TSTP Solution File: MGT018-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT018-1 : 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 : n020.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 10:49:32 EDT 2023

% Result   : Unsatisfiable 3.08s 1.73s
% Output   : CNFRefutation 3.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   66 (  28 unt;  17 typ;   0 def)
%            Number of atoms       :  204 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  308 ( 153   ~; 155   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 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   :  103 (; 103   !;   0   ?;   0   :)

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

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(reorganization_type,type,
    reorganization_type: ( $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_102,axiom,
    class(sk2,sk5,sk8),
    file(unknown,unknown) ).

tff(f_103,axiom,
    class(sk3,sk5,sk8),
    file(unknown,unknown) ).

tff(f_112,axiom,
    ~ greater(sk9,sk10),
    file(unknown,unknown) ).

tff(f_98,axiom,
    organization(sk2,sk8),
    file(unknown,unknown) ).

tff(f_108,axiom,
    size(sk2,sk6,sk8),
    file(unknown,unknown) ).

tff(f_106,axiom,
    reorganization_type(sk2,sk4,sk8),
    file(unknown,unknown) ).

tff(f_104,axiom,
    reorganization(sk2,sk8,sk9),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ~ organization(sk3,sk10),
    file(unknown,unknown) ).

tff(f_105,axiom,
    reorganization(sk3,sk8,sk10),
    file(unknown,unknown) ).

tff(f_107,axiom,
    reorganization_type(sk3,sk4,sk8),
    file(unknown,unknown) ).

tff(f_31,axiom,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,sk1(B,A),B) ),
    file(unknown,unknown) ).

tff(f_99,axiom,
    organization(sk3,sk8),
    file(unknown,unknown) ).

tff(f_109,axiom,
    size(sk3,sk7,sk8),
    file(unknown,unknown) ).

tff(f_110,axiom,
    greater(sk7,sk6),
    file(unknown,unknown) ).

tff(f_60,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_97,axiom,
    ! [H,A,I,F,G,B,C,E,D] :
      ( ~ organization(A,B)
      | ~ organization(C,B)
      | organization(C,D)
      | ~ class(A,E,B)
      | ~ class(C,E,B)
      | ~ reorganization(A,B,F)
      | ~ reorganization(C,B,D)
      | ~ reorganization_type(A,G,B)
      | ~ reorganization_type(C,G,B)
      | ~ inertia(A,H,B)
      | ~ inertia(C,I,B)
      | ~ greater(I,H)
      | greater(F,D) ),
    file(unknown,unknown) ).

tff(c_14,plain,
    class(sk2,sk5,sk8),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_16,plain,
    class(sk3,sk5,sk8),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_32,plain,
    ~ greater(sk9,sk10),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_8,plain,
    organization(sk2,sk8),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_26,plain,
    size(sk2,sk6,sk8),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_22,plain,
    reorganization_type(sk2,sk4,sk8),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_18,plain,
    reorganization(sk2,sk8,sk9),
    inference(cnfTransformation,[status(thm)],[f_104]) ).

tff(c_12,plain,
    ~ organization(sk3,sk10),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_20,plain,
    reorganization(sk3,sk8,sk10),
    inference(cnfTransformation,[status(thm)],[f_105]) ).

tff(c_24,plain,
    reorganization_type(sk3,sk4,sk8),
    inference(cnfTransformation,[status(thm)],[f_107]) ).

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_31]) ).

