TSTP Solution File: MGT006-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT006-1 : 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 : 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 10:49:29 EDT 2023

% Result   : Unsatisfiable 4.70s 2.16s
% Output   : CNFRefutation 4.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   69 (  24 unt;  14 typ;   0 def)
%            Number of atoms       :  235 (   0 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  366 ( 186   ~; 180   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (   7   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  155 (; 155   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ reproducibility > reorganization_free > reliability > accountability > organization > greater > sk1 > #nlpp > sk8 > sk7 > sk6 > sk5 > sk4 > sk3 > sk2

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_153,axiom,
    ( ~ greater(sk4,sk3)
    | ~ greater(sk6,sk5) ),
    file(unknown,unknown) ).

tff(f_144,axiom,
    reliability(sk2,sk3,sk7),
    file(unknown,unknown) ).

tff(f_145,axiom,
    reliability(sk2,sk4,sk8),
    file(unknown,unknown) ).

tff(f_141,axiom,
    organization(sk2,sk7),
    file(unknown,unknown) ).

tff(f_143,axiom,
    reorganization_free(sk2,sk7,sk8),
    file(unknown,unknown) ).

tff(f_148,axiom,
    greater(sk8,sk7),
    file(unknown,unknown) ).

tff(f_146,axiom,
    accountability(sk2,sk5,sk7),
    file(unknown,unknown) ).

tff(f_142,axiom,
    organization(sk2,sk8),
    file(unknown,unknown) ).

tff(f_147,axiom,
    accountability(sk2,sk6,sk8),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [A,B] :
      ( ~ organization(A,B)
      | reproducibility(A,sk1(B,A),B) ),
    file(unknown,unknown) ).

tff(f_140,axiom,
    ! [A,B,C,E,D] :
      ( ~ organization(A,B)
      | ~ organization(A,C)
      | ~ reorganization_free(A,B,C)
      | ~ reproducibility(A,D,B)
      | ~ reproducibility(A,E,C)
      | ~ greater(C,B)
      | greater(E,D) ),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ! [H,A,J,I,F,G,B,C,E,D] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ reliability(A,E,B)
      | ~ reliability(C,F,D)
      | ~ accountability(A,G,B)
      | ~ accountability(C,H,D)
      | ~ reproducibility(A,I,B)
      | ~ reproducibility(C,J,D)
      | ~ greater(J,I)
      | greater(F,E) ),
    file(unknown,unknown) ).

tff(f_88,axiom,
    ! [H,A,J,I,F,G,B,C,E,D] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ reliability(A,E,B)
      | ~ reliability(C,F,D)
      | ~ accountability(A,G,B)
      | ~ accountability(C,H,D)
      | ~ reproducibility(A,I,B)
      | ~ reproducibility(C,J,D)
      | ~ greater(J,I)
      | greater(H,G) ),
    file(unknown,unknown) ).

tff(c_28,plain,
    ( ~ greater(sk6,sk5)
    | ~ greater(sk4,sk3) ),
    inference(cnfTransformation,[status(thm)],[f_153]) ).

tff(c_29,plain,
    ~ greater(sk4,sk3),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_18,plain,
    reliability(sk2,sk3,sk7),
    inference(cnfTransformation,[status(thm)],[f_144]) ).

tff(c_20,plain,
    reliability(sk2,sk4,sk8),
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_12,plain,
    organization(sk2,sk7),
    inference(cnfTransformation,[status(thm)],[f_141]) ).

tff(c_16,plain,
    reorganization_free(sk2,sk7,sk8),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_26,plain,
    greater(sk8,sk7),
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_22,plain,
    accountability(sk2,sk5,sk7),
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_14,plain,
    organization(sk2,sk8),
    inference(cnfTransformation,[status(thm)],[f_142]) ).

tff(c_24,plain,
    accountability(sk2,sk6,sk8),
    inference(cnfTransformation,[status(thm)],[f_147]) ).

