TSTP Solution File: SYO578+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% 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 : n026.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 11:18:08 EDT 2023

% Result   : Theorem 6.85s 2.71s
% Output   : CNFRefutation 6.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   72
% Syntax   : Number of formulae    :   87 (  10 unt;  70 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   42 (  17   ~;  10   |;  11   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-1 aty)
%            Number of functors    :   58 (  58 usr;  58 con; 0-0 aty)
%            Number of variables   :   15 (;   9   !;   6   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ k04_buttercup10622 > k04_buttercup10620 > k04_buttercup10619 > k04_buttercup10100 > b48_buttercup10111 > b48_buttercup10110 > b48_buttercup10109 > b48_buttercup10108 > b48_buttercup10107 > b48_buttercup10104 > b48_buttercup10102 > b48_buttercup10098 > #nlpp > #skF_33 > #skF_41 > #skF_57 > #skF_52 > #skF_49 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_31 > #skF_15 > #skF_25 > #skF_55 > #skF_38 > #skF_36 > #skF_56 > #skF_54 > #skF_43 > #skF_19 > #skF_40 > #skF_48 > #skF_7 > #skF_37 > #skF_10 > #skF_16 > #skF_47 > #skF_26 > #skF_53 > #skF_14 > #skF_51 > #skF_5 > #skF_45 > #skF_46 > #skF_39 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_32 > #skF_50 > #skF_8 > #skF_30 > #skF_42 > #skF_4 > #skF_22 > #skF_29 > #skF_28 > #skF_35 > #skF_24 > #skF_27 > #skF_23 > #skF_44 > #skF_58 > #skF_12 > #skF_34

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(b48_buttercup10110,type,
    b48_buttercup10110: $i > $o ).

tff('#skF_33',type,
    '#skF_33': $i ).

tff('#skF_41',type,
    '#skF_41': $i ).

tff('#skF_57',type,
    '#skF_57': $i ).

tff('#skF_52',type,
    '#skF_52': $i ).

tff(k04_buttercup10622,type,
    k04_buttercup10622: $i > $o ).

tff('#skF_49',type,
    '#skF_49': $i ).

tff('#skF_20',type,
    '#skF_20': $i ).

tff('#skF_18',type,
    '#skF_18': $i ).

tff('#skF_17',type,
    '#skF_17': $i ).

tff('#skF_11',type,
    '#skF_11': $i ).

tff('#skF_31',type,
    '#skF_31': $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

tff('#skF_25',type,
    '#skF_25': $i ).

tff(b48_buttercup10102,type,
    b48_buttercup10102: $i > $o ).

tff('#skF_55',type,
    '#skF_55': $i ).

tff(k04_buttercup10100,type,
    k04_buttercup10100: $i > $o ).

tff('#skF_38',type,
    '#skF_38': $i ).

tff('#skF_36',type,
    '#skF_36': $i ).

tff('#skF_56',type,
    '#skF_56': $i ).

tff('#skF_54',type,
    '#skF_54': $i ).

tff('#skF_43',type,
    '#skF_43': $i ).

tff('#skF_19',type,
    '#skF_19': $i ).

tff('#skF_40',type,
    '#skF_40': $i ).

tff(b48_buttercup10108,type,
    b48_buttercup10108: $i > $o ).

tff('#skF_48',type,
    '#skF_48': $i ).

tff('#skF_7',type,
    '#skF_7': $i ).

tff('#skF_37',type,
    '#skF_37': $i ).

tff('#skF_10',type,
    '#skF_10': $i ).

tff('#skF_16',type,
    '#skF_16': $i ).

tff('#skF_47',type,
    '#skF_47': $i ).

tff(k04_buttercup10619,type,
    k04_buttercup10619: $i > $o ).

tff('#skF_26',type,
    '#skF_26': $i ).

tff(b48_buttercup10107,type,
    b48_buttercup10107: $i > $o ).

tff('#skF_53',type,
    '#skF_53': $i ).

tff('#skF_14',type,
    '#skF_14': $i ).

tff('#skF_51',type,
    '#skF_51': $i ).