tff(c_10,plain,
    organization(sk3,sk8),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_28,plain,
    size(sk3,sk7,sk8),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_30,plain,
    greater(sk7,sk6),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_34,plain,
    ! [H_28,G_24,B_25,E_29,C_26,F_23,A_30,D_31,I_27] :
      ( greater(I_27,H_28)
      | ~ greater(G_24,F_23)
      | ~ inertia(C_26,I_27,D_31)
      | ~ inertia(A_30,H_28,B_25)
      | ~ size(C_26,G_24,D_31)
      | ~ size(A_30,F_23,B_25)
      | ~ class(C_26,E_29,D_31)
      | ~ class(A_30,E_29,B_25)
      | ~ organization(C_26,D_31)
      | ~ organization(A_30,B_25) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_42,plain,
    ! [E_47,A_44,H_43,D_46,B_42,C_41,I_45] :
      ( greater(I_45,H_43)
      | ~ inertia(C_41,I_45,D_46)
      | ~ inertia(A_44,H_43,B_42)
      | ~ size(C_41,sk7,D_46)
      | ~ size(A_44,sk6,B_42)
      | ~ class(C_41,E_47,D_46)
      | ~ class(A_44,E_47,B_42)
      | ~ organization(C_41,D_46)
      | ~ organization(A_44,B_42) ),
    inference(resolution,[status(thm)],[c_30,c_34]) ).

tff(c_46,plain,
    ! [A_50,B_49,B_53,E_51,H_48,A_52] :
      ( greater(sk1(B_49,A_52),H_48)
      | ~ inertia(A_50,H_48,B_53)
      | ~ size(A_52,sk7,B_49)
      | ~ size(A_50,sk6,B_53)
      | ~ class(A_52,E_51,B_49)
      | ~ class(A_50,E_51,B_53)
      | ~ organization(A_50,B_53)
      | ~ organization(A_52,B_49) ),
    inference(resolution,[status(thm)],[c_2,c_42]) ).

tff(c_50,plain,
    ! [A_58,B_56,E_54,B_57,A_55] :
      ( greater(sk1(B_56,A_55),sk1(B_57,A_58))
      | ~ size(A_55,sk7,B_56)
      | ~ size(A_58,sk6,B_57)
      | ~ class(A_55,E_54,B_56)
      | ~ class(A_58,E_54,B_57)
      | ~ organization(A_55,B_56)
      | ~ organization(A_58,B_57) ),
    inference(resolution,[status(thm)],[c_2,c_46]) ).

tff(c_54,plain,
    ! [B_57,A_58] :
      ( greater(sk1(sk8,sk3),sk1(B_57,A_58))
      | ~ size(sk3,sk7,sk8)
      | ~ size(A_58,sk6,B_57)
      | ~ class(A_58,sk5,B_57)
      | ~ organization(sk3,sk8)
      | ~ organization(A_58,B_57) ),
    inference(resolution,[status(thm)],[c_16,c_50]) ).

tff(c_72,plain,
    ! [B_66,A_67] :
      ( greater(sk1(sk8,sk3),sk1(B_66,A_67))
      | ~ size(A_67,sk6,B_66)
      | ~ class(A_67,sk5,B_66)
      | ~ organization(A_67,B_66) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_28,c_54]) ).

tff(c_6,plain,
    ! [H_12,C_18,I_14,B_17,E_19,G_16,A_13,F_15,D_20] :
      ( greater(F_15,D_20)
      | ~ greater(I_14,H_12)
      | ~ inertia(C_18,I_14,B_17)
      | ~ inertia(A_13,H_12,B_17)
      | ~ reorganization_type(C_18,G_16,B_17)
      | ~ reorganization_type(A_13,G_16,B_17)
      | ~ reorganization(C_18,B_17,D_20)
      | ~ reorganization(A_13,B_17,F_15)
      | ~ class(C_18,E_19,B_17)
      | ~ class(A_13,E_19,B_17)
      | organization(C_18,D_20)
      | ~ organization(C_18,B_17)
      | ~ organization(A_13,B_17) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_91,plain,
    ! [C_99,B_98,A_96,G_92,D_95,B_94,F_100,E_97,A_93] :
      ( greater(F_100,D_95)
      | ~ inertia(C_99,sk1(sk8,sk3),B_94)
      | ~ inertia(A_96,sk1(B_98,A_93),B_94)
      | ~ reorganization_type(C_99,G_92,B_94)
      | ~ reorganization_type(A_96,G_92,B_94)
      | ~ reorganization(C_99,B_94,D_95)
      | ~ reorganization(A_96,B_94,F_100)
      | ~ class(C_99,E_97,B_94)
      | ~ class(A_96,E_97,B_94)
      | organization(C_99,D_95)
      | ~ organization(C_99,B_94)
      | ~ organization(A_96,B_94)
      | ~ size(A_93,sk6,B_98)
      | ~ class(A_93,sk5,B_98)
      | ~ organization(A_93,B_98) ),
    inference(resolution,[status(thm)],[c_72,c_6]) ).

