TSTP Solution File: MGT049-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT049-1 : 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 : 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 10:49:43 EDT 2023

% Result   : Unsatisfiable 3.34s 1.87s
% Output   : CNFRefutation 3.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   25 (   8 unt;  11 typ;   0 def)
%            Number of atoms       :   22 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  13   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   8   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (;  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > greater_or_equal > greater > organization > position > external_ties > age > #nlpp > sk3 > sk2 > sk1

%Foreground sorts:

%Background operators:

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

tff(sk2,type,
    sk2: $i ).

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

tff(sk1,type,
    sk1: $i ).

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

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

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

tff(sk3,type,
    sk3: $i ).

tff(external_ties,type,
    external_ties: ( $i * $i ) > $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_134,axiom,
    organization(sk1),
    file(unknown,unknown) ).

tff(f_133,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ( external_ties(A,B) = external_ties(A,C) ) ),
    file(unknown,unknown) ).

tff(f_128,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ( external_ties(A,B) != external_ties(A,C) )
      | ( position(A,B) = position(A,C) ) ),
    file(unknown,unknown) ).

tff(f_137,axiom,
    position(sk1,sk3) != position(sk1,sk2),
    file(unknown,unknown) ).

tff(c_30,plain,
    organization(sk1),
    inference(cnfTransformation,[status(thm)],[f_134]) ).

tff(c_74,plain,
    ! [A_51,C_52,B_53] :
      ( ( external_ties(A_51,C_52) = external_ties(A_51,B_53) )
      | ~ organization(A_51) ),
    inference(cnfTransformation,[status(thm)],[f_133]) ).

tff(c_77,plain,
    ! [C_52,B_53] : ( external_ties(sk1,C_52) = external_ties(sk1,B_53) ),
    inference(resolution,[status(thm)],[c_30,c_74]) ).

tff(c_141,plain,
    ! [A_62,C_63,B_64] :
      ( ( position(A_62,C_63) = position(A_62,B_64) )
      | ( external_ties(A_62,C_63) != external_ties(A_62,B_64) )
      | ~ organization(A_62) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_155,plain,
    ! [C_68,B_69] :
      ( ( position(sk1,C_68) = position(sk1,B_69) )
      | ( external_ties(sk1,C_68) != external_ties(sk1,B_69) ) ),
    inference(resolution,[status(thm)],[c_30,c_141]) ).

tff(c_34,plain,
    position(sk1,sk3) != position(sk1,sk2),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_170,plain,
    ! [C_68] :
      ( ( position(sk1,sk2) != position(sk1,C_68) )
      | ( external_ties(sk1,sk3) != external_ties(sk1,C_68) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_155,c_34]) ).

tff(c_188,plain,
    external_ties(sk1,sk3) != external_ties(sk1,sk2),
    inference(reflexivity,[status(thm),theory(equality)],[c_170]) ).

tff(c_203,plain,
    ! [C_52] : ( external_ties(sk1,sk2) != external_ties(sk1,C_52) ),
    inference(superposition,[status(thm),theory(equality)],[c_77,c_188]) ).

tff(c_239,plain,
    $false,
    inference(reflexivity,[status(thm),theory(equality)],[c_203]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : MGT049-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.37  % DateTime : Thu Aug  3 20:57:29 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 3.34/1.87  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.34/1.87  
% 3.34/1.87  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.34/1.90  
% 3.34/1.90  Inference rules
% 3.34/1.90  ----------------------
% 3.34/1.90  #Ref     : 2
% 3.34/1.90  #Sup     : 50
% 3.34/1.90  #Fact    : 2
% 3.34/1.90  #Define  : 0
% 3.34/1.90  #Split   : 0
% 3.34/1.90  #Chain   : 0
% 3.34/1.90  #Close   : 0
% 3.34/1.90  
% 3.34/1.90  Ordering : KBO
% 3.34/1.90  
% 3.34/1.90  Simplification rules
% 3.34/1.90  ----------------------
% 3.34/1.90  #Subsume      : 10
% 3.34/1.90  #Demod        : 4
% 3.34/1.90  #Tautology    : 9
% 3.34/1.90  #SimpNegUnit  : 0
% 3.34/1.90  #BackRed      : 0
% 3.34/1.90  
% 3.34/1.90  #Partial instantiations: 0
% 3.34/1.90  #Strategies tried      : 1
% 3.34/1.90  
% 3.34/1.90  Timing (in seconds)
% 3.34/1.90  ----------------------
% 3.34/1.90  Preprocessing        : 0.49
% 3.34/1.90  Parsing              : 0.24
% 3.34/1.90  CNF conversion       : 0.03
% 3.34/1.90  Main loop            : 0.29
% 3.34/1.90  Inferencing          : 0.11
% 3.34/1.90  Reduction            : 0.08
% 3.34/1.90  Demodulation         : 0.06
% 3.34/1.90  BG Simplification    : 0.02
% 3.34/1.90  Subsumption          : 0.06
% 3.34/1.90  Abstraction          : 0.01
% 3.34/1.90  MUC search           : 0.00
% 3.34/1.90  Cooper               : 0.00
% 3.34/1.90  Total                : 0.82
% 3.34/1.90  Index Insertion      : 0.00
% 3.34/1.90  Index Deletion       : 0.00
% 3.34/1.90  Index Matching       : 0.00
% 3.34/1.90  BG Taut test         : 0.00
%------------------------------------------------------------------------------