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

tff('#skF_45',type,
    '#skF_45': $i ).

tff('#skF_46',type,
    '#skF_46': $i ).

tff('#skF_39',type,
    '#skF_39': $i ).

tff(b48_buttercup10104,type,
    b48_buttercup10104: $i > $o ).

tff(b48_buttercup10111,type,
    b48_buttercup10111: $i > $o ).

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

tff('#skF_13',type,
    '#skF_13': $i ).

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

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

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

tff(b48_buttercup10098,type,
    b48_buttercup10098: $i > $o ).

tff(b48_buttercup10109,type,
    b48_buttercup10109: $i > $o ).

tff('#skF_21',type,
    '#skF_21': $i ).

tff('#skF_9',type,
    '#skF_9': $i ).

tff('#skF_32',type,
    '#skF_32': $i ).

tff('#skF_50',type,
    '#skF_50': $i ).

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

tff('#skF_30',type,
    '#skF_30': $i ).

tff('#skF_42',type,
    '#skF_42': $i ).

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

tff('#skF_22',type,
    '#skF_22': $i ).

tff('#skF_29',type,
    '#skF_29': $i ).

tff('#skF_28',type,
    '#skF_28': $i ).

tff('#skF_35',type,
    '#skF_35': $i ).

tff('#skF_24',type,
    '#skF_24': $i ).

tff('#skF_27',type,
    '#skF_27': $i ).

tff('#skF_23',type,
    '#skF_23': $i ).

tff('#skF_44',type,
    '#skF_44': $i ).

tff(k04_buttercup10620,type,
    k04_buttercup10620: $i > $o ).

tff('#skF_58',type,
    '#skF_58': $i ).

tff('#skF_12',type,
    '#skF_12': $i ).

tff('#skF_34',type,
    '#skF_34': $i ).

tff(f_340,axiom,
    ( ! [X61] :
        ( k04_buttercup10100(X61)
       => b48_buttercup10098(X61) )
    & ? [X62] :
        ( b48_buttercup10098(X62)
        & ~ k04_buttercup10100(X62) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).

tff(f_757,negated_conjecture,
    ~ ( ( ! [X142] :
            ( b48_buttercup10098(X142)
           => k04_buttercup10100(X142) )
        & ? [X143] :
            ( k04_buttercup10100(X143)
            & ~ b48_buttercup10098(X143) ) )
      | ( ! [X144] :
            ( k04_buttercup10100(X144)
           => b48_buttercup10098(X144) )
        & ? [X145] :
            ( b48_buttercup10098(X145)
            & ~ k04_buttercup10100(X145) ) )
      | ? [X146,X147,X148] :
          ( k04_buttercup10100(X146)
          & b48_buttercup10098(X146)
          & k04_buttercup10100(X147)
          & ~ b48_buttercup10098(X147)
          & ~ k04_buttercup10100(X148)
          & b48_buttercup10098(X148) )
      | ! [X149] :
          ( k04_buttercup10100(X149)
         => ~ b48_buttercup10098(X149) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).

tff(c_598,plain,
    b48_buttercup10098('#skF_32'),
    inference(cnfTransformation,[status(thm)],[f_340]) ).

tff(c_954,plain,
    ! [X145_89] :
      ( ~ b48_buttercup10098('#skF_57')
      | k04_buttercup10100(X145_89)
      | ~ b48_buttercup10098(X145_89) ),
    inference(cnfTransformation,[status(thm)],[f_757]) ).

tff(c_962,plain,
    ~ b48_buttercup10098('#skF_57'),
    inference(splitLeft,[status(thm)],[c_954]) ).

tff(c_956,plain,
    ! [X145_89] :
      ( k04_buttercup10100('#skF_57')
      | k04_buttercup10100(X145_89)
      | ~ b48_buttercup10098(X145_89) ),
    inference(cnfTransformation,[status(thm)],[f_757]) ).

