TSTP Solution File: SYN340+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN340+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 : n006.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 11:10:31 EDT 2023

% Result   : Theorem 1.81s 1.52s
% Output   : CNFRefutation 2.24s
% 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       :    5 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   2   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   10 (;   7   !;   3   ?;   0   :)

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

%Foreground sorts:

%Background operators:

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

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

tff(f_31,negated_conjecture,
    ~ ? [X] :
      ! [Y] :
      ? [Z1,Z2] :
        ( big_f(X,Y,Z1,Z2,Z1)
       => big_f(Z1,X,Y,Z1,Z2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_15_5) ).

tff(c_6,plain,
    ! [X_14,Z1_15,Z2_16] : big_f(X_14,'#skF_1'(X_14),Z1_15,Z2_16,Z1_15),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_4,plain,
    ! [Z1_9,X_1,Z2_10] : ~ big_f(Z1_9,X_1,'#skF_1'(X_1),Z1_9,Z2_10),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_11,plain,
    $false,
    inference(resolution,[status(thm)],[c_6,c_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN340+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % 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
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 17:02:14 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 1.81/1.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/1.52  
% 2.24/1.52  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.24/1.56  
% 2.24/1.56  Inference rules
% 2.24/1.56  ----------------------
% 2.24/1.56  #Ref     : 0
% 2.24/1.56  #Sup     : 1
% 2.24/1.56  #Fact    : 0
% 2.24/1.56  #Define  : 0
% 2.24/1.56  #Split   : 0
% 2.24/1.56  #Chain   : 0
% 2.24/1.56  #Close   : 0
% 2.24/1.56  
% 2.24/1.56  Ordering : KBO
% 2.24/1.56  
% 2.24/1.56  Simplification rules
% 2.24/1.56  ----------------------
% 2.24/1.56  #Subsume      : 0
% 2.24/1.56  #Demod        : 0
% 2.24/1.56  #Tautology    : 0
% 2.24/1.56  #SimpNegUnit  : 0
% 2.24/1.56  #BackRed      : 0
% 2.24/1.56  
% 2.24/1.56  #Partial instantiations: 0
% 2.24/1.56  #Strategies tried      : 1
% 2.24/1.56  
% 2.24/1.56  Timing (in seconds)
% 2.24/1.56  ----------------------
% 2.24/1.56  Preprocessing        : 0.38
% 2.24/1.56  Parsing              : 0.21
% 2.24/1.56  CNF conversion       : 0.03
% 2.24/1.56  Main loop            : 0.11
% 2.24/1.56  Inferencing          : 0.05
% 2.24/1.56  Reduction            : 0.02
% 2.24/1.56  Demodulation         : 0.02
% 2.24/1.56  BG Simplification    : 0.01
% 2.24/1.56  Subsumption          : 0.02
% 2.24/1.56  Abstraction          : 0.00
% 2.24/1.57  MUC search           : 0.00
% 2.24/1.57  Cooper               : 0.00
% 2.24/1.57  Total                : 0.54
% 2.24/1.57  Index Insertion      : 0.00
% 2.24/1.57  Index Deletion       : 0.00
% 2.56/1.57  Index Matching       : 0.00
% 2.56/1.57  BG Taut test         : 0.00
%------------------------------------------------------------------------------