TSTP Solution File: SYN081+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n031.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 11:09:33 EDT 2023

% Result   : Theorem 2.46s 1.56s
% Output   : CNFRefutation 2.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   2 unt;   2 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   1   &)
%                                         (   1 <=>;   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  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    6 (;   5   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ big_f > #nlpp > f

%Foreground sorts:

%Background operators:

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

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

tff(f_36,negated_conjecture,
    ~ ? [X] :
        ( big_f(X)
        & ~ big_f(f(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel59) ).

tff(f_30,axiom,
    ! [X] :
      ( big_f(X)
    <=> ~ big_f(f(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel59_1) ).

tff(c_6,plain,
    ! [X_2] :
      ( big_f(f(X_2))
      | ~ big_f(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_8,plain,
    ! [X_4] :
      ( ~ big_f(f(X_4))
      | ~ big_f(X_4) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_12,plain,
    ! [X_2] : ~ big_f(X_2),
    inference(resolution,[status(thm)],[c_6,c_8]) ).

tff(c_4,plain,
    ! [X_1] :
      ( big_f(X_1)
      | big_f(f(X_1)) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_15,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12,c_12,c_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16  % Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.17  % 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
% 0.16/0.38  % Computer : n031.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Thu Aug  3 17:37:44 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 2.46/1.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/1.57  
% 2.46/1.57  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.52/1.60  
% 2.52/1.60  Inference rules
% 2.52/1.60  ----------------------
% 2.52/1.60  #Ref     : 0
% 2.52/1.60  #Sup     : 1
% 2.52/1.60  #Fact    : 0
% 2.52/1.60  #Define  : 0
% 2.52/1.60  #Split   : 0
% 2.52/1.60  #Chain   : 0
% 2.52/1.60  #Close   : 0
% 2.52/1.60  
% 2.52/1.60  Ordering : KBO
% 2.52/1.60  
% 2.52/1.60  Simplification rules
% 2.52/1.60  ----------------------
% 2.52/1.60  #Subsume      : 2
% 2.52/1.60  #Demod        : 0
% 2.52/1.60  #Tautology    : 0
% 2.52/1.60  #SimpNegUnit  : 2
% 2.52/1.60  #BackRed      : 0
% 2.52/1.60  
% 2.52/1.60  #Partial instantiations: 0
% 2.52/1.60  #Strategies tried      : 1
% 2.52/1.60  
% 2.52/1.60  Timing (in seconds)
% 2.52/1.60  ----------------------
% 2.52/1.60  Preprocessing        : 0.39
% 2.52/1.60  Parsing              : 0.22
% 2.52/1.60  CNF conversion       : 0.02
% 2.52/1.60  Main loop            : 0.12
% 2.52/1.60  Inferencing          : 0.06
% 2.52/1.61  Reduction            : 0.01
% 2.52/1.61  Demodulation         : 0.01
% 2.52/1.61  BG Simplification    : 0.01
% 2.52/1.61  Subsumption          : 0.03
% 2.52/1.61  Abstraction          : 0.00
% 2.52/1.61  MUC search           : 0.00
% 2.52/1.61  Cooper               : 0.00
% 2.52/1.61  Total                : 0.56
% 2.52/1.61  Index Insertion      : 0.00
% 2.52/1.61  Index Deletion       : 0.00
% 2.52/1.61  Index Matching       : 0.00
% 2.52/1.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------