TSTP Solution File: HWV015-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : HWV015-1 : 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 : n013.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 10:42:26 EDT 2023

% Result   : Unsatisfiable 7.56s 2.91s
% Output   : CNFRefutation 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   42 (  15 unt;  23 typ;   0 def)
%            Number of atoms       :   31 (   9 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :    4 (;   4   !;   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 > x_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(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(x_139,type,
    x_139: $i ).

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

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

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

tff(f_943,axiom,
    ~ p_Reset(x_139),
    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(x_139,n1)) != level(x_139),
    file(unknown,unknown) ).

tff(f_941,axiom,
    p_Wr(x_139),
    file(unknown,unknown) ).

tff(f_940,axiom,
    p_Rd(x_139),
    file(unknown,unknown) ).

tff(f_939,axiom,
    gt(level(x_139),n0),
    file(unknown,unknown) ).

tff(f_479,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | ~ p_Wr(X_t_42)
      | ~ p_Rd(X_t_42)
      | ~ gt(int_level(X_t_42),n0)
      | ( int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ),
    file(unknown,unknown) ).

tff(c_188,plain,
    ~ p_Reset(x_139),
    inference(cnfTransformation,[status(thm)],[f_943]) ).

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_190,plain,
    level(plus(x_139,n1)) != level(x_139),
    inference(cnfTransformation,[status(thm)],[f_945]) ).

tff(c_192,plain,
    int_level(plus(x_139,n1)) != int_level(x_139),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_42,c_190]) ).

tff(c_186,plain,
    p_Wr(x_139),
    inference(cnfTransformation,[status(thm)],[f_941]) ).

tff(c_184,plain,
    p_Rd(x_139),
    inference(cnfTransformation,[status(thm)],[f_940]) ).

tff(c_182,plain,
    gt(level(x_139),n0),
    inference(cnfTransformation,[status(thm)],[f_939]) ).

tff(c_191,plain,
    gt(int_level(x_139),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_182]) ).

tff(c_5815,plain,
    ! [X_t_42_330] :
      ( ( int_level(plus(X_t_42_330,n1)) = int_level(X_t_42_330) )
      | ~ gt(int_level(X_t_42_330),n0)
      | ~ p_Rd(X_t_42_330)
      | ~ p_Wr(X_t_42_330)
      | p_Reset(X_t_42_330) ),
    inference(cnfTransformation,[status(thm)],[f_479]) ).

tff(c_5863,plain,
    ( ( int_level(plus(x_139,n1)) = int_level(x_139) )
    | ~ p_Rd(x_139)
    | ~ p_Wr(x_139)
    | p_Reset(x_139) ),
    inference(resolution,[status(thm)],[c_191,c_5815]) ).

tff(c_5883,plain,
    ( ( int_level(plus(x_139,n1)) = int_level(x_139) )
    | p_Reset(x_139) ),
    inference(demodulation,[status(thm),theory(equality)],[c_186,c_184,c_5863]) ).

tff(c_5885,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_188,c_192,c_5883]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : HWV015-1 : 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
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 23:52:32 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 7.56/2.91  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.56/2.92  
% 7.56/2.92  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.56/2.94  
% 7.56/2.94  Inference rules
% 7.56/2.94  ----------------------
% 7.56/2.94  #Ref     : 2
% 7.56/2.94  #Sup     : 1253
% 7.56/2.94  #Fact    : 2
% 7.56/2.94  #Define  : 0
% 7.56/2.94  #Split   : 9
% 7.56/2.94  #Chain   : 0
% 7.56/2.94  #Close   : 0
% 7.56/2.94  
% 7.56/2.94  Ordering : KBO
% 7.56/2.94  
% 7.56/2.94  Simplification rules
% 7.56/2.94  ----------------------
% 7.56/2.94  #Subsume      : 397
% 7.56/2.94  #Demod        : 297
% 7.56/2.94  #Tautology    : 352
% 7.56/2.94  #SimpNegUnit  : 280
% 7.56/2.94  #BackRed      : 2
% 7.56/2.94  
% 7.56/2.94  #Partial instantiations: 0
% 7.56/2.94  #Strategies tried      : 1
% 7.56/2.94  
% 7.56/2.94  Timing (in seconds)
% 7.56/2.94  ----------------------
% 7.56/2.94  Preprocessing        : 0.71
% 7.56/2.94  Parsing              : 0.37
% 7.56/2.94  CNF conversion       : 0.05
% 7.56/2.95  Main loop            : 1.19
% 7.56/2.95  Inferencing          : 0.40
% 7.56/2.95  Reduction            : 0.35
% 7.56/2.95  Demodulation         : 0.21
% 7.56/2.95  BG Simplification    : 0.08
% 7.56/2.95  Subsumption          : 0.30
% 7.56/2.95  Abstraction          : 0.04
% 7.56/2.95  MUC search           : 0.00
% 7.56/2.95  Cooper               : 0.00
% 7.56/2.95  Total                : 1.94
% 7.56/2.95  Index Insertion      : 0.00
% 7.56/2.95  Index Deletion       : 0.00
% 7.56/2.95  Index Matching       : 0.00
% 7.56/2.95  BG Taut test         : 0.00
%------------------------------------------------------------------------------