TSTP Solution File: LAT033-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LAT033-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 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 : n008.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 10:46:15 EDT 2023

% Result   : Unsatisfiable 2.74s 1.72s
% Output   : CNFRefutation 2.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   8 unt;   3 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 :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (;   9   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > xx

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(join,type,
    join: ( $i * $i ) > $i ).

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

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

tff(f_28,axiom,
    ! [X,Y] : ( meet(X,join(X,Y)) = X ),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [X,Y] : ( join(X,meet(X,Y)) = X ),
    file(unknown,unknown) ).

tff(f_40,axiom,
    join(xx,xx) != xx,
    file(unknown,unknown) ).

tff(c_2,plain,
    ! [X_1,Y_2] : ( meet(X_1,join(X_1,Y_2)) = X_1 ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_96,plain,
    ! [X_21,Y_22] : ( join(X_21,meet(X_21,Y_22)) = X_21 ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_114,plain,
    ! [X_1] : ( join(X_1,X_1) = X_1 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_96]) ).

tff(c_14,plain,
    join(xx,xx) != xx,
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_182,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_114,c_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT033-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.00/0.14  % 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
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 12:33:18 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.74/1.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/1.73  
% 2.74/1.73  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.74/1.76  
% 2.74/1.76  Inference rules
% 2.74/1.76  ----------------------
% 2.74/1.76  #Ref     : 0
% 2.74/1.76  #Sup     : 43
% 2.74/1.76  #Fact    : 0
% 2.74/1.76  #Define  : 0
% 2.74/1.76  #Split   : 0
% 2.74/1.76  #Chain   : 0
% 2.74/1.76  #Close   : 0
% 2.74/1.76  
% 2.74/1.76  Ordering : KBO
% 2.74/1.76  
% 2.74/1.76  Simplification rules
% 2.74/1.76  ----------------------
% 2.74/1.76  #Subsume      : 0
% 2.74/1.76  #Demod        : 7
% 2.74/1.76  #Tautology    : 26
% 2.74/1.76  #SimpNegUnit  : 0
% 2.74/1.76  #BackRed      : 1
% 2.74/1.76  
% 2.74/1.76  #Partial instantiations: 0
% 2.74/1.76  #Strategies tried      : 1
% 2.74/1.76  
% 2.74/1.76  Timing (in seconds)
% 2.74/1.76  ----------------------
% 2.74/1.76  Preprocessing        : 0.41
% 2.74/1.76  Parsing              : 0.22
% 2.74/1.76  CNF conversion       : 0.02
% 2.74/1.76  Main loop            : 0.22
% 2.74/1.76  Inferencing          : 0.08
% 2.74/1.76  Reduction            : 0.07
% 2.74/1.76  Demodulation         : 0.06
% 2.74/1.76  BG Simplification    : 0.01
% 2.74/1.76  Subsumption          : 0.04
% 2.74/1.76  Abstraction          : 0.01
% 2.74/1.76  MUC search           : 0.00
% 2.74/1.76  Cooper               : 0.00
% 2.74/1.76  Total                : 0.67
% 2.74/1.76  Index Insertion      : 0.00
% 2.74/1.76  Index Deletion       : 0.00
% 2.74/1.76  Index Matching       : 0.00
% 2.74/1.76  BG Taut test         : 0.00
%------------------------------------------------------------------------------