tff(c_94,plain,
    ! [B_98,A_96,G_92,D_95,F_100,E_97,A_93] :
      ( greater(F_100,D_95)
      | ~ inertia(A_96,sk1(B_98,A_93),sk8)
      | ~ reorganization_type(sk3,G_92,sk8)
      | ~ reorganization_type(A_96,G_92,sk8)
      | ~ reorganization(sk3,sk8,D_95)
      | ~ reorganization(A_96,sk8,F_100)
      | ~ class(sk3,E_97,sk8)
      | ~ class(A_96,E_97,sk8)
      | organization(sk3,D_95)
      | ~ organization(A_96,sk8)
      | ~ size(A_93,sk6,B_98)
      | ~ class(A_93,sk5,B_98)
      | ~ organization(A_93,B_98)
      | ~ organization(sk3,sk8) ),
    inference(resolution,[status(thm)],[c_2,c_91]) ).

tff(c_98,plain,
    ! [G_103,A_102,D_104,A_105,F_101,E_107,B_106] :
      ( greater(F_101,D_104)
      | ~ inertia(A_102,sk1(B_106,A_105),sk8)
      | ~ reorganization_type(sk3,G_103,sk8)
      | ~ reorganization_type(A_102,G_103,sk8)
      | ~ reorganization(sk3,sk8,D_104)
      | ~ reorganization(A_102,sk8,F_101)
      | ~ class(sk3,E_107,sk8)
      | ~ class(A_102,E_107,sk8)
      | organization(sk3,D_104)
      | ~ organization(A_102,sk8)
      | ~ size(A_105,sk6,B_106)
      | ~ class(A_105,sk5,B_106)
      | ~ organization(A_105,B_106) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_94]) ).

tff(c_103,plain,
    ! [E_108,A_112,F_109,D_110,G_111] :
      ( greater(F_109,D_110)
      | ~ reorganization_type(sk3,G_111,sk8)
      | ~ reorganization_type(A_112,G_111,sk8)
      | ~ reorganization(sk3,sk8,D_110)
      | ~ reorganization(A_112,sk8,F_109)
      | ~ class(sk3,E_108,sk8)
      | ~ class(A_112,E_108,sk8)
      | organization(sk3,D_110)
      | ~ size(A_112,sk6,sk8)
      | ~ class(A_112,sk5,sk8)
      | ~ organization(A_112,sk8) ),
    inference(resolution,[status(thm)],[c_2,c_98]) ).

tff(c_107,plain,
    ! [F_113,D_114,A_115,E_116] :
      ( greater(F_113,D_114)
      | ~ reorganization_type(A_115,sk4,sk8)
      | ~ reorganization(sk3,sk8,D_114)
      | ~ reorganization(A_115,sk8,F_113)
      | ~ class(sk3,E_116,sk8)
      | ~ class(A_115,E_116,sk8)
      | organization(sk3,D_114)
      | ~ size(A_115,sk6,sk8)
      | ~ class(A_115,sk5,sk8)
      | ~ organization(A_115,sk8) ),
    inference(resolution,[status(thm)],[c_24,c_103]) ).

tff(c_109,plain,
    ! [F_113,A_115,E_116] :
      ( greater(F_113,sk10)
      | ~ reorganization_type(A_115,sk4,sk8)
      | ~ reorganization(A_115,sk8,F_113)
      | ~ class(sk3,E_116,sk8)
      | ~ class(A_115,E_116,sk8)
      | organization(sk3,sk10)
      | ~ size(A_115,sk6,sk8)
      | ~ class(A_115,sk5,sk8)
      | ~ organization(A_115,sk8) ),
    inference(resolution,[status(thm)],[c_20,c_107]) ).

