TSTP Solution File: SYN978+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN978+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n028.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 11:17:02 EDT 2023

% Result   : Theorem 2.03s 1.41s
% Output   : CNFRefutation 2.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   4 unt;   2 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    8 (   4   ~;   1   |;   1   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   3 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(b,type,
    b: $o ).

tff(a,type,
    a: $o ).

tff(f_32,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

tff(c_4,plain,
    a,
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_6,plain,
    ( ~ b
    | ~ a ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_15,plain,
    ~ b,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_6]) ).

tff(c_2,plain,
    b,
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_16,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN978+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % 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
% 0.19/0.36  % Computer : n028.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Thu Aug  3 17:37:24 EDT 2023
% 0.19/0.36  % CPUTime  : 
% 2.03/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.03/1.41  
% 2.03/1.41  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.16/1.45  
% 2.16/1.45  Inference rules
% 2.16/1.45  ----------------------
% 2.16/1.45  #Ref     : 0
% 2.16/1.45  #Sup     : 0
% 2.16/1.45  #Fact    : 0
% 2.16/1.45  #Define  : 0
% 2.16/1.45  #Split   : 0
% 2.16/1.45  #Chain   : 0
% 2.16/1.45  #Close   : 0
% 2.16/1.45  
% 2.16/1.45  Ordering : KBO
% 2.16/1.45  
% 2.16/1.45  Simplification rules
% 2.16/1.45  ----------------------
% 2.16/1.45  #Subsume      : 2
% 2.16/1.45  #Demod        : 2
% 2.16/1.45  #Tautology    : 3
% 2.16/1.45  #SimpNegUnit  : 1
% 2.16/1.45  #BackRed      : 0
% 2.16/1.45  
% 2.16/1.45  #Partial instantiations: 0
% 2.16/1.45  #Strategies tried      : 1
% 2.16/1.45  
% 2.16/1.45  Timing (in seconds)
% 2.16/1.45  ----------------------
% 2.16/1.45  Preprocessing        : 0.32
% 2.16/1.45  Parsing              : 0.17
% 2.16/1.45  CNF conversion       : 0.02
% 2.16/1.45  Main loop            : 0.05
% 2.16/1.45  Inferencing          : 0.00
% 2.16/1.45  Reduction            : 0.02
% 2.16/1.45  Demodulation         : 0.01
% 2.16/1.45  BG Simplification    : 0.01
% 2.16/1.45  Subsumption          : 0.02
% 2.16/1.45  Abstraction          : 0.00
% 2.16/1.45  MUC search           : 0.00
% 2.16/1.45  Cooper               : 0.00
% 2.16/1.45  Total                : 0.42
% 2.16/1.45  Index Insertion      : 0.00
% 2.16/1.45  Index Deletion       : 0.00
% 2.16/1.45  Index Matching       : 0.00
% 2.16/1.45  BG Taut test         : 0.00
%------------------------------------------------------------------------------