TSTP Solution File: COL055-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : COL055-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n001.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 10:34:55 EDT 2023

% Result   : Unsatisfiable 2.08s 1.48s
% Output   : CNFRefutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (;   3   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ response > #nlpp > b > a

%Foreground sorts:

%Background operators:

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

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

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

tff(f_26,axiom,
    response(a,b) = b,
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [Z,W] :
      ( ( response(a,Z) != W )
      | ( response(a,W) != Z ) ),
    file(unknown,unknown) ).

tff(c_2,plain,
    response(a,b) = b,
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_9,plain,
    ! [W_3] : ( response(a,response(a,W_3)) != W_3 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_12,plain,
    response(a,b) != b,
    inference(superposition,[status(thm),theory(equality)],[c_2,c_9]) ).

tff(c_15,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : COL055-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % 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 : n001.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 18:42:10 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 2.08/1.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.08/1.49  
% 2.08/1.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.08/1.52  
% 2.08/1.52  Inference rules
% 2.08/1.52  ----------------------
% 2.08/1.52  #Ref     : 0
% 2.08/1.52  #Sup     : 3
% 2.08/1.52  #Fact    : 0
% 2.08/1.52  #Define  : 0
% 2.08/1.52  #Split   : 0
% 2.08/1.52  #Chain   : 0
% 2.08/1.52  #Close   : 0
% 2.08/1.52  
% 2.08/1.52  Ordering : KBO
% 2.08/1.52  
% 2.08/1.52  Simplification rules
% 2.08/1.52  ----------------------
% 2.08/1.52  #Subsume      : 0
% 2.08/1.52  #Demod        : 1
% 2.08/1.52  #Tautology    : 2
% 2.08/1.52  #SimpNegUnit  : 0
% 2.08/1.52  #BackRed      : 0
% 2.08/1.52  
% 2.08/1.52  #Partial instantiations: 0
% 2.08/1.52  #Strategies tried      : 1
% 2.08/1.52  
% 2.08/1.52  Timing (in seconds)
% 2.08/1.52  ----------------------
% 2.08/1.53  Preprocessing        : 0.38
% 2.08/1.53  Parsing              : 0.19
% 2.08/1.53  CNF conversion       : 0.02
% 2.08/1.53  Main loop            : 0.09
% 2.08/1.53  Inferencing          : 0.03
% 2.08/1.53  Reduction            : 0.02
% 2.08/1.53  Demodulation         : 0.02
% 2.08/1.53  BG Simplification    : 0.01
% 2.08/1.53  Subsumption          : 0.02
% 2.08/1.53  Abstraction          : 0.00
% 2.08/1.53  MUC search           : 0.00
% 2.08/1.53  Cooper               : 0.00
% 2.08/1.53  Total                : 0.52
% 2.08/1.53  Index Insertion      : 0.00
% 2.08/1.53  Index Deletion       : 0.00
% 2.08/1.53  Index Matching       : 0.00
% 2.08/1.53  BG Taut test         : 0.00
%------------------------------------------------------------------------------