TSTP Solution File: MGT007+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT007+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 : n012.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   : Theorem 4.48s 2.24s
% Output   : CNFRefutation 4.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   77 (  22 unt;  16 typ;   0 def)
%            Number of atoms       :  289 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  412 ( 184   ~; 196   |;  25   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (   9   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  182 (; 179   !;   3   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ reproducibility > reorganization > reliability > accountability > organization > greater > #nlpp > #skF_7 > #skF_3