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 v2.4.0.
% 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 : n017.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 10:49:29 EDT 2023

% Result   : Unsatisfiable 3.22s 1.80s
% Output   : CNFRefutation 3.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   60 (  26 unt;  17 typ;   0 def)
%            Number of atoms       :  154 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  224 ( 113   ~; 111   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 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   :   87 (;  87   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ size > reproducibility > reorganization_free > inertia > class > organization > greater > sk1 > #nlpp > sk9 > sk8 > sk7 > sk6 > sk5 > sk4 > sk3 > sk2 > sk10

%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(sk9,type,
    sk9: $i ).

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

tff(sk6,type,
    sk6: $i ).

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

tff(sk4,type,
    sk4: $i ).

tff(sk8,type,
    sk8: $i ).

tff(sk5,type,
    sk5: $i ).

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

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

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

tff(sk10,type,
    sk10: $i ).

tff(sk7,type,
    sk7: $i ).

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

tff(f_128,axiom,
    ~ greater(sk6,sk5),
    file(unknown,unknown) ).

tff(f_116,axiom,
    organization(sk2,sk9),
    file(unknown,unknown) ).

tff(f_120,axiom,
    class(sk2,sk4,sk9),
    file(unknown,unknown) ).

tff(f_124,axiom,
    size(sk2,sk7,sk9),
    file(unknown,unknown) ).

tff(f_118,axiom,
    reorganization_free(sk2,sk9,sk9),
    file(unknown,unknown) ).

tff(f_122,axiom,
    reproducibility(sk2,sk5,sk9),
    file(unknown,unknown) ).

tff(f_123,axiom,
    reproducibility(sk3,sk6,sk10),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,sk1(B,A),B) ),
    file(unknown,unknown) ).

tff(f_117,axiom,
    organization(sk3,sk10),
    file(unknown,unknown) ).

tff(f_119,axiom,
    reorganization_free(sk3,sk10,sk10),
    file(unknown,unknown) ).

tff(f_125,axiom,
    size(sk3,sk8,sk10),
    file(unknown,unknown) ).

tff(f_121,axiom,
    class(sk3,sk4,sk10),
    file(unknown,unknown) ).

tff(f_126,axiom,
    greater(sk8,sk7),
    file(unknown,unknown) ).

tff(f_115,axiom,
    ! [H,A,I,F,G,B,C,E,D] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ class(A,E,B)
      | ~ class(C,E,D)
      | ~ size(A,F,B)
      | ~ size(C,G,D)
      | ~ inertia(A,H,B)
      | ~ inertia(C,I,D)
      | ~ greater(G,F)
      | greater(I,H) ),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ! [H,A,F,G,B,C,E,D] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ reorganization_free(A,B,B)
      | ~ reorganization_free(C,D,D)
      | ~ reproducibility(A,E,B)
      | ~ reproducibility(C,F,D)
      | ~ inertia(A,G,B)
      | ~ inertia(C,H,D)
      | ~ greater(H,G)
      | greater(F,E) ),
    file(unknown,unknown) ).

tff(c_32,plain,
    ~ greater(sk6,sk5),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_10,plain,
    organization(sk2,sk9),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_18,plain,
    class(sk2,sk4,sk9),
    inference(cnfTransformation,[status(thm)],[f_120]) ).

tff(c_26,plain,
    size(sk2,sk7,sk9),
    inference(cnfTransformation,[status(thm)],[f_124]) ).

tff(c_14,plain,
    reorganization_free(sk2,sk9,sk9),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_22,plain,
    reproducibility(sk2,sk5,sk9),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_24,plain,
    reproducibility(sk3,sk6,sk10),
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_2,plain,
    ! [A_1,B_2] :
      ( inertia(A_1,sk1(B_2,A_1),B_2)
      | ~ organization(A_1,B_2) ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_12,plain,
    organization(sk3,sk10),
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_16,plain,
    reorganization_free(sk3,sk10,sk10),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_28,plain,
    size(sk3,sk8,sk10),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_20,plain,
    class(sk3,sk4,sk10),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_30,plain,
    greater(sk8,sk7),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_42,plain,
    ! [A_50,G_49,D_52,B_47,E_46,F_48,C_44,I_51,H_45] :
      ( greater(I_51,H_45)
      | ~ greater(G_49,F_48)
      | ~ inertia(C_44,I_51,D_52)
      | ~ inertia(A_50,H_45,B_47)
      | ~ size(C_44,G_49,D_52)
      | ~ size(A_50,F_48,B_47)
      | ~ class(C_44,E_46,D_52)
      | ~ class(A_50,E_46,B_47)
      | ~ organization(C_44,D_52)
      | ~ organization(A_50,B_47) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_67,plain,
    ! [H_74,C_76,B_72,E_70,I_71,D_75,A_73] :
      ( greater(I_71,H_74)
      | ~ inertia(C_76,I_71,D_75)
      | ~ inertia(A_73,H_74,B_72)
      | ~ size(C_76,sk8,D_75)
      | ~ size(A_73,sk7,B_72)
      | ~ class(C_76,E_70,D_75)
      | ~ class(A_73,E_70,B_72)
      | ~ organization(C_76,D_75)
      | ~ organization(A_73,B_72) ),
    inference(resolution,[status(thm)],[c_30,c_42]) ).

