TSTP Solution File: HWV025-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : HWV025-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n002.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 10:42:29 EDT 2023

% Result   : Unsatisfiable 6.77s 2.57s
% Output   : CNFRefutation 7.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   53 (  12 unt;  23 typ;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   78 (  27   ~;  51   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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  :   13 (  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_942,axiom,
    ~ p_Reset(t_139),
    file(unknown,unknown) ).

tff(f_940,axiom,
    ~ p_Rd(t_139),
    file(unknown,unknown) ).

tff(f_947,axiom,
    ( ~ p_Rd_error(t_139)
    | ~ p_Rd_error(plus(t_139,n1)) ),
    file(unknown,unknown) ).

tff(f_950,axiom,
    ( p_Rd_error(t_139)
    | p_Rd_error(plus(t_139,n1)) ),
    file(unknown,unknown) ).

tff(f_429,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Rd(X_t_42)
      | ~ p_Rd_error(plus(X_t_42,n1))
      | p_Rd_error(X_t_42) ),
    file(unknown,unknown) ).

tff(f_889,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | p_Wr(X_t_42)
      | p_Rd(X_t_42)
      | ~ p_Rd_error(plus(X_t_42,n1))
      | p_Rd_error(X_t_42) ),
    file(unknown,unknown) ).

tff(f_900,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | p_Wr(X_t_42)
      | p_Rd(X_t_42)
      | p_Rd_error(plus(X_t_42,n1))
      | ~ p_Rd_error(X_t_42) ),
    file(unknown,unknown) ).

tff(f_441,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Rd(X_t_42)
      | p_Rd_error(plus(X_t_42,n1))
      | ~ p_Rd_error(X_t_42) ),
    file(unknown,unknown) ).

tff(c_184,plain,
    ~ p_Reset(t_139),
    inference(cnfTransformation,[status(thm)],[f_942]) ).

tff(c_182,plain,
    ~ p_Rd(t_139),
    inference(cnfTransformation,[status(thm)],[f_940]) ).

tff(c_186,plain,
    ( ~ p_Rd_error(plus(t_139,n1))
    | ~ p_Rd_error(t_139) ),
    inference(cnfTransformation,[status(thm)],[f_947]) ).

tff(c_239,plain,
    ~ p_Rd_error(t_139),
    inference(splitLeft,[status(thm)],[c_186]) ).

tff(c_188,plain,
    ( p_Rd_error(plus(t_139,n1))
    | p_Rd_error(t_139) ),
    inference(cnfTransformation,[status(thm)],[f_950]) ).

tff(c_246,plain,
    p_Rd_error(plus(t_139,n1)),
    inference(negUnitSimplification,[status(thm)],[c_239,c_188]) ).

tff(c_1583,plain,
    ! [X_t_42_229] :
      ( p_Rd_error(X_t_42_229)
      | ~ p_Rd_error(plus(X_t_42_229,n1))
      | p_Rd(X_t_42_229)
      | ~ p_Wr(X_t_42_229)
      | p_Reset(X_t_42_229) ),
    inference(cnfTransformation,[status(thm)],[f_429]) ).

tff(c_1593,plain,
    ( p_Rd_error(t_139)
    | p_Rd(t_139)
    | ~ p_Wr(t_139)
    | p_Reset(t_139) ),
    inference(resolution,[status(thm)],[c_246,c_1583]) ).

tff(c_1600,plain,
    ~ p_Wr(t_139),
    inference(negUnitSimplification,[status(thm)],[c_184,c_182,c_239,c_1593]) ).

tff(c_2240,plain,
    ! [X_t_42_251] :
      ( p_Rd_error(X_t_42_251)
      | ~ p_Rd_error(plus(X_t_42_251,n1))
      | p_Rd(X_t_42_251)
      | p_Wr(X_t_42_251)
      | p_Reset(X_t_42_251) ),
    inference(cnfTransformation,[status(thm)],[f_889]) ).

tff(c_2253,plain,
    ( p_Rd_error(t_139)
    | p_Rd(t_139)
    | p_Wr(t_139)
    | p_Reset(t_139) ),
    inference(resolution,[status(thm)],[c_246,c_2240]) ).

tff(c_2262,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_184,c_1600,c_182,c_239,c_2253]) ).