tff(c_2,plain,
    ! [A_1,B_2] :
      ( reproducibility(A_1,sk1(B_2,A_1),B_2)
      | ~ organization(A_1,B_2) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_31,plain,
    ! [C_43,E_41,D_42,A_40,B_44] :
      ( greater(E_41,D_42)
      | ~ greater(C_43,B_44)
      | ~ reproducibility(A_40,E_41,C_43)
      | ~ reproducibility(A_40,D_42,B_44)
      | ~ reorganization_free(A_40,B_44,C_43)
      | ~ organization(A_40,C_43)
      | ~ organization(A_40,B_44) ),
    inference(cnfTransformation,[status(thm)],[f_140]) ).

tff(c_35,plain,
    ! [B_45,A_46,D_47,B_48] :
      ( greater(sk1(B_45,A_46),D_47)
      | ~ greater(B_45,B_48)
      | ~ reproducibility(A_46,D_47,B_48)
      | ~ reorganization_free(A_46,B_48,B_45)
      | ~ organization(A_46,B_48)
      | ~ organization(A_46,B_45) ),
    inference(resolution,[status(thm)],[c_2,c_31]) ).

tff(c_38,plain,
    ! [B_45,A_1,B_2] :
      ( greater(sk1(B_45,A_1),sk1(B_2,A_1))
      | ~ greater(B_45,B_2)
      | ~ reorganization_free(A_1,B_2,B_45)
      | ~ organization(A_1,B_45)
      | ~ organization(A_1,B_2) ),
    inference(resolution,[status(thm)],[c_2,c_35]) ).

tff(c_47,plain,
    ! [D_66,B_67,G_64,A_70,J_63,I_71,E_68,C_69,H_65,F_62] :
      ( greater(F_62,E_68)
      | ~ greater(J_63,I_71)
      | ~ reproducibility(C_69,J_63,D_66)
      | ~ reproducibility(A_70,I_71,B_67)
      | ~ accountability(C_69,H_65,D_66)
      | ~ accountability(A_70,G_64,B_67)
      | ~ reliability(C_69,F_62,D_66)
      | ~ reliability(A_70,E_68,B_67)
      | ~ organization(C_69,D_66)
      | ~ organization(A_70,B_67) ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_150,plain,
    ! [B_180,B_183,H_175,E_184,B_178,A_176,C_181,A_182,F_177,G_179,D_185] :
      ( greater(F_177,E_184)
      | ~ reproducibility(C_181,sk1(B_178,A_182),D_185)
      | ~ reproducibility(A_176,sk1(B_180,A_182),B_183)
      | ~ accountability(C_181,H_175,D_185)
      | ~ accountability(A_176,G_179,B_183)
      | ~ reliability(C_181,F_177,D_185)
      | ~ reliability(A_176,E_184,B_183)
      | ~ organization(C_181,D_185)
      | ~ organization(A_176,B_183)
      | ~ greater(B_178,B_180)
      | ~ reorganization_free(A_182,B_180,B_178)
      | ~ organization(A_182,B_178)
      | ~ organization(A_182,B_180) ),
    inference(resolution,[status(thm)],[c_38,c_47]) ).

tff(c_236,plain,
    ! [E_266,H_258,B_259,B_262,F_265,A_261,A_264,G_260,B_263] :
      ( greater(F_265,E_266)
      | ~ reproducibility(A_261,sk1(B_259,A_264),B_262)
      | ~ accountability(A_264,H_258,B_263)
      | ~ accountability(A_261,G_260,B_262)
      | ~ reliability(A_264,F_265,B_263)
      | ~ reliability(A_261,E_266,B_262)
      | ~ organization(A_261,B_262)
      | ~ greater(B_263,B_259)
      | ~ reorganization_free(A_264,B_259,B_263)
      | ~ organization(A_264,B_259)
      | ~ organization(A_264,B_263) ),
    inference(resolution,[status(thm)],[c_2,c_150]) ).

