TSTP Solution File: HWV010-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : HWV010-1 : 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 : n019.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 10:42:24 EDT 2023

% Result   : Unsatisfiable 4.21s 2.31s
% Output   : CNFRefutation 4.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   43 (  10 unt;  23 typ;   0 def)
%            Number of atoms       :   30 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   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   :    6 (;   6   !;   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_146,axiom,
    ! [X_t_32] : ( level(X_t_32) = int_level(X_t_32) ),
    file(unknown,unknown) ).

tff(f_943,axiom,
    ( ~ p_Empty(t_139)
    | ( level(t_139) != n0 ) ),
    file(unknown,unknown) ).

tff(f_946,axiom,
    ( p_Empty(t_139)
    | ( level(t_139) = n0 ) ),
    file(unknown,unknown) ).

tff(f_161,axiom,
    ! [X_t_35] :
      ( ( int_level(X_t_35) != n0 )
      | p_Empty(X_t_35) ),
    file(unknown,unknown) ).

tff(f_166,axiom,
    ! [X_t_36] :
      ( ( int_level(X_t_36) = n0 )
      | ~ p_Empty(X_t_36) ),
    file(unknown,unknown) ).

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_182,plain,
    ( ( level(t_139) != n0 )
    | ~ p_Empty(t_139) ),
    inference(cnfTransformation,[status(thm)],[f_943]) ).

tff(c_186,plain,
    ( ( int_level(t_139) != n0 )
    | ~ p_Empty(t_139) ),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_182]) ).

tff(c_213,plain,
    ~ p_Empty(t_139),
    inference(splitLeft,[status(thm)],[c_186]) ).

tff(c_184,plain,
    ( ( level(t_139) = n0 )
    | p_Empty(t_139) ),
    inference(cnfTransformation,[status(thm)],[f_946]) ).

tff(c_185,plain,
    ( ( int_level(t_139) = n0 )
    | p_Empty(t_139) ),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_184]) ).

tff(c_242,plain,
    int_level(t_139) = n0,
    inference(negUnitSimplification,[status(thm)],[c_213,c_185]) ).

tff(c_233,plain,
    ! [X_t_35_150] :
      ( p_Empty(X_t_35_150)
      | ( int_level(X_t_35_150) != n0 ) ),
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_241,plain,
    int_level(t_139) != n0,
    inference(resolution,[status(thm)],[c_233,c_213]) ).

tff(c_248,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_242,c_241]) ).

tff(c_249,plain,
    int_level(t_139) != n0,
    inference(splitRight,[status(thm)],[c_186]) ).

tff(c_250,plain,
    p_Empty(t_139),
    inference(splitRight,[status(thm)],[c_186]) ).

tff(c_257,plain,
    ! [X_t_36_153] :
      ( ~ p_Empty(X_t_36_153)
      | ( int_level(X_t_36_153) = n0 ) ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_260,plain,
    int_level(t_139) = n0,
    inference(resolution,[status(thm)],[c_250,c_257]) ).

tff(c_264,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_249,c_260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.25  % Problem  : HWV010-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.26  % 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
% 0.14/0.52  % Computer : n019.cluster.edu
% 0.14/0.52  % Model    : x86_64 x86_64
% 0.14/0.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.52  % Memory   : 8042.1875MB
% 0.14/0.52  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.52  % CPULimit : 300
% 0.14/0.52  % WCLimit  : 300
% 0.14/0.52  % DateTime : Thu Aug  3 23:59:46 EDT 2023
% 0.14/0.53  % CPUTime  : 
% 4.21/2.31  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.21/2.31  
% 4.21/2.31  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.21/2.34  
% 4.21/2.34  Inference rules
% 4.21/2.34  ----------------------
% 4.21/2.34  #Ref     : 0
% 4.21/2.34  #Sup     : 14
% 4.21/2.34  #Fact    : 0
% 4.21/2.34  #Define  : 0
% 4.21/2.34  #Split   : 1
% 4.21/2.34  #Chain   : 0
% 4.21/2.34  #Close   : 0
% 4.21/2.34  
% 4.21/2.34  Ordering : KBO
% 4.21/2.34  
% 4.21/2.34  Simplification rules
% 4.21/2.34  ----------------------
% 4.21/2.34  #Subsume      : 1
% 4.21/2.34  #Demod        : 4
% 4.21/2.34  #Tautology    : 10
% 4.21/2.34  #SimpNegUnit  : 2
% 4.21/2.34  #BackRed      : 0
% 4.21/2.34  
% 4.21/2.34  #Partial instantiations: 0
% 4.21/2.34  #Strategies tried      : 1
% 4.21/2.34  
% 4.21/2.34  Timing (in seconds)
% 4.21/2.34  ----------------------
% 4.21/2.34  Preprocessing        : 0.72
% 4.21/2.34  Parsing              : 0.38
% 4.21/2.34  CNF conversion       : 0.05
% 4.21/2.34  Main loop            : 0.31
% 4.21/2.35  Inferencing          : 0.06
% 4.21/2.35  Reduction            : 0.10
% 4.21/2.35  Demodulation         : 0.07
% 4.21/2.35  BG Simplification    : 0.05
% 4.21/2.35  Subsumption          : 0.10
% 4.21/2.35  Abstraction          : 0.01
% 4.21/2.35  MUC search           : 0.00
% 4.21/2.35  Cooper               : 0.00
% 4.21/2.35  Total                : 1.08
% 4.21/2.35  Index Insertion      : 0.00
% 4.21/2.35  Index Deletion       : 0.00
% 4.21/2.35  Index Matching       : 0.00
% 4.21/2.35  BG Taut test         : 0.00
%------------------------------------------------------------------------------