TSTP Solution File: KRS099+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n017.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 10:45:10 EDT 2023

% Result   : Unsatisfiable 3.37s 1.83s
% Output   : CNFRefutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   30 (   5 unt;  18 typ;   0 def)
%            Number of atoms       :   35 (  11 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   37 (  14   ~;   9   |;  10   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  17   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (;  15   !;   3   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ rtt > xsd_string > xsd_integer > cowlThing > cowlNothing > cd > cc > ca > cUnsatisfiable > #nlpp > i2003_11_14_17_20_29215 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_8 > #skF_3 > #skF_6

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff(i2003_11_14_17_20_29215,type,
    i2003_11_14_17_20_29215: $i ).

tff('#skF_5',type,
    '#skF_5': $i > $i ).

tff('#skF_2',type,
    '#skF_2': $i > $i ).

tff('#skF_4',type,
    '#skF_4': $i > $i ).

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

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

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff('#skF_8',type,
    '#skF_8': $i > $i ).

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

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

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

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

tff('#skF_3',type,
    '#skF_3': $i > $i ).

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

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

tff('#skF_6',type,
    '#skF_6': $i > $i ).

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

tff(f_154,axiom,
    cUnsatisfiable(i2003_11_14_17_20_29215),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

tff(f_139,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y0,Y1,Y2] :
            ( rtt(X,Y0)
            & rtt(X,Y1)
            & rtt(X,Y2)
            & ( Y0 != Y1 )
            & ( Y0 != Y2 )
            & ( Y1 != Y2 ) )
        & ! [Y] :
            ( rtt(X,Y)
           => ca(Y) )
        & ! [Y0,Y1] :
            ( ( rtt(X,Y0)
              & rtt(X,Y1) )
           => ( Y0 = Y1 ) )
        & ! [Y0,Y1] :
            ( ( rtt(X,Y0)
              & rtt(X,Y1) )
           => ( Y0 = Y1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

tff(c_88,plain,
    cUnsatisfiable(i2003_11_14_17_20_29215),
    inference(cnfTransformation,[status(thm)],[f_154]) ).

tff(c_114,plain,
    ! [X_61] :
      ( ( '#skF_7'(X_61) != '#skF_8'(X_61) )
      | ~ cUnsatisfiable(X_61) ),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_118,plain,
    '#skF_7'(i2003_11_14_17_20_29215) != '#skF_8'(i2003_11_14_17_20_29215),
    inference(resolution,[status(thm)],[c_88,c_114]) ).

tff(c_44,plain,
    ! [X_25] :
      ( rtt(X_25,'#skF_7'(X_25))
      | ~ cUnsatisfiable(X_25) ),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_42,plain,
    ! [X_25] :
      ( rtt(X_25,'#skF_8'(X_25))
      | ~ cUnsatisfiable(X_25) ),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_136,plain,
    ! [Y1_68,Y0_69,X_70] :
      ( ( Y1_68 = Y0_69 )
      | ~ rtt(X_70,Y1_68)
      | ~ rtt(X_70,Y0_69)
      | ~ cUnsatisfiable(X_70) ),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_147,plain,
    ! [Y0_72,X_73] :
      ( ( Y0_72 = '#skF_8'(X_73) )
      | ~ rtt(X_73,Y0_72)
      | ~ cUnsatisfiable(X_73) ),
    inference(resolution,[status(thm)],[c_42,c_136]) ).

tff(c_161,plain,
    ! [X_74] :
      ( ( '#skF_7'(X_74) = '#skF_8'(X_74) )
      | ~ cUnsatisfiable(X_74) ),
    inference(resolution,[status(thm)],[c_44,c_147]) ).

tff(c_164,plain,
    '#skF_7'(i2003_11_14_17_20_29215) = '#skF_8'(i2003_11_14_17_20_29215),
    inference(resolution,[status(thm)],[c_88,c_161]) ).

tff(c_168,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_118,c_164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14  % 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
% 0.14/0.36  % Computer : n017.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 19:32:36 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.37/1.83  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.37/1.83  
% 3.37/1.83  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.69/1.86  
% 3.69/1.86  Inference rules
% 3.69/1.86  ----------------------
% 3.69/1.86  #Ref     : 0
% 3.69/1.86  #Sup     : 15
% 3.69/1.86  #Fact    : 0
% 3.69/1.86  #Define  : 0
% 3.69/1.86  #Split   : 0
% 3.69/1.86  #Chain   : 0
% 3.69/1.86  #Close   : 0
% 3.69/1.86  
% 3.69/1.86  Ordering : KBO
% 3.69/1.86  
% 3.69/1.86  Simplification rules
% 3.69/1.86  ----------------------
% 3.69/1.86  #Subsume      : 1
% 3.69/1.86  #Demod        : 0
% 3.69/1.86  #Tautology    : 13
% 3.69/1.86  #SimpNegUnit  : 1
% 3.69/1.86  #BackRed      : 0
% 3.69/1.86  
% 3.69/1.86  #Partial instantiations: 0
% 3.69/1.86  #Strategies tried      : 1
% 3.69/1.86  
% 3.69/1.86  Timing (in seconds)
% 3.69/1.86  ----------------------
% 3.69/1.86  Preprocessing        : 0.54
% 3.69/1.86  Parsing              : 0.26
% 3.69/1.86  CNF conversion       : 0.04
% 3.69/1.86  Main loop            : 0.24
% 3.69/1.86  Inferencing          : 0.08
% 3.69/1.86  Reduction            : 0.06
% 3.69/1.86  Demodulation         : 0.04
% 3.69/1.86  BG Simplification    : 0.03
% 3.69/1.86  Subsumption          : 0.07
% 3.69/1.86  Abstraction          : 0.01
% 3.69/1.86  MUC search           : 0.00
% 3.69/1.86  Cooper               : 0.00
% 3.69/1.86  Total                : 0.83
% 3.69/1.86  Index Insertion      : 0.00
% 3.69/1.86  Index Deletion       : 0.00
% 3.69/1.86  Index Matching       : 0.00
% 3.69/1.86  BG Taut test         : 0.00
%------------------------------------------------------------------------------