tff(c_71,plain,
    ! [H_82,B_77,B_78,E_80,A_81,A_79] :
      ( greater(sk1(B_78,A_79),H_82)
      | ~ inertia(A_81,H_82,B_77)
      | ~ size(A_79,sk8,B_78)
      | ~ size(A_81,sk7,B_77)
      | ~ class(A_79,E_80,B_78)
      | ~ class(A_81,E_80,B_77)
      | ~ organization(A_81,B_77)
      | ~ organization(A_79,B_78) ),
    inference(resolution,[status(thm)],[c_2,c_67]) ).

tff(c_88,plain,
    ! [E_90,B_92,B_89,A_91,A_93] :
      ( greater(sk1(B_89,A_91),sk1(B_92,A_93))
      | ~ size(A_91,sk8,B_89)
      | ~ size(A_93,sk7,B_92)
      | ~ class(A_91,E_90,B_89)
      | ~ class(A_93,E_90,B_92)
      | ~ organization(A_91,B_89)
      | ~ organization(A_93,B_92) ),
    inference(resolution,[status(thm)],[c_2,c_71]) ).

tff(c_90,plain,
    ! [B_92,A_93] :
      ( greater(sk1(sk10,sk3),sk1(B_92,A_93))
      | ~ size(sk3,sk8,sk10)
      | ~ size(A_93,sk7,B_92)
      | ~ class(A_93,sk4,B_92)
      | ~ organization(sk3,sk10)
      | ~ organization(A_93,B_92) ),
    inference(resolution,[status(thm)],[c_20,c_88]) ).

tff(c_99,plain,
    ! [B_94,A_95] :
      ( greater(sk1(sk10,sk3),sk1(B_94,A_95))
      | ~ size(A_95,sk7,B_94)
      | ~ class(A_95,sk4,B_94)
      | ~ organization(A_95,B_94) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_28,c_90]) ).

tff(c_6,plain,
    ! [D_18,E_17,C_16,A_12,F_13,H_11,G_14,B_15] :
      ( greater(F_13,E_17)
      | ~ greater(H_11,G_14)
      | ~ inertia(C_16,H_11,D_18)
      | ~ inertia(A_12,G_14,B_15)
      | ~ reproducibility(C_16,F_13,D_18)
      | ~ reproducibility(A_12,E_17,B_15)
      | ~ reorganization_free(C_16,D_18,D_18)
      | ~ reorganization_free(A_12,B_15,B_15)
      | ~ organization(C_16,D_18)
      | ~ organization(A_12,B_15) ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_110,plain,
    ! [F_96,E_99,C_102,B_103,A_101,A_100,B_97,D_98] :
      ( greater(F_96,E_99)
      | ~ inertia(C_102,sk1(sk10,sk3),D_98)
      | ~ inertia(A_100,sk1(B_97,A_101),B_103)
      | ~ reproducibility(C_102,F_96,D_98)
      | ~ reproducibility(A_100,E_99,B_103)
      | ~ reorganization_free(C_102,D_98,D_98)
      | ~ reorganization_free(A_100,B_103,B_103)
      | ~ organization(C_102,D_98)
      | ~ organization(A_100,B_103)
      | ~ size(A_101,sk7,B_97)
      | ~ class(A_101,sk4,B_97)
      | ~ organization(A_101,B_97) ),
    inference(resolution,[status(thm)],[c_99,c_6]) ).

tff(c_113,plain,
    ! [F_96,E_99,B_103,A_101,A_100,B_97] :
      ( greater(F_96,E_99)
      | ~ inertia(A_100,sk1(B_97,A_101),B_103)
      | ~ reproducibility(sk3,F_96,sk10)
      | ~ reproducibility(A_100,E_99,B_103)
      | ~ reorganization_free(sk3,sk10,sk10)
      | ~ reorganization_free(A_100,B_103,B_103)
      | ~ organization(A_100,B_103)
      | ~ size(A_101,sk7,B_97)
      | ~ class(A_101,sk4,B_97)
      | ~ organization(A_101,B_97)
      | ~ organization(sk3,sk10) ),
    inference(resolution,[status(thm)],[c_2,c_110]) ).

