TSTP Solution File: MGT009+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT009+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 : n029.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 10:49:30 EDT 2023

% Result   : Theorem 3.43s 1.85s
% Output   : CNFRefutation 3.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   49 (  14 unt;  17 typ;   0 def)
%            Number of atoms       :  154 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  216 (  94   ~;  92   |;  25   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (   8   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   97 (;  96   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ size > reproducibility > reorganization_free > inertia > class > organization > greater > #nlpp > #skF_7 > #skF_10 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_9 > #skF_8 > #skF_4 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

tff('#skF_7',type,
    '#skF_7': $i ).

tff('#skF_10',type,
    '#skF_10': $i ).

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

tff('#skF_5',type,
    '#skF_5': $i ).

tff('#skF_6',type,
    '#skF_6': $i ).

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

tff('#skF_3',type,
    '#skF_3': $i ).

tff('#skF_9',type,
    '#skF_9': $i ).

tff('#skF_8',type,
    '#skF_8': $i ).

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

tff('#skF_4',type,
    '#skF_4': $i ).

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

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

tff(f_101,negated_conjecture,
    ~ ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
        ( ( organization(X,T1)
          & organization(Y,T2)
          & reorganization_free(X,T1,T1)
          & reorganization_free(Y,T2,T2)
          & class(X,C,T1)
          & class(Y,C,T2)
          & reproducibility(X,Rp1,T1)
          & reproducibility(Y,Rp2,T2)
          & size(X,S1,T1)
          & size(Y,S2,T2)
          & greater(S2,S1) )
       => greater(Rp2,Rp1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL) ).

tff(f_32,axiom,
    ! [X,T] :
      ( organization(X,T)
     => ? [I] : inertia(X,I,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).

tff(f_76,hypothesis,
    ! [X,Y,C,S1,S2,I1,I2,T1,T2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & class(X,C,T1)
        & class(Y,C,T2)
        & size(X,S1,T1)
        & size(Y,S2,T2)
        & inertia(X,I1,T1)
        & inertia(Y,I2,T2)
        & greater(S2,S1) )
     => greater(I2,I1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL) ).

tff(f_54,hypothesis,
    ! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2)
        & inertia(X,I1,T1)
        & inertia(Y,I2,T2) )
     => ( greater(Rp2,Rp1)
      <=> greater(I2,I1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL) ).

tff(c_10,plain,
    ~ greater('#skF_6','#skF_5'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_32,plain,
    organization('#skF_2','#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_24,plain,
    class('#skF_2','#skF_4','#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_16,plain,
    size('#skF_2','#skF_7','#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_28,plain,
    reorganization_free('#skF_2','#skF_9','#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_20,plain,
    reproducibility('#skF_2','#skF_5','#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_18,plain,
    reproducibility('#skF_3','#skF_6','#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_2,plain,
    ! [X_1,T_2] :
      ( inertia(X_1,'#skF_1'(X_1,T_2),T_2)
      | ~ organization(X_1,T_2) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_30,plain,
    organization('#skF_3','#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_26,plain,
    reorganization_free('#skF_3','#skF_10','#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_14,plain,
    size('#skF_3','#skF_8','#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_22,plain,
    class('#skF_3','#skF_4','#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_12,plain,
    greater('#skF_8','#skF_7'),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_49,plain,
    ! [X_40,S2_39,S1_42,T2_37,C_44,T1_45,I1_43,I2_38,Y_41] :
      ( greater(I2_38,I1_43)
      | ~ greater(S2_39,S1_42)
      | ~ inertia(Y_41,I2_38,T2_37)
      | ~ inertia(X_40,I1_43,T1_45)
      | ~ size(Y_41,S2_39,T2_37)
      | ~ size(X_40,S1_42,T1_45)
      | ~ class(Y_41,C_44,T2_37)
      | ~ class(X_40,C_44,T1_45)
      | ~ organization(Y_41,T2_37)
      | ~ organization(X_40,T1_45) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_55,plain,
    ! [T2_50,X_47,T1_49,C_52,I1_46,Y_51,I2_48] :
      ( greater(I2_48,I1_46)
      | ~ inertia(Y_51,I2_48,T2_50)
      | ~ inertia(X_47,I1_46,T1_49)
      | ~ size(Y_51,'#skF_8',T2_50)
      | ~ size(X_47,'#skF_7',T1_49)
      | ~ class(Y_51,C_52,T2_50)
      | ~ class(X_47,C_52,T1_49)
      | ~ organization(Y_51,T2_50)
      | ~ organization(X_47,T1_49) ),
    inference(resolution,[status(thm)],[c_12,c_49]) ).

