TSTP Solution File: SYN948+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN948+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 : n020.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 11:16:57 EDT 2023

% Result   : Theorem 1.81s 1.47s
% Output   : CNFRefutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   3 unt;   2 typ;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    4 (   2   ~;   0   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    5 (;   3   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ a > #nlpp > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff(a,type,
    a: ( $i * $i ) > $o ).

tff(f_33,negated_conjecture,
    ~ ( ! [X] :
        ? [Y] :
          ( a(X,Y)
          & a(Y,Y) )
     => ? [Z] : a(Z,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

tff(c_2,plain,
    ! [Z_3] : ~ a(Z_3,Z_3),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_4,plain,
    ! [X_1] : a('#skF_1'(X_1),'#skF_1'(X_1)),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_7,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2,c_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYN948+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n020.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 17:07:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 1.81/1.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.81/1.48  
% 1.81/1.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.81/1.51  
% 1.81/1.51  Inference rules
% 1.81/1.51  ----------------------
% 1.81/1.51  #Ref     : 0
% 1.81/1.51  #Sup     : 0
% 1.81/1.51  #Fact    : 0
% 1.81/1.51  #Define  : 0
% 1.81/1.51  #Split   : 0
% 1.81/1.51  #Chain   : 0
% 1.81/1.51  #Close   : 0
% 1.81/1.52  
% 1.81/1.52  Ordering : KBO
% 1.81/1.52  
% 1.81/1.52  Simplification rules
% 1.81/1.52  ----------------------
% 1.81/1.52  #Subsume      : 2
% 1.81/1.52  #Demod        : 0
% 1.81/1.52  #Tautology    : 0
% 1.81/1.52  #SimpNegUnit  : 1
% 1.81/1.52  #BackRed      : 0
% 1.81/1.52  
% 1.81/1.52  #Partial instantiations: 0
% 1.81/1.52  #Strategies tried      : 1
% 1.81/1.52  
% 1.81/1.52  Timing (in seconds)
% 1.81/1.52  ----------------------
% 1.81/1.52  Preprocessing        : 0.38
% 1.81/1.52  Parsing              : 0.21
% 1.81/1.52  CNF conversion       : 0.02
% 1.81/1.52  Main loop            : 0.06
% 1.81/1.52  Inferencing          : 0.00
% 1.81/1.52  Reduction            : 0.02
% 1.81/1.52  Demodulation         : 0.02
% 1.81/1.52  BG Simplification    : 0.01
% 1.81/1.52  Subsumption          : 0.03
% 1.81/1.52  Abstraction          : 0.00
% 1.81/1.52  MUC search           : 0.00
% 1.81/1.52  Cooper               : 0.00
% 1.81/1.52  Total                : 0.49
% 1.81/1.52  Index Insertion      : 0.00
% 1.81/1.52  Index Deletion       : 0.00
% 1.81/1.52  Index Matching       : 0.00
% 1.81/1.52  BG Taut test         : 0.00
%------------------------------------------------------------------------------