tff(c_121,plain,
    ! [B_115,A_117,F_118,B_116,E_113,A_114] :
      ( greater(F_118,E_113)
      | ~ inertia(A_117,sk1(B_115,A_114),B_116)
      | ~ reproducibility(sk3,F_118,sk10)
      | ~ reproducibility(A_117,E_113,B_116)
      | ~ reorganization_free(A_117,B_116,B_116)
      | ~ organization(A_117,B_116)
      | ~ size(A_114,sk7,B_115)
      | ~ class(A_114,sk4,B_115)
      | ~ organization(A_114,B_115) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_16,c_113]) ).

tff(c_125,plain,
    ! [F_119,E_120,A_121,B_122] :
      ( greater(F_119,E_120)
      | ~ reproducibility(sk3,F_119,sk10)
      | ~ reproducibility(A_121,E_120,B_122)
      | ~ reorganization_free(A_121,B_122,B_122)
      | ~ size(A_121,sk7,B_122)
      | ~ class(A_121,sk4,B_122)
      | ~ organization(A_121,B_122) ),
    inference(resolution,[status(thm)],[c_2,c_121]) ).

tff(c_129,plain,
    ! [E_123,A_124,B_125] :
      ( greater(sk6,E_123)
      | ~ reproducibility(A_124,E_123,B_125)
      | ~ reorganization_free(A_124,B_125,B_125)
      | ~ size(A_124,sk7,B_125)
      | ~ class(A_124,sk4,B_125)
      | ~ organization(A_124,B_125) ),
    inference(resolution,[status(thm)],[c_24,c_125]) ).

tff(c_131,plain,
    ( greater(sk6,sk5)
    | ~ reorganization_free(sk2,sk9,sk9)
    | ~ size(sk2,sk7,sk9)
    | ~ class(sk2,sk4,sk9)
    | ~ organization(sk2,sk9) ),
    inference(resolution,[status(thm)],[c_22,c_129]) ).

tff(c_136,plain,
    greater(sk6,sk5),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_18,c_26,c_14,c_131]) ).

tff(c_138,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_32,c_136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT009-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n017.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 20:01:06 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.22/1.80  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/1.81  
% 3.22/1.81  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.43/1.84  
% 3.43/1.84  Inference rules
% 3.43/1.84  ----------------------
% 3.43/1.84  #Ref     : 0
% 3.43/1.84  #Sup     : 22
% 3.43/1.84  #Fact    : 0
% 3.43/1.84  #Define  : 0
% 3.43/1.84  #Split   : 5
% 3.43/1.84  #Chain   : 0
% 3.43/1.84  #Close   : 0
% 3.43/1.84  
% 3.43/1.84  Ordering : KBO
% 3.43/1.84  
% 3.43/1.84  Simplification rules
% 3.43/1.84  ----------------------
% 3.43/1.84  #Subsume      : 0
% 3.43/1.84  #Demod        : 15
% 3.43/1.84  #Tautology    : 0
% 3.43/1.84  #SimpNegUnit  : 1
% 3.43/1.84  #BackRed      : 0
% 3.43/1.84  
% 3.43/1.84  #Partial instantiations: 0
% 3.43/1.84  #Strategies tried      : 1
% 3.43/1.84  
% 3.43/1.84  Timing (in seconds)
% 3.43/1.84  ----------------------
% 3.43/1.85  Preprocessing        : 0.45
% 3.43/1.85  Parsing              : 0.25
% 3.43/1.85  CNF conversion       : 0.02
% 3.43/1.85  Main loop            : 0.34
% 3.43/1.85  Inferencing          : 0.15
% 3.43/1.85  Reduction            : 0.08
% 3.43/1.85  Demodulation         : 0.06
% 3.43/1.85  BG Simplification    : 0.02
% 3.43/1.85  Subsumption          : 0.08
% 3.43/1.85  Abstraction          : 0.01
% 3.43/1.85  MUC search           : 0.00
% 3.43/1.85  Cooper               : 0.00
% 3.43/1.85  Total                : 0.84
% 3.43/1.85  Index Insertion      : 0.00
% 3.43/1.85  Index Deletion       : 0.00
% 3.43/1.85  Index Matching       : 0.00
% 3.43/1.85  BG Taut test         : 0.00
%------------------------------------------------------------------------------