tff(c_259,plain,
    ! [B_274,G_277,F_273,B_275,E_271,A_276,H_272] :
      ( greater(F_273,E_271)
      | ~ accountability(A_276,H_272,B_274)
      | ~ accountability(A_276,G_277,B_275)
      | ~ reliability(A_276,F_273,B_274)
      | ~ reliability(A_276,E_271,B_275)
      | ~ greater(B_274,B_275)
      | ~ reorganization_free(A_276,B_275,B_274)
      | ~ organization(A_276,B_274)
      | ~ organization(A_276,B_275) ),
    inference(resolution,[status(thm)],[c_2,c_236]) ).

tff(c_261,plain,
    ! [F_273,E_271,G_277,B_275] :
      ( greater(F_273,E_271)
      | ~ accountability(sk2,G_277,B_275)
      | ~ reliability(sk2,F_273,sk8)
      | ~ reliability(sk2,E_271,B_275)
      | ~ greater(sk8,B_275)
      | ~ reorganization_free(sk2,B_275,sk8)
      | ~ organization(sk2,sk8)
      | ~ organization(sk2,B_275) ),
    inference(resolution,[status(thm)],[c_24,c_259]) ).

tff(c_270,plain,
    ! [F_278,E_279,G_280,B_281] :
      ( greater(F_278,E_279)
      | ~ accountability(sk2,G_280,B_281)
      | ~ reliability(sk2,F_278,sk8)
      | ~ reliability(sk2,E_279,B_281)
      | ~ greater(sk8,B_281)
      | ~ reorganization_free(sk2,B_281,sk8)
      | ~ organization(sk2,B_281) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_261]) ).

tff(c_274,plain,
    ! [F_278,E_279] :
      ( greater(F_278,E_279)
      | ~ reliability(sk2,F_278,sk8)
      | ~ reliability(sk2,E_279,sk7)
      | ~ greater(sk8,sk7)
      | ~ reorganization_free(sk2,sk7,sk8)
      | ~ organization(sk2,sk7) ),
    inference(resolution,[status(thm)],[c_22,c_270]) ).

tff(c_285,plain,
    ! [F_288,E_289] :
      ( greater(F_288,E_289)
      | ~ reliability(sk2,F_288,sk8)
      | ~ reliability(sk2,E_289,sk7) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_16,c_26,c_274]) ).

tff(c_289,plain,
    ! [E_290] :
      ( greater(sk4,E_290)
      | ~ reliability(sk2,E_290,sk7) ),
    inference(resolution,[status(thm)],[c_20,c_285]) ).

tff(c_292,plain,
    greater(sk4,sk3),
    inference(resolution,[status(thm)],[c_18,c_289]) ).

tff(c_296,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_29,c_292]) ).

tff(c_297,plain,
    ~ greater(sk6,sk5),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_300,plain,
    ! [C_296,A_293,D_295,B_297,E_294] :
      ( greater(E_294,D_295)
      | ~ greater(C_296,B_297)
      | ~ reproducibility(A_293,E_294,C_296)
      | ~ reproducibility(A_293,D_295,B_297)
      | ~ reorganization_free(A_293,B_297,C_296)
      | ~ organization(A_293,C_296)
      | ~ organization(A_293,B_297) ),
    inference(cnfTransformation,[status(thm)],[f_140]) ).

tff(c_304,plain,
    ! [B_298,A_299,D_300,B_301] :
      ( greater(sk1(B_298,A_299),D_300)
      | ~ greater(B_298,B_301)
      | ~ reproducibility(A_299,D_300,B_301)
      | ~ reorganization_free(A_299,B_301,B_298)
      | ~ organization(A_299,B_301)
      | ~ organization(A_299,B_298) ),
    inference(resolution,[status(thm)],[c_2,c_300]) ).

