
%------------------------------------------------------------------------------