tff(c_2264,plain,
    p_Rd_error(t_139),
    inference(splitRight,[status(thm)],[c_186]) ).

tff(c_3521,plain,
    ! [X_t_42_334] :
      ( ~ p_Rd_error(X_t_42_334)
      | p_Rd_error(plus(X_t_42_334,n1))
      | p_Rd(X_t_42_334)
      | p_Wr(X_t_42_334)
      | p_Reset(X_t_42_334) ),
    inference(cnfTransformation,[status(thm)],[f_900]) ).

tff(c_2263,plain,
    ~ p_Rd_error(plus(t_139,n1)),
    inference(splitRight,[status(thm)],[c_186]) ).

tff(c_3527,plain,
    ( ~ p_Rd_error(t_139)
    | p_Rd(t_139)
    | p_Wr(t_139)
    | p_Reset(t_139) ),
    inference(resolution,[status(thm)],[c_3521,c_2263]) ).

tff(c_3542,plain,
    ( p_Rd(t_139)
    | p_Wr(t_139)
    | p_Reset(t_139) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2264,c_3527]) ).

tff(c_3543,plain,
    p_Wr(t_139),
    inference(negUnitSimplification,[status(thm)],[c_184,c_182,c_3542]) ).

tff(c_3815,plain,
    ! [X_t_42_341] :
      ( ~ p_Rd_error(X_t_42_341)
      | p_Rd_error(plus(X_t_42_341,n1))
      | p_Rd(X_t_42_341)
      | ~ p_Wr(X_t_42_341)
      | p_Reset(X_t_42_341) ),
    inference(cnfTransformation,[status(thm)],[f_441]) ).

tff(c_3821,plain,
    ( ~ p_Rd_error(t_139)
    | p_Rd(t_139)
    | ~ p_Wr(t_139)
    | p_Reset(t_139) ),
    inference(resolution,[status(thm)],[c_3815,c_2263]) ).

tff(c_3836,plain,
    ( p_Rd(t_139)
    | p_Reset(t_139) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3543,c_2264,c_3821]) ).

tff(c_3838,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_184,c_182,c_3836]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : HWV025-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug  4 00:02:31 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 6.77/2.57  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.77/2.58  
% 6.77/2.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.20/2.61  
% 7.20/2.61  Inference rules
% 7.20/2.61  ----------------------
% 7.20/2.61  #Ref     : 4
% 7.20/2.61  #Sup     : 765
% 7.20/2.61  #Fact    : 4
% 7.20/2.61  #Define  : 0
% 7.20/2.61  #Split   : 8
% 7.20/2.61  #Chain   : 0
% 7.20/2.61  #Close   : 0
% 7.20/2.61  
% 7.20/2.61  Ordering : KBO
% 7.20/2.61  
% 7.20/2.61  Simplification rules
% 7.20/2.61  ----------------------
% 7.20/2.61  #Subsume      : 225
% 7.20/2.61  #Demod        : 122
% 7.20/2.61  #Tautology    : 223
% 7.20/2.61  #SimpNegUnit  : 151
% 7.20/2.61  #BackRed      : 3
% 7.20/2.61  
% 7.20/2.61  #Partial instantiations: 0
% 7.20/2.61  #Strategies tried      : 1
% 7.20/2.61  
% 7.20/2.61  Timing (in seconds)
% 7.20/2.61  ----------------------
% 7.20/2.61  Preprocessing        : 0.71
% 7.20/2.61  Parsing              : 0.37
% 7.20/2.61  CNF conversion       : 0.05
% 7.20/2.61  Main loop            : 0.83
% 7.20/2.61  Inferencing          : 0.30
% 7.20/2.61  Reduction            : 0.23
% 7.20/2.61  Demodulation         : 0.14
% 7.20/2.61  BG Simplification    : 0.06
% 7.20/2.61  Subsumption          : 0.19
% 7.20/2.61  Abstraction          : 0.03
% 7.20/2.61  MUC search           : 0.00
% 7.20/2.61  Cooper               : 0.00
% 7.20/2.61  Total                : 1.59
% 7.20/2.61  Index Insertion      : 0.00
% 7.20/2.61  Index Deletion       : 0.00
% 7.20/2.61  Index Matching       : 0.00
% 7.20/2.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------