TSTP Solution File: SYN727+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN727+1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n025.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 11:11:44 EDT 2023

% Result   : Theorem 2.37s 1.52s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    7 (   3   ~;   1   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (;   8   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ likes > #nlpp > lyle > bruce > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

tff(f_37,negated_conjecture,
    ~ ( ( ! [X] : likes(X,bruce)
        & ! [Y] :
            ( ? [Z] : likes(Y,Z)
           => likes(lyle,Y) ) )
     => ? [U] :
        ! [V] : likes(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm68) ).

tff(c_6,plain,
    ! [X_1] : likes(X_1,bruce),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_9,plain,
    ! [Y_9,Z_10] :
      ( likes(lyle,Y_9)
      | ~ likes(Y_9,Z_10) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_14,plain,
    ! [X_11] : likes(lyle,X_11),
    inference(resolution,[status(thm)],[c_6,c_9]) ).

tff(c_2,plain,
    ! [U_5] : ~ likes(U_5,'#skF_1'(U_5)),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_19,plain,
    $false,
    inference(resolution,[status(thm)],[c_14,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYN727+1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % 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
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 17:35:49 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 2.37/1.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.50/1.53  
% 2.50/1.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.50/1.56  
% 2.50/1.56  Inference rules
% 2.50/1.56  ----------------------
% 2.50/1.56  #Ref     : 0
% 2.50/1.56  #Sup     : 2
% 2.50/1.56  #Fact    : 0
% 2.50/1.56  #Define  : 0
% 2.50/1.56  #Split   : 0
% 2.50/1.56  #Chain   : 0
% 2.50/1.56  #Close   : 0
% 2.50/1.56  
% 2.50/1.56  Ordering : KBO
% 2.50/1.56  
% 2.50/1.56  Simplification rules
% 2.50/1.56  ----------------------
% 2.50/1.56  #Subsume      : 0
% 2.50/1.56  #Demod        : 1
% 2.50/1.56  #Tautology    : 1
% 2.50/1.56  #SimpNegUnit  : 0
% 2.50/1.56  #BackRed      : 0
% 2.50/1.56  
% 2.50/1.56  #Partial instantiations: 0
% 2.50/1.56  #Strategies tried      : 1
% 2.50/1.56  
% 2.50/1.56  Timing (in seconds)
% 2.50/1.56  ----------------------
% 2.50/1.57  Preprocessing        : 0.38
% 2.50/1.57  Parsing              : 0.21
% 2.50/1.57  CNF conversion       : 0.02
% 2.50/1.57  Main loop            : 0.13
% 2.50/1.57  Inferencing          : 0.06
% 2.50/1.57  Reduction            : 0.02
% 2.50/1.57  Demodulation         : 0.02
% 2.50/1.57  BG Simplification    : 0.01
% 2.50/1.57  Subsumption          : 0.03
% 2.50/1.57  Abstraction          : 0.00
% 2.50/1.57  MUC search           : 0.00
% 2.50/1.57  Cooper               : 0.00
% 2.50/1.57  Total                : 0.56
% 2.50/1.57  Index Insertion      : 0.00
% 2.50/1.57  Index Deletion       : 0.00
% 2.50/1.57  Index Matching       : 0.00
% 2.50/1.57  BG Taut test         : 0.00
%------------------------------------------------------------------------------