tff(c_961,plain,
    k04_buttercup10100('#skF_57'),
    inference(splitLeft,[status(thm)],[c_956]) ).

tff(c_1091,plain,
    ! [X61_105] :
      ( b48_buttercup10098(X61_105)
      | ~ k04_buttercup10100(X61_105) ),
    inference(cnfTransformation,[status(thm)],[f_340]) ).

tff(c_1097,plain,
    b48_buttercup10098('#skF_57'),
    inference(resolution,[status(thm)],[c_961,c_1091]) ).

tff(c_1114,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_962,c_1097]) ).

tff(c_1117,plain,
    ! [X145_106] :
      ( k04_buttercup10100(X145_106)
      | ~ b48_buttercup10098(X145_106) ),
    inference(splitRight,[status(thm)],[c_954]) ).

tff(c_596,plain,
    ~ k04_buttercup10100('#skF_32'),
    inference(cnfTransformation,[status(thm)],[f_340]) ).

tff(c_1120,plain,
    ~ b48_buttercup10098('#skF_32'),
    inference(resolution,[status(thm)],[c_1117,c_596]) ).

tff(c_1124,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_1120]) ).

tff(c_1128,plain,
    ! [X145_107] :
      ( k04_buttercup10100(X145_107)
      | ~ b48_buttercup10098(X145_107) ),
    inference(splitRight,[status(thm)],[c_956]) ).

tff(c_1134,plain,
    ~ b48_buttercup10098('#skF_32'),
    inference(resolution,[status(thm)],[c_1128,c_596]) ).

tff(c_1139,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_1134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% 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
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 16:12:46 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 6.85/2.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.85/2.72  
% 6.85/2.72  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.85/2.75  
% 6.85/2.75  Inference rules
% 6.85/2.75  ----------------------
% 6.85/2.75  #Ref     : 0
% 6.85/2.75  #Sup     : 38
% 6.85/2.75  #Fact    : 0
% 6.85/2.75  #Define  : 0
% 6.85/2.75  #Split   : 3
% 6.85/2.75  #Chain   : 0
% 6.85/2.75  #Close   : 0
% 6.85/2.75  
% 6.85/2.75  Ordering : KBO
% 6.85/2.75  
% 6.85/2.75  Simplification rules
% 6.85/2.75  ----------------------
% 6.85/2.75  #Subsume      : 27
% 6.85/2.75  #Demod        : 2
% 6.85/2.75  #Tautology    : 0
% 6.85/2.75  #SimpNegUnit  : 1
% 6.85/2.75  #BackRed      : 0
% 6.85/2.75  
% 6.85/2.75  #Partial instantiations: 0
% 6.85/2.75  #Strategies tried      : 1
% 6.85/2.75  
% 6.85/2.75  Timing (in seconds)
% 6.85/2.75  ----------------------
% 6.85/2.75  Preprocessing        : 0.78
% 6.85/2.75  Parsing              : 0.38
% 6.85/2.75  CNF conversion       : 0.08
% 6.85/2.75  Main loop            : 0.79
% 6.85/2.75  Inferencing          : 0.12
% 6.85/2.75  Reduction            : 0.31
% 6.85/2.75  Demodulation         : 0.21
% 6.85/2.75  BG Simplification    : 0.08
% 6.85/2.75  Subsumption          : 0.22
% 6.85/2.75  Abstraction          : 0.02
% 6.85/2.75  MUC search           : 0.00
% 6.85/2.75  Cooper               : 0.00
% 6.85/2.75  Total                : 1.62
% 6.85/2.75  Index Insertion      : 0.00
% 6.85/2.75  Index Deletion       : 0.00
% 6.85/2.75  Index Matching       : 0.00
% 6.85/2.75  BG Taut test         : 0.00
%------------------------------------------------------------------------------