tff(c_59,plain,
    ! [T1_55,T_53,X_54,C_58,X_56,I1_57] :
      ( greater('#skF_1'(X_56,T_53),I1_57)
      | ~ inertia(X_54,I1_57,T1_55)
      | ~ size(X_56,'#skF_8',T_53)
      | ~ size(X_54,'#skF_7',T1_55)
      | ~ class(X_56,C_58,T_53)
      | ~ class(X_54,C_58,T1_55)
      | ~ organization(X_54,T1_55)
      | ~ organization(X_56,T_53) ),
    inference(resolution,[status(thm)],[c_2,c_55]) ).

tff(c_63,plain,
    ! [X_61,C_60,T_59,T_62,X_63] :
      ( greater('#skF_1'(X_63,T_62),'#skF_1'(X_61,T_59))
      | ~ size(X_63,'#skF_8',T_62)
      | ~ size(X_61,'#skF_7',T_59)
      | ~ class(X_63,C_60,T_62)
      | ~ class(X_61,C_60,T_59)
      | ~ organization(X_63,T_62)
      | ~ organization(X_61,T_59) ),
    inference(resolution,[status(thm)],[c_2,c_59]) ).

tff(c_65,plain,
    ! [X_61,T_59] :
      ( greater('#skF_1'('#skF_3','#skF_10'),'#skF_1'(X_61,T_59))
      | ~ size('#skF_3','#skF_8','#skF_10')
      | ~ size(X_61,'#skF_7',T_59)
      | ~ class(X_61,'#skF_4',T_59)
      | ~ organization('#skF_3','#skF_10')
      | ~ organization(X_61,T_59) ),
    inference(resolution,[status(thm)],[c_22,c_63]) ).

tff(c_74,plain,
    ! [X_64,T_65] :
      ( greater('#skF_1'('#skF_3','#skF_10'),'#skF_1'(X_64,T_65))
      | ~ size(X_64,'#skF_7',T_65)
      | ~ class(X_64,'#skF_4',T_65)
      | ~ organization(X_64,T_65) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_14,c_65]) ).

tff(c_4,plain,
    ! [Rp2_9,T1_6,Rp1_8,X_4,I1_10,Y_5,T2_7,I2_11] :
      ( greater(Rp2_9,Rp1_8)
      | ~ greater(I2_11,I1_10)
      | ~ inertia(Y_5,I2_11,T2_7)
      | ~ inertia(X_4,I1_10,T1_6)
      | ~ reproducibility(Y_5,Rp2_9,T2_7)
      | ~ reproducibility(X_4,Rp1_8,T1_6)
      | ~ reorganization_free(Y_5,T2_7,T2_7)
      | ~ reorganization_free(X_4,T1_6,T1_6)
      | ~ organization(Y_5,T2_7)
      | ~ organization(X_4,T1_6) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_127,plain,
    ! [Rp1_135,Y_131,X_133,T2_129,Rp2_132,T_128,T1_130,X_134] :
      ( greater(Rp2_132,Rp1_135)
      | ~ inertia(Y_131,'#skF_1'('#skF_3','#skF_10'),T2_129)
      | ~ inertia(X_134,'#skF_1'(X_133,T_128),T1_130)
      | ~ reproducibility(Y_131,Rp2_132,T2_129)
      | ~ reproducibility(X_134,Rp1_135,T1_130)
      | ~ reorganization_free(Y_131,T2_129,T2_129)
      | ~ reorganization_free(X_134,T1_130,T1_130)
      | ~ organization(Y_131,T2_129)
      | ~ organization(X_134,T1_130)
      | ~ size(X_133,'#skF_7',T_128)
      | ~ class(X_133,'#skF_4',T_128)
      | ~ organization(X_133,T_128) ),
    inference(resolution,[status(thm)],[c_74,c_4]) ).

tff(c_130,plain,
    ! [Rp1_135,X_133,Rp2_132,T_128,T1_130,X_134] :
      ( greater(Rp2_132,Rp1_135)
      | ~ inertia(X_134,'#skF_1'(X_133,T_128),T1_130)
      | ~ reproducibility('#skF_3',Rp2_132,'#skF_10')
      | ~ reproducibility(X_134,Rp1_135,T1_130)
      | ~ reorganization_free('#skF_3','#skF_10','#skF_10')
      | ~ reorganization_free(X_134,T1_130,T1_130)
      | ~ organization(X_134,T1_130)
      | ~ size(X_133,'#skF_7',T_128)
      | ~ class(X_133,'#skF_4',T_128)
      | ~ organization(X_133,T_128)
      | ~ organization('#skF_3','#skF_10') ),
    inference(resolution,[status(thm)],[c_2,c_127]) ).

