TSTP Solution File: GRP136-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP136-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 10:40:16 EDT 2023

% Result   : Unsatisfiable 2.32s 1.55s
% Output   : CNFRefutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > least_upper_bound > greatest_lower_bound > #nlpp > inverse > identity > b > a

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f_118,axiom,
    a != b,
    file(unknown,unknown) ).

tff(f_116,axiom,
    least_upper_bound(a,b) = a,
    file(unknown,unknown) ).

tff(f_115,axiom,
    least_upper_bound(a,b) = b,
    file(unknown,unknown) ).

tff(c_36,plain,
    b != a,
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_34,plain,
    least_upper_bound(a,b) = a,
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_32,plain,
    least_upper_bound(a,b) = b,
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_37,plain,
    b = a,
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).

tff(c_38,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_36,c_37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : GRP136-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.15  % 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
% 0.16/0.35  % Computer : n007.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Thu Aug  3 22:13:24 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 2.32/1.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.32/1.55  
% 2.32/1.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.67/1.57  
% 2.67/1.57  Inference rules
% 2.67/1.57  ----------------------
% 2.67/1.57  #Ref     : 0
% 2.67/1.57  #Sup     : 0
% 2.67/1.57  #Fact    : 0
% 2.67/1.57  #Define  : 0
% 2.67/1.57  #Split   : 0
% 2.67/1.57  #Chain   : 0
% 2.67/1.57  #Close   : 0
% 2.67/1.57  
% 2.67/1.57  Ordering : KBO
% 2.67/1.57  
% 2.67/1.57  Simplification rules
% 2.67/1.57  ----------------------
% 2.67/1.57  #Subsume      : 17
% 2.67/1.57  #Demod        : 1
% 2.67/1.57  #Tautology    : 0
% 2.67/1.57  #SimpNegUnit  : 1
% 2.67/1.57  #BackRed      : 0
% 2.67/1.57  
% 2.67/1.57  #Partial instantiations: 0
% 2.67/1.57  #Strategies tried      : 1
% 2.67/1.57  
% 2.67/1.57  Timing (in seconds)
% 2.67/1.57  ----------------------
% 2.67/1.57  Preprocessing        : 0.47
% 2.67/1.57  Parsing              : 0.24
% 2.67/1.57  CNF conversion       : 0.03
% 2.67/1.57  Main loop            : 0.05
% 2.67/1.57  Inferencing          : 0.00
% 2.67/1.57  Reduction            : 0.02
% 2.67/1.57  Demodulation         : 0.02
% 2.67/1.57  BG Simplification    : 0.01
% 2.67/1.57  Subsumption          : 0.02
% 2.67/1.57  Abstraction          : 0.01
% 2.67/1.57  MUC search           : 0.00
% 2.67/1.57  Cooper               : 0.00
% 2.67/1.58  Total                : 0.56
% 2.67/1.58  Index Insertion      : 0.00
% 2.67/1.58  Index Deletion       : 0.00
% 2.67/1.58  Index Matching       : 0.00
% 2.67/1.58  BG Taut test         : 0.00
%------------------------------------------------------------------------------