TSTP Solution File: HWV009-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : HWV009-1 : TPTP v8.1.2. Released 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 : n020.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 10:42:23 EDT 2023

% Result   : Unsatisfiable 6.53s 2.51s
% Output   : CNFRefutation 6.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   46 (  13 unt;  23 typ;   0 def)
%            Number of atoms       :   36 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  17   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  19   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (;   8   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p_Mem > p_Data_out > p_Data_in > gt > def_10 > p_Wr_error > p_Wr > p_Reset > p_Rd_error > p_Rd > p_Full > p_Empty > plus > minus > #nlpp > y_27 > wr_level > rd_level > level > int_level > t_139 > n1 > n0 > fifo_length

%Foreground sorts:

%Background operators:

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

tff(rd_level,type,
    rd_level: $i > $i ).

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

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

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

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

tff(def_10,type,
    def_10: ( $i * $i ) > $o ).

tff(y_27,type,
    y_27: $i > $i ).

tff(t_139,type,
    t_139: $i ).

tff(n1,type,
    n1: $i ).

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

tff(wr_level,type,
    wr_level: $i > $i ).

tff(int_level,type,
    int_level: $i > $i ).

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

tff(n0,type,
    n0: $i ).

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

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

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

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

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

tff(level,type,
    level: $i > $i ).

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

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

tff(f_939,axiom,
    p_Reset(t_139),
    file(unknown,unknown) ).

tff(f_171,axiom,
    ! [X_t_37] :
      ( ~ p_Reset(X_t_37)
      | ( int_level(plus(X_t_37,n1)) = n0 ) ),
    file(unknown,unknown) ).

tff(f_146,axiom,
    ! [X_t_32] : ( level(X_t_32) = int_level(X_t_32) ),
    file(unknown,unknown) ).

tff(f_945,axiom,
    ( ( level(plus(t_139,n1)) != n0 )
    | p_Wr_error(plus(t_139,n1))
    | p_Rd_error(plus(t_139,n1)) ),
    file(unknown,unknown) ).

tff(f_193,axiom,
    ! [X_t_37] :
      ( ~ p_Reset(X_t_37)
      | ~ p_Rd_error(plus(X_t_37,n1)) ),
    file(unknown,unknown) ).

tff(f_187,axiom,
    ! [X_t_37] :
      ( ~ p_Reset(X_t_37)
      | ~ p_Wr_error(plus(X_t_37,n1)) ),
    file(unknown,unknown) ).

tff(c_182,plain,
    p_Reset(t_139),
    inference(cnfTransformation,[status(thm)],[f_939]) ).

tff(c_52,plain,
    ! [X_t_37_40] :
      ( ( int_level(plus(X_t_37_40,n1)) = n0 )
      | ~ p_Reset(X_t_37_40) ),
    inference(cnfTransformation,[status(thm)],[f_171]) ).

tff(c_42,plain,
    ! [X_t_32_35] : ( level(X_t_32_35) = int_level(X_t_32_35) ),
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_184,plain,
    ( p_Rd_error(plus(t_139,n1))
    | p_Wr_error(plus(t_139,n1))
    | ( level(plus(t_139,n1)) != n0 ) ),
    inference(cnfTransformation,[status(thm)],[f_945]) ).

tff(c_185,plain,
    ( p_Rd_error(plus(t_139,n1))
    | p_Wr_error(plus(t_139,n1))
    | ( int_level(plus(t_139,n1)) != n0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_184]) ).

tff(c_2385,plain,
    int_level(plus(t_139,n1)) != n0,
    inference(splitLeft,[status(thm)],[c_185]) ).

tff(c_2391,plain,
    ~ p_Reset(t_139),
    inference(superposition,[status(thm),theory(equality)],[c_52,c_2385]) ).

tff(c_2396,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_2391]) ).

tff(c_2397,plain,
    ( p_Wr_error(plus(t_139,n1))
    | p_Rd_error(plus(t_139,n1)) ),
    inference(splitRight,[status(thm)],[c_185]) ).

tff(c_2423,plain,
    p_Rd_error(plus(t_139,n1)),
    inference(splitLeft,[status(thm)],[c_2397]) ).

tff(c_60,plain,
    ! [X_t_37_44] :
      ( ~ p_Rd_error(plus(X_t_37_44,n1))
      | ~ p_Reset(X_t_37_44) ),
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_2478,plain,
    ~ p_Reset(t_139),
    inference(resolution,[status(thm)],[c_2423,c_60]) ).

tff(c_2486,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_2478]) ).

tff(c_2487,plain,
    p_Wr_error(plus(t_139,n1)),
    inference(splitRight,[status(thm)],[c_2397]) ).

tff(c_58,plain,
    ! [X_t_37_43] :
      ( ~ p_Wr_error(plus(X_t_37_43,n1))
      | ~ p_Reset(X_t_37_43) ),
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_2497,plain,
    ~ p_Reset(t_139),
    inference(resolution,[status(thm)],[c_2487,c_58]) ).

tff(c_2505,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_2497]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : HWV009-1 : TPTP v8.1.2. Released 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
% 0.17/0.36  % Computer : n020.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Fri Aug  4 00:01:52 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 6.53/2.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.53/2.51  
% 6.53/2.51  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.53/2.54  
% 6.53/2.54  Inference rules
% 6.53/2.54  ----------------------
% 6.53/2.54  #Ref     : 2
% 6.53/2.54  #Sup     : 482
% 6.53/2.54  #Fact    : 2
% 6.53/2.54  #Define  : 0
% 6.53/2.54  #Split   : 6
% 6.53/2.54  #Chain   : 0
% 6.53/2.54  #Close   : 0
% 6.53/2.54  
% 6.53/2.54  Ordering : KBO
% 6.53/2.54  
% 6.53/2.54  Simplification rules
% 6.53/2.54  ----------------------
% 6.53/2.54  #Subsume      : 138
% 6.53/2.54  #Demod        : 92
% 6.53/2.54  #Tautology    : 149
% 6.53/2.54  #SimpNegUnit  : 100
% 6.53/2.54  #BackRed      : 2
% 6.53/2.54  
% 6.53/2.54  #Partial instantiations: 0
% 6.53/2.54  #Strategies tried      : 1
% 6.53/2.54  
% 6.53/2.54  Timing (in seconds)
% 6.53/2.54  ----------------------
% 6.53/2.54  Preprocessing        : 0.72
% 6.53/2.54  Parsing              : 0.37
% 6.53/2.54  CNF conversion       : 0.05
% 6.53/2.54  Main loop            : 0.76
% 6.53/2.54  Inferencing          : 0.23
% 6.53/2.54  Reduction            : 0.22
% 6.53/2.54  Demodulation         : 0.14
% 6.53/2.54  BG Simplification    : 0.06
% 6.53/2.54  Subsumption          : 0.22
% 6.53/2.54  Abstraction          : 0.03
% 6.53/2.54  MUC search           : 0.00
% 6.53/2.54  Cooper               : 0.00
% 6.53/2.54  Total                : 1.52
% 6.53/2.54  Index Insertion      : 0.00
% 6.53/2.54  Index Deletion       : 0.00
% 6.53/2.54  Index Matching       : 0.00
% 6.53/2.54  BG Taut test         : 0.00
%------------------------------------------------------------------------------