TSTP Solution File: KRS091+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KRS091+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 : n021.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 10:45:09 EDT 2023

% Result   : Unsatisfiable 2.71s 1.62s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   22 (   4 unt;  12 typ;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   4   |;   1   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (;   7   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ xsd_string > xsd_integer > cowlThing > cowlNothing > cf > ce3 > cd1 > cd > cc1 > cc > cUnsatisfiable > #nlpp > i2003_11_14_17_20_00819

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(i2003_11_14_17_20_00819,type,
    i2003_11_14_17_20_00819: $i ).

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

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

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

tff(cc1,type,
    cc1: $i > $o ).

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

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

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

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

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

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

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

tff(f_48,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( cd(X)
        & cc(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

tff(f_54,axiom,
    ! [X] :
      ( cc(X)
     => ~ cd(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

tff(f_77,axiom,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

tff(c_12,plain,
    ! [X_3] :
      ( cc(X_3)
      | ~ cUnsatisfiable(X_3) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_37,plain,
    ! [X_15] :
      ( cd(X_15)
      | ~ cUnsatisfiable(X_15) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_16,plain,
    ! [X_4] :
      ( ~ cd(X_4)
      | ~ cc(X_4) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_51,plain,
    ! [X_21] :
      ( ~ cc(X_21)
      | ~ cUnsatisfiable(X_21) ),
    inference(resolution,[status(thm)],[c_37,c_16]) ).

tff(c_55,plain,
    ! [X_3] : ~ cUnsatisfiable(X_3),
    inference(resolution,[status(thm)],[c_12,c_51]) ).

tff(c_26,plain,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_57,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_55,c_26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS091+1 : TPTP v8.1.2. Released v3.1.0.
% 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
% 0.16/0.35  % Computer : n021.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 20:08:51 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 2.71/1.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.71/1.63  
% 2.71/1.63  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.79/1.65  
% 2.79/1.65  Inference rules
% 2.79/1.65  ----------------------
% 2.79/1.65  #Ref     : 0
% 2.79/1.65  #Sup     : 4
% 2.79/1.65  #Fact    : 0
% 2.79/1.65  #Define  : 0
% 2.79/1.65  #Split   : 0
% 2.79/1.65  #Chain   : 0
% 2.79/1.65  #Close   : 0
% 2.79/1.65  
% 2.79/1.65  Ordering : KBO
% 2.79/1.65  
% 2.79/1.65  Simplification rules
% 2.79/1.65  ----------------------
% 2.79/1.65  #Subsume      : 6
% 2.79/1.65  #Demod        : 0
% 2.79/1.65  #Tautology    : 1
% 2.79/1.65  #SimpNegUnit  : 1
% 2.79/1.65  #BackRed      : 1
% 2.79/1.65  
% 2.79/1.65  #Partial instantiations: 0
% 2.79/1.65  #Strategies tried      : 1
% 2.79/1.65  
% 2.79/1.65  Timing (in seconds)
% 2.79/1.65  ----------------------
% 2.79/1.66  Preprocessing        : 0.41
% 2.79/1.66  Parsing              : 0.23
% 2.79/1.66  CNF conversion       : 0.02
% 2.79/1.66  Main loop            : 0.19
% 2.79/1.66  Inferencing          : 0.09
% 2.79/1.66  Reduction            : 0.04
% 2.79/1.66  Demodulation         : 0.03
% 2.79/1.66  BG Simplification    : 0.01
% 2.79/1.66  Subsumption          : 0.04
% 2.79/1.66  Abstraction          : 0.01
% 2.79/1.66  MUC search           : 0.00
% 2.79/1.66  Cooper               : 0.00
% 2.79/1.66  Total                : 0.64
% 2.79/1.66  Index Insertion      : 0.00
% 2.79/1.66  Index Deletion       : 0.00
% 2.79/1.66  Index Matching       : 0.00
% 2.79/1.66  BG Taut test         : 0.00
%------------------------------------------------------------------------------