tff(c_307,plain,
    ! [B_298,A_1,B_2] :
      ( greater(sk1(B_298,A_1),sk1(B_2,A_1))
      | ~ greater(B_298,B_2)
      | ~ reorganization_free(A_1,B_2,B_298)
      | ~ organization(A_1,B_298)
      | ~ organization(A_1,B_2) ),
    inference(resolution,[status(thm)],[c_2,c_304]) ).

tff(c_309,plain,
    ! [A_312,D_313,G_305,F_311,J_309,H_306,C_308,I_307,B_314,E_310] :
      ( greater(H_306,G_305)
      | ~ greater(J_309,I_307)
      | ~ reproducibility(C_308,J_309,D_313)
      | ~ reproducibility(A_312,I_307,B_314)
      | ~ accountability(C_308,H_306,D_313)
      | ~ accountability(A_312,G_305,B_314)
      | ~ reliability(C_308,F_311,D_313)
      | ~ reliability(A_312,E_310,B_314)
      | ~ organization(C_308,D_313)
      | ~ organization(A_312,B_314) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_459,plain,
    ! [F_445,B_451,E_446,A_444,B_450,H_453,D_443,A_452,G_447,B_448,C_449] :
      ( greater(H_453,G_447)
      | ~ reproducibility(C_449,sk1(B_448,A_452),D_443)
      | ~ reproducibility(A_444,sk1(B_450,A_452),B_451)
      | ~ accountability(C_449,H_453,D_443)
      | ~ accountability(A_444,G_447,B_451)
      | ~ reliability(C_449,F_445,D_443)
      | ~ reliability(A_444,E_446,B_451)
      | ~ organization(C_449,D_443)
      | ~ organization(A_444,B_451)
      | ~ greater(B_448,B_450)
      | ~ reorganization_free(A_452,B_450,B_448)
      | ~ organization(A_452,B_448)
      | ~ organization(A_452,B_450) ),
    inference(resolution,[status(thm)],[c_307,c_309]) ).

tff(c_463,plain,
    ! [E_457,H_458,G_455,F_456,A_461,B_460,A_462,B_459,B_454] :
      ( greater(H_458,G_455)
      | ~ reproducibility(A_462,sk1(B_454,A_461),B_460)
      | ~ accountability(A_461,H_458,B_459)
      | ~ accountability(A_462,G_455,B_460)
      | ~ reliability(A_461,F_456,B_459)
      | ~ reliability(A_462,E_457,B_460)
      | ~ organization(A_462,B_460)
      | ~ greater(B_459,B_454)
      | ~ reorganization_free(A_461,B_454,B_459)
      | ~ organization(A_461,B_454)
      | ~ organization(A_461,B_459) ),
    inference(resolution,[status(thm)],[c_2,c_459]) ).

tff(c_467,plain,
    ! [G_463,E_464,H_467,B_466,B_469,F_465,A_468] :
      ( greater(H_467,G_463)
      | ~ accountability(A_468,H_467,B_469)
      | ~ accountability(A_468,G_463,B_466)
      | ~ reliability(A_468,F_465,B_469)
      | ~ reliability(A_468,E_464,B_466)
      | ~ greater(B_469,B_466)
      | ~ reorganization_free(A_468,B_466,B_469)
      | ~ organization(A_468,B_469)
      | ~ organization(A_468,B_466) ),
    inference(resolution,[status(thm)],[c_2,c_463]) ).

tff(c_469,plain,
    ! [G_463,B_466,F_465,E_464] :
      ( greater(sk6,G_463)
      | ~ accountability(sk2,G_463,B_466)
      | ~ reliability(sk2,F_465,sk8)
      | ~ reliability(sk2,E_464,B_466)
      | ~ greater(sk8,B_466)
      | ~ reorganization_free(sk2,B_466,sk8)
      | ~ organization(sk2,sk8)
      | ~ organization(sk2,B_466) ),
    inference(resolution,[status(thm)],[c_24,c_467]) ).

