TSTP Solution File: KRS126+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KRS126+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 : n010.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 10:45:14 EDT 2023

% Result   : Unsatisfiable 3.26s 1.80s
% Output   : CNFRefutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   33 (   4 unt;  19 typ;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  11   ~;   6   |;   0   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  18   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   14 (;  12   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ ra_Px2 > ra_Px1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cf > ce3 > cdxcomp > cd1xcomp > cd1 > cd > cc > cUnsatisfiable > #nlpp > i2003_11_14_17_22_23554 > #skF_2 > #skF_4 > #skF_1 > #skF_3

%Foreground sorts:

%Background operators:

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

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

tff(i2003_11_14_17_22_23554,type,
    i2003_11_14_17_22_23554: $i ).

tff(ra_Px2,type,
    ra_Px2: ( $i * $i ) > $o ).

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

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

tff(cd1,type,
    cd1: $i > $o ).

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

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

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

tff(ce3,type,
    ce3: $i > $o ).

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

tff(ra_Px1,type,
    ra_Px1: ( $i * $i ) > $o ).

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

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

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

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

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

tff(cd1xcomp,type,
    cd1xcomp: $i > $o ).

tff(f_51,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
     => cd1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

tff(f_46,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
     => cd1xcomp(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

tff(f_75,axiom,
    ! [X] :
      ( cd1(X)
    <=> ? [Y0] : ra_Px2(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

tff(f_82,axiom,
    ! [X] :
      ( cd1xcomp(X)
    <=> ~ ? [Y] : ra_Px2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

tff(f_94,axiom,
    cUnsatisfiable(i2003_11_14_17_22_23554),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

tff(c_12,plain,
    ! [X_4] :
      ( cd1(X_4)
      | ~ cUnsatisfiable(X_4) ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_10,plain,
    ! [X_3] :
      ( cd1xcomp(X_3)
      | ~ cUnsatisfiable(X_3) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_83,plain,
    ! [X_46] :
      ( ra_Px2(X_46,'#skF_3'(X_46))
      | ~ cd1(X_46) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_28,plain,
    ! [X_18,Y_21] :
      ( ~ ra_Px2(X_18,Y_21)
      | ~ cd1xcomp(X_18) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_92,plain,
    ! [X_47] :
      ( ~ cd1xcomp(X_47)
      | ~ cd1(X_47) ),
    inference(resolution,[status(thm)],[c_83,c_28]) ).

tff(c_97,plain,
    ! [X_48] :
      ( ~ cd1(X_48)
      | ~ cUnsatisfiable(X_48) ),
    inference(resolution,[status(thm)],[c_10,c_92]) ).

tff(c_101,plain,
    ! [X_4] : ~ cUnsatisfiable(X_4),
    inference(resolution,[status(thm)],[c_12,c_97]) ).

tff(c_36,plain,
    cUnsatisfiable(i2003_11_14_17_22_23554),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_103,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_101,c_36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS126+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
% 0.13/0.35  % Computer : n010.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 20:00:13 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 3.26/1.80  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.26/1.80  
% 3.26/1.80  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.36/1.82  
% 3.36/1.82  Inference rules
% 3.36/1.82  ----------------------
% 3.36/1.82  #Ref     : 0
% 3.36/1.82  #Sup     : 11
% 3.36/1.82  #Fact    : 0
% 3.36/1.82  #Define  : 0
% 3.36/1.82  #Split   : 0
% 3.36/1.82  #Chain   : 0
% 3.36/1.82  #Close   : 0
% 3.36/1.82  
% 3.36/1.82  Ordering : KBO
% 3.36/1.82  
% 3.36/1.82  Simplification rules
% 3.36/1.82  ----------------------
% 3.36/1.82  #Subsume      : 3
% 3.36/1.82  #Demod        : 0
% 3.36/1.82  #Tautology    : 5
% 3.36/1.82  #SimpNegUnit  : 1
% 3.36/1.82  #BackRed      : 1
% 3.36/1.82  
% 3.36/1.82  #Partial instantiations: 0
% 3.36/1.82  #Strategies tried      : 1
% 3.36/1.82  
% 3.36/1.82  Timing (in seconds)
% 3.36/1.82  ----------------------
% 3.36/1.83  Preprocessing        : 0.47
% 3.36/1.83  Parsing              : 0.26
% 3.36/1.83  CNF conversion       : 0.03
% 3.36/1.83  Main loop            : 0.23
% 3.36/1.83  Inferencing          : 0.11
% 3.36/1.83  Reduction            : 0.05
% 3.36/1.83  Demodulation         : 0.03
% 3.36/1.83  BG Simplification    : 0.02
% 3.36/1.83  Subsumption          : 0.04
% 3.36/1.83  Abstraction          : 0.01
% 3.36/1.83  MUC search           : 0.00
% 3.36/1.83  Cooper               : 0.00
% 3.36/1.83  Total                : 0.75
% 3.36/1.83  Index Insertion      : 0.00
% 3.36/1.83  Index Deletion       : 0.00
% 3.36/1.83  Index Matching       : 0.00
% 3.36/1.83  BG Taut test         : 0.00
%------------------------------------------------------------------------------