TSTP Solution File: MGT045-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT045-1 : 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/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 : n004.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 10:49:42 EDT 2023

% Result   : Unsatisfiable 3.63s 1.95s
% Output   : CNFRefutation 4.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   30 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :   39 (  11 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   47 (  27   ~;  20   |;   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   :   25 (;  25   !;   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_139,axiom,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file(unknown,unknown) ).

tff(f_138,axiom,
    organization(sk1),
    file(unknown,unknown) ).

tff(f_137,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ greater(age(A,B),age(A,C))
      | greater(external_ties(A,B),external_ties(A,C)) ),
    file(unknown,unknown) ).

tff(f_121,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ greater(external_ties(A,B),external_ties(A,C))
      | greater(position(A,B),position(A,C)) ),
    file(unknown,unknown) ).

tff(f_129,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_141,axiom,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    file(unknown,unknown) ).

tff(c_32,plain,
    greater(age(sk1,sk3),age(sk1,sk2)),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_30,plain,
    organization(sk1),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_28,plain,
    ! [A_30,B_31,C_32] :
      ( greater(external_ties(A_30,B_31),external_ties(A_30,C_32))
      | ~ greater(age(A_30,B_31),age(A_30,C_32))
      | ~ organization(A_30) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_24,plain,
    ! [A_24,B_25,C_26] :
      ( greater(position(A_24,B_25),position(A_24,C_26))
      | ~ greater(external_ties(A_24,B_25),external_ties(A_24,C_26))
      | ~ organization(A_24) ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_138,plain,
    ! [A_60,C_61,B_62] :
      ( ( position(A_60,C_61) = position(A_60,B_62) )
      | ( external_ties(A_60,C_61) != external_ties(A_60,B_62) )
      | ~ organization(A_60) ),
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_142,plain,
    ! [C_63,B_64] :
      ( ( position(sk1,C_63) = position(sk1,B_64) )
      | ( external_ties(sk1,C_63) != external_ties(sk1,B_64) ) ),
    inference(resolution,[status(thm)],[c_30,c_138]) ).

tff(c_34,plain,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    inference(cnfTransformation,[status(thm)],[f_141]) ).

tff(c_386,plain,
    ! [C_73] :
      ( ~ greater(position(sk1,C_73),position(sk1,sk2))
      | ( external_ties(sk1,sk3) != external_ties(sk1,C_73) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_142,c_34]) ).

tff(c_390,plain,
    ! [B_25] :
      ( ( external_ties(sk1,sk3) != external_ties(sk1,B_25) )
      | ~ greater(external_ties(sk1,B_25),external_ties(sk1,sk2))
      | ~ organization(sk1) ),
    inference(resolution,[status(thm)],[c_24,c_386]) ).

tff(c_438,plain,
    ! [B_77] :
      ( ( external_ties(sk1,sk3) != external_ties(sk1,B_77) )
      | ~ greater(external_ties(sk1,B_77),external_ties(sk1,sk2)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_390]) ).

tff(c_442,plain,
    ! [B_31] :
      ( ( external_ties(sk1,sk3) != external_ties(sk1,B_31) )
      | ~ greater(age(sk1,B_31),age(sk1,sk2))
      | ~ organization(sk1) ),
    inference(resolution,[status(thm)],[c_28,c_438]) ).

tff(c_804,plain,
    ! [B_87] :
      ( ( external_ties(sk1,sk3) != external_ties(sk1,B_87) )
      | ~ greater(age(sk1,B_87),age(sk1,sk2)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_442]) ).

tff(c_841,plain,
    $false,
    inference(resolution,[status(thm)],[c_32,c_804]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT045-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % 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
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 20:27:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 3.63/1.95  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/1.95  
% 4.02/1.95  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.02/1.98  
% 4.02/1.98  Inference rules
% 4.02/1.98  ----------------------
% 4.02/1.98  #Ref     : 0
% 4.02/1.98  #Sup     : 191
% 4.02/1.98  #Fact    : 8
% 4.02/1.98  #Define  : 0
% 4.02/1.98  #Split   : 1
% 4.02/1.98  #Chain   : 0
% 4.02/1.98  #Close   : 0
% 4.02/1.98  
% 4.02/1.98  Ordering : KBO
% 4.02/1.98  
% 4.02/1.98  Simplification rules
% 4.02/1.98  ----------------------
% 4.02/1.98  #Subsume      : 56
% 4.02/1.98  #Demod        : 33
% 4.02/1.98  #Tautology    : 22
% 4.02/1.98  #SimpNegUnit  : 2
% 4.02/1.98  #BackRed      : 1
% 4.02/1.98  
% 4.02/1.98  #Partial instantiations: 0
% 4.02/1.98  #Strategies tried      : 1
% 4.02/1.98  
% 4.02/1.98  Timing (in seconds)
% 4.02/1.98  ----------------------
% 4.02/1.98  Preprocessing        : 0.47
% 4.02/1.98  Parsing              : 0.23
% 4.02/1.98  CNF conversion       : 0.03
% 4.02/1.98  Main loop            : 0.48
% 4.02/1.98  Inferencing          : 0.18
% 4.02/1.98  Reduction            : 0.11
% 4.02/1.98  Demodulation         : 0.08
% 4.02/1.98  BG Simplification    : 0.03
% 4.02/1.98  Subsumption          : 0.11
% 4.02/1.98  Abstraction          : 0.02
% 4.02/1.98  MUC search           : 0.00
% 4.02/1.98  Cooper               : 0.00
% 4.02/1.98  Total                : 0.99
% 4.02/1.98  Index Insertion      : 0.00
% 4.02/1.98  Index Deletion       : 0.00
% 4.02/1.98  Index Matching       : 0.00
% 4.02/1.98  BG Taut test         : 0.00
%------------------------------------------------------------------------------