TSTP Solution File: SYN318-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN318-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : n001.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 11:10:24 EDT 2023

% Result   : Unsatisfiable 1.93s 1.47s
% Output   : CNFRefutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   13 (   6 unt;   5 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    5 (;   5   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p > g > f > #nlpp > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(a,type,
    a: $i ).

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

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

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

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

tff(f_37,axiom,
    ! [X] : f(X),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [X] :
      ( ~ f(X)
      | ~ f(b)
      | g(X) ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ~ g(b),
    file(unknown,unknown) ).

tff(c_6,plain,
    ! [X_2] : f(X_2),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_2,plain,
    ! [X_1] :
      ( g(X_1)
      | ~ f(b)
      | ~ f(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_10,plain,
    ! [X_1] : g(X_1),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).

tff(c_8,plain,
    ~ g(b),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_12,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN318-1 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.14  % 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
% 0.14/0.36  % Computer : n001.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 : Thu Aug  3 17:59:10 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 1.93/1.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.93/1.48  
% 1.93/1.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.93/1.52  
% 1.93/1.52  Inference rules
% 1.93/1.52  ----------------------
% 1.93/1.52  #Ref     : 0
% 1.93/1.52  #Sup     : 0
% 1.93/1.52  #Fact    : 0
% 1.93/1.52  #Define  : 0
% 1.93/1.52  #Split   : 0
% 1.93/1.52  #Chain   : 0
% 1.93/1.52  #Close   : 0
% 1.93/1.52  
% 1.93/1.52  Ordering : KBO
% 1.93/1.52  
% 1.93/1.52  Simplification rules
% 1.93/1.52  ----------------------
% 1.93/1.52  #Subsume      : 3
% 1.93/1.52  #Demod        : 3
% 1.93/1.52  #Tautology    : 0
% 1.93/1.52  #SimpNegUnit  : 0
% 1.93/1.52  #BackRed      : 0
% 1.93/1.52  
% 1.93/1.52  #Partial instantiations: 0
% 1.93/1.52  #Strategies tried      : 1
% 1.93/1.52  
% 1.93/1.52  Timing (in seconds)
% 1.93/1.52  ----------------------
% 1.93/1.52  Preprocessing        : 0.37
% 1.93/1.52  Parsing              : 0.20
% 1.93/1.52  CNF conversion       : 0.02
% 1.93/1.52  Main loop            : 0.05
% 1.93/1.52  Inferencing          : 0.00
% 1.93/1.53  Reduction            : 0.03
% 1.93/1.53  Demodulation         : 0.02
% 1.93/1.53  BG Simplification    : 0.01
% 1.93/1.53  Subsumption          : 0.02
% 1.93/1.53  Abstraction          : 0.00
% 1.93/1.53  MUC search           : 0.00
% 1.93/1.53  Cooper               : 0.00
% 1.93/1.53  Total                : 0.49
% 1.93/1.53  Index Insertion      : 0.00
% 1.93/1.53  Index Deletion       : 0.00
% 1.93/1.53  Index Matching       : 0.00
% 1.93/1.53  BG Taut test         : 0.00
%------------------------------------------------------------------------------