tff(c_474,plain,
    ! [G_463,B_466,F_465,E_464] :
      ( greater(sk6,G_463)
      | ~ accountability(sk2,G_463,B_466)
      | ~ reliability(sk2,F_465,sk8)
      | ~ reliability(sk2,E_464,B_466)
      | ~ greater(sk8,B_466)
      | ~ reorganization_free(sk2,B_466,sk8)
      | ~ organization(sk2,B_466) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_469]) ).

tff(c_478,plain,
    ! [F_465] : ~ reliability(sk2,F_465,sk8),
    inference(splitLeft,[status(thm)],[c_474]) ).

tff(c_480,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_478,c_20]) ).

tff(c_482,plain,
    ! [G_470,B_471,E_472] :
      ( greater(sk6,G_470)
      | ~ accountability(sk2,G_470,B_471)
      | ~ reliability(sk2,E_472,B_471)
      | ~ greater(sk8,B_471)
      | ~ reorganization_free(sk2,B_471,sk8)
      | ~ organization(sk2,B_471) ),
    inference(splitRight,[status(thm)],[c_474]) ).

tff(c_486,plain,
    ! [E_472] :
      ( greater(sk6,sk5)
      | ~ reliability(sk2,E_472,sk7)
      | ~ greater(sk8,sk7)
      | ~ reorganization_free(sk2,sk7,sk8)
      | ~ organization(sk2,sk7) ),
    inference(resolution,[status(thm)],[c_22,c_482]) ).

tff(c_492,plain,
    ! [E_472] :
      ( greater(sk6,sk5)
      | ~ reliability(sk2,E_472,sk7) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_16,c_26,c_486]) ).

tff(c_493,plain,
    ! [E_472] : ~ reliability(sk2,E_472,sk7),
    inference(negUnitSimplification,[status(thm)],[c_297,c_492]) ).

tff(c_499,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_493,c_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : MGT006-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.34  % 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 20:26:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 4.70/2.16  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.73/2.16  
% 4.73/2.16  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.73/2.20  
% 4.73/2.20  Inference rules
% 4.73/2.20  ----------------------
% 4.73/2.20  #Ref     : 0
% 4.73/2.20  #Sup     : 115
% 4.73/2.20  #Fact    : 0
% 4.73/2.20  #Define  : 0
% 4.73/2.20  #Split   : 8
% 4.73/2.20  #Chain   : 0
% 4.73/2.20  #Close   : 0
% 4.73/2.20  
% 4.73/2.20  Ordering : KBO
% 4.73/2.20  
% 4.73/2.20  Simplification rules
% 4.73/2.20  ----------------------
% 4.73/2.20  #Subsume      : 1
% 4.73/2.20  #Demod        : 20
% 4.73/2.20  #Tautology    : 0
% 4.73/2.20  #SimpNegUnit  : 7
% 4.73/2.20  #BackRed      : 5
% 4.73/2.20  
% 4.73/2.20  #Partial instantiations: 0
% 4.73/2.20  #Strategies tried      : 1
% 4.73/2.20  
% 4.73/2.20  Timing (in seconds)
% 4.73/2.20  ----------------------
% 4.87/2.21  Preprocessing        : 0.47
% 4.87/2.21  Parsing              : 0.27
% 4.87/2.21  CNF conversion       : 0.02
% 4.87/2.21  Main loop            : 0.60
% 4.87/2.21  Inferencing          : 0.24
% 4.87/2.21  Reduction            : 0.13
% 4.87/2.21  Demodulation         : 0.09
% 4.87/2.21  BG Simplification    : 0.03
% 4.87/2.21  Subsumption          : 0.15
% 4.87/2.21  Abstraction          : 0.02
% 4.87/2.21  MUC search           : 0.00
% 4.87/2.21  Cooper               : 0.00
% 4.87/2.21  Total                : 1.13
% 4.87/2.21  Index Insertion      : 0.00
% 4.87/2.21  Index Deletion       : 0.00
% 4.87/2.21  Index Matching       : 0.00
% 4.87/2.21  BG Taut test         : 0.00
%------------------------------------------------------------------------------