TSTP Solution File: MGT052+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT052+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n032.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 10:49:43 EDT 2023

% Result   : Theorem 2.79s 1.70s
% Output   : CNFRefutation 3.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   17 (   5 unt;   9 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   8   ~;   4   |;   1   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   7   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (;  11   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ dissimilar > smaller_or_equal > smaller > is_aligned > greater_or_equal > greater > organization > #nlpp > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

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

tff('#skF_2',type,
    '#skF_2': $i ).

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

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

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

tff(f_143,negated_conjecture,
    ~ ! [X,T] : ~ dissimilar(X,T,T),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',background_assumption_1) ).

tff(f_132,axiom,
    ! [X,T0,T] :
      ( dissimilar(X,T0,T)
    <=> ( organization(X)
        & ~ ( is_aligned(X,T0)
          <=> is_aligned(X,T) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).

tff(c_38,plain,
    dissimilar('#skF_1','#skF_2','#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_110,plain,
    ! [X_43,T0_44,T_45] :
      ( is_aligned(X_43,T0_44)
      | is_aligned(X_43,T_45)
      | ~ dissimilar(X_43,T0_44,T_45) ),
    inference(cnfTransformation,[status(thm)],[f_132]) ).

tff(c_114,plain,
    is_aligned('#skF_1','#skF_2'),
    inference(resolution,[status(thm)],[c_38,c_110]) ).

tff(c_115,plain,
    ! [X_46,T_47,T0_48] :
      ( ~ is_aligned(X_46,T_47)
      | ~ is_aligned(X_46,T0_48)
      | ~ dissimilar(X_46,T0_48,T_47) ),
    inference(cnfTransformation,[status(thm)],[f_132]) ).

tff(c_118,plain,
    ~ is_aligned('#skF_1','#skF_2'),
    inference(resolution,[status(thm)],[c_38,c_115]) ).

tff(c_122,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_114,c_118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT052+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % 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
% 0.12/0.33  % Computer : n032.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Aug  3 20:35:36 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 2.79/1.70  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.79/1.70  
% 2.79/1.70  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.00/1.72  
% 3.00/1.72  Inference rules
% 3.00/1.72  ----------------------
% 3.00/1.73  #Ref     : 0
% 3.00/1.73  #Sup     : 13
% 3.00/1.73  #Fact    : 2
% 3.00/1.73  #Define  : 0
% 3.00/1.73  #Split   : 0
% 3.00/1.73  #Chain   : 0
% 3.00/1.73  #Close   : 0
% 3.00/1.73  
% 3.00/1.73  Ordering : KBO
% 3.00/1.73  
% 3.00/1.73  Simplification rules
% 3.00/1.73  ----------------------
% 3.00/1.73  #Subsume      : 0
% 3.00/1.73  #Demod        : 1
% 3.00/1.73  #Tautology    : 11
% 3.00/1.73  #SimpNegUnit  : 0
% 3.00/1.73  #BackRed      : 0
% 3.00/1.73  
% 3.00/1.73  #Partial instantiations: 0
% 3.00/1.73  #Strategies tried      : 1
% 3.00/1.73  
% 3.00/1.73  Timing (in seconds)
% 3.00/1.73  ----------------------
% 3.00/1.73  Preprocessing        : 0.47
% 3.00/1.73  Parsing              : 0.25
% 3.00/1.73  CNF conversion       : 0.03
% 3.00/1.73  Main loop            : 0.23
% 3.00/1.73  Inferencing          : 0.10
% 3.00/1.73  Reduction            : 0.05
% 3.00/1.73  Demodulation         : 0.04
% 3.00/1.73  BG Simplification    : 0.02
% 3.00/1.73  Subsumption          : 0.05
% 3.00/1.73  Abstraction          : 0.01
% 3.00/1.73  MUC search           : 0.00
% 3.00/1.73  Cooper               : 0.00
% 3.00/1.73  Total                : 0.74
% 3.00/1.73  Index Insertion      : 0.00
% 3.00/1.73  Index Deletion       : 0.00
% 3.00/1.73  Index Matching       : 0.00
% 3.00/1.73  BG Taut test         : 0.00
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