tff(c_113,plain,
    ! [F_117,A_118,E_119] :
      ( greater(F_117,sk10)
      | ~ reorganization_type(A_118,sk4,sk8)
      | ~ reorganization(A_118,sk8,F_117)
      | ~ class(sk3,E_119,sk8)
      | ~ class(A_118,E_119,sk8)
      | ~ size(A_118,sk6,sk8)
      | ~ class(A_118,sk5,sk8)
      | ~ organization(A_118,sk8) ),
    inference(negUnitSimplification,[status(thm)],[c_12,c_109]) ).

tff(c_117,plain,
    ! [E_119] :
      ( greater(sk9,sk10)
      | ~ reorganization_type(sk2,sk4,sk8)
      | ~ class(sk3,E_119,sk8)
      | ~ class(sk2,E_119,sk8)
      | ~ size(sk2,sk6,sk8)
      | ~ class(sk2,sk5,sk8)
      | ~ organization(sk2,sk8) ),
    inference(resolution,[status(thm)],[c_18,c_113]) ).

tff(c_123,plain,
    ! [E_119] :
      ( greater(sk9,sk10)
      | ~ class(sk3,E_119,sk8)
      | ~ class(sk2,E_119,sk8) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_14,c_26,c_22,c_117]) ).

tff(c_125,plain,
    ! [E_120] :
      ( ~ class(sk3,E_120,sk8)
      | ~ class(sk2,E_120,sk8) ),
    inference(negUnitSimplification,[status(thm)],[c_32,c_123]) ).

tff(c_128,plain,
    ~ class(sk2,sk5,sk8),
    inference(resolution,[status(thm)],[c_16,c_125]) ).

tff(c_132,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : MGT018-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 20:29:22 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 3.08/1.73  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/1.74  
% 3.08/1.74  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.08/1.78  
% 3.08/1.78  Inference rules
% 3.08/1.78  ----------------------
% 3.08/1.78  #Ref     : 0
% 3.08/1.78  #Sup     : 19
% 3.08/1.78  #Fact    : 0
% 3.08/1.78  #Define  : 0
% 3.08/1.78  #Split   : 3
% 3.08/1.78  #Chain   : 0
% 3.08/1.78  #Close   : 0
% 3.08/1.78  
% 3.08/1.78  Ordering : KBO
% 3.08/1.78  
% 3.08/1.78  Simplification rules
% 3.08/1.78  ----------------------
% 3.08/1.78  #Subsume      : 0
% 3.08/1.78  #Demod        : 14
% 3.08/1.78  #Tautology    : 0
% 3.08/1.78  #SimpNegUnit  : 2
% 3.08/1.78  #BackRed      : 0
% 3.08/1.78  
% 3.08/1.78  #Partial instantiations: 0
% 3.08/1.78  #Strategies tried      : 1
% 3.08/1.78  
% 3.08/1.78  Timing (in seconds)
% 3.08/1.78  ----------------------
% 3.08/1.78  Preprocessing        : 0.41
% 3.08/1.78  Parsing              : 0.24
% 3.08/1.78  CNF conversion       : 0.02
% 3.08/1.78  Main loop            : 0.32
% 3.08/1.78  Inferencing          : 0.15
% 3.08/1.78  Reduction            : 0.08
% 3.08/1.78  Demodulation         : 0.05
% 3.08/1.78  BG Simplification    : 0.02
% 3.08/1.78  Subsumption          : 0.06
% 3.08/1.78  Abstraction          : 0.01
% 3.08/1.78  MUC search           : 0.00
% 3.08/1.78  Cooper               : 0.00
% 3.08/1.78  Total                : 0.79
% 3.08/1.78  Index Insertion      : 0.00
% 3.08/1.78  Index Deletion       : 0.00
% 3.08/1.78  Index Matching       : 0.00
% 3.08/1.78  BG Taut test         : 0.00
%------------------------------------------------------------------------------