TSTP Solution File: SYN346-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN346-1 : 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/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 : n007.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 11:10:33 EDT 2023

% Result   : Unsatisfiable 2.31s 1.67s
% Output   : CNFRefutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (;   9   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ f > z2 > z1 > #nlpp > b

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(z1,type,
    z1: ( $i * $i ) > $i ).

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

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

tff(z2,type,
    z2: ( $i * $i ) > $i ).

tff(f_30,axiom,
    ! [Y1,Y2] : f(Y1,z2(Y1,Y2)),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [Y1,Y2] :
      ( ~ f(b,z2(Y1,Y2))
      | ~ f(Y2,z2(Y1,Y2)) ),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [Y1_3,Y2_4] : f(Y1_3,z2(Y1_3,Y2_4)),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_11,plain,
    ! [Y2_13,Y1_14] :
      ( ~ f(Y2_13,z2(Y1_14,Y2_13))
      | ~ f(b,z2(Y1_14,Y2_13)) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_16,plain,
    ! [Y2_15] : ~ f(b,z2(Y2_15,Y2_15)),
    inference(resolution,[status(thm)],[c_4,c_11]) ).

tff(c_21,plain,
    $false,
    inference(resolution,[status(thm)],[c_4,c_16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : SYN346-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.15  % 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
% 0.15/0.37  % Computer : n007.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 17:05:08 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 2.31/1.67  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.31/1.67  
% 2.31/1.67  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.65/1.71  
% 2.65/1.71  Inference rules
% 2.65/1.71  ----------------------
% 2.65/1.71  #Ref     : 0
% 2.65/1.71  #Sup     : 2
% 2.65/1.71  #Fact    : 0
% 2.65/1.71  #Define  : 0
% 2.65/1.71  #Split   : 0
% 2.65/1.71  #Chain   : 0
% 2.65/1.71  #Close   : 0
% 2.65/1.71  
% 2.65/1.71  Ordering : KBO
% 2.65/1.71  
% 2.65/1.71  Simplification rules
% 2.65/1.71  ----------------------
% 2.65/1.71  #Subsume      : 0
% 2.65/1.71  #Demod        : 0
% 2.65/1.71  #Tautology    : 0
% 2.65/1.71  #SimpNegUnit  : 0
% 2.65/1.71  #BackRed      : 0
% 2.65/1.71  
% 2.65/1.71  #Partial instantiations: 0
% 2.65/1.71  #Strategies tried      : 1
% 2.65/1.71  
% 2.65/1.71  Timing (in seconds)
% 2.65/1.71  ----------------------
% 2.65/1.71  Preprocessing        : 0.42
% 2.65/1.71  Parsing              : 0.23
% 2.65/1.71  CNF conversion       : 0.02
% 2.65/1.71  Main loop            : 0.13
% 2.65/1.71  Inferencing          : 0.06
% 2.65/1.71  Reduction            : 0.03
% 2.65/1.71  Demodulation         : 0.02
% 2.65/1.71  BG Simplification    : 0.01
% 2.65/1.71  Subsumption          : 0.03
% 2.65/1.71  Abstraction          : 0.00
% 2.65/1.71  MUC search           : 0.00
% 2.65/1.71  Cooper               : 0.00
% 2.65/1.71  Total                : 0.60
% 2.65/1.71  Index Insertion      : 0.00
% 2.65/1.71  Index Deletion       : 0.00
% 2.65/1.71  Index Matching       : 0.00
% 2.65/1.71  BG Taut test         : 0.00
%------------------------------------------------------------------------------