tff(c_134,plain,
    ! [T_137,X_136,Rp1_140,T1_141,Rp2_138,X_139] :
      ( greater(Rp2_138,Rp1_140)
      | ~ inertia(X_139,'#skF_1'(X_136,T_137),T1_141)
      | ~ reproducibility('#skF_3',Rp2_138,'#skF_10')
      | ~ reproducibility(X_139,Rp1_140,T1_141)
      | ~ reorganization_free(X_139,T1_141,T1_141)
      | ~ organization(X_139,T1_141)
      | ~ size(X_136,'#skF_7',T_137)
      | ~ class(X_136,'#skF_4',T_137)
      | ~ organization(X_136,T_137) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_26,c_130]) ).

tff(c_138,plain,
    ! [Rp2_142,Rp1_143,X_144,T_145] :
      ( greater(Rp2_142,Rp1_143)
      | ~ reproducibility('#skF_3',Rp2_142,'#skF_10')
      | ~ reproducibility(X_144,Rp1_143,T_145)
      | ~ reorganization_free(X_144,T_145,T_145)
      | ~ size(X_144,'#skF_7',T_145)
      | ~ class(X_144,'#skF_4',T_145)
      | ~ organization(X_144,T_145) ),
    inference(resolution,[status(thm)],[c_2,c_134]) ).

tff(c_142,plain,
    ! [Rp1_146,X_147,T_148] :
      ( greater('#skF_6',Rp1_146)
      | ~ reproducibility(X_147,Rp1_146,T_148)
      | ~ reorganization_free(X_147,T_148,T_148)
      | ~ size(X_147,'#skF_7',T_148)
      | ~ class(X_147,'#skF_4',T_148)
      | ~ organization(X_147,T_148) ),
    inference(resolution,[status(thm)],[c_18,c_138]) ).

tff(c_144,plain,
    ( greater('#skF_6','#skF_5')
    | ~ reorganization_free('#skF_2','#skF_9','#skF_9')
    | ~ size('#skF_2','#skF_7','#skF_9')
    | ~ class('#skF_2','#skF_4','#skF_9')
    | ~ organization('#skF_2','#skF_9') ),
    inference(resolution,[status(thm)],[c_20,c_142]) ).

tff(c_149,plain,
    greater('#skF_6','#skF_5'),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_24,c_16,c_28,c_144]) ).

tff(c_151,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT009+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
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 20:48:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 3.43/1.85  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.43/1.86  
% 3.43/1.86  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.80/1.90  
% 3.80/1.90  Inference rules
% 3.80/1.90  ----------------------
% 3.80/1.90  #Ref     : 0
% 3.80/1.90  #Sup     : 25
% 3.80/1.90  #Fact    : 0
% 3.80/1.90  #Define  : 0
% 3.80/1.90  #Split   : 5
% 3.80/1.90  #Chain   : 0
% 3.80/1.90  #Close   : 0
% 3.80/1.90  
% 3.80/1.90  Ordering : KBO
% 3.80/1.90  
% 3.80/1.90  Simplification rules
% 3.80/1.90  ----------------------
% 3.80/1.90  #Subsume      : 0
% 3.80/1.90  #Demod        : 15
% 3.80/1.90  #Tautology    : 0
% 3.80/1.90  #SimpNegUnit  : 1
% 3.80/1.90  #BackRed      : 0
% 3.80/1.90  
% 3.80/1.90  #Partial instantiations: 0
% 3.80/1.90  #Strategies tried      : 1
% 3.80/1.90  
% 3.80/1.90  Timing (in seconds)
% 3.80/1.90  ----------------------
% 3.80/1.90  Preprocessing        : 0.46
% 3.80/1.90  Parsing              : 0.26
% 3.80/1.90  CNF conversion       : 0.03
% 3.80/1.90  Main loop            : 0.36
% 3.80/1.90  Inferencing          : 0.16
% 3.80/1.90  Reduction            : 0.09
% 3.80/1.90  Demodulation         : 0.06
% 3.80/1.90  BG Simplification    : 0.02
% 3.80/1.90  Subsumption          : 0.09
% 3.80/1.90  Abstraction          : 0.01
% 3.80/1.90  MUC search           : 0.00
% 3.80/1.90  Cooper               : 0.00
% 3.80/1.90  Total                : 0.88
% 3.80/1.90  Index Insertion      : 0.00
% 3.80/1.90  Index Deletion       : 0.00
% 3.80/1.90  Index Matching       : 0.00
% 3.80/1.90  BG Taut test         : 0.00
%------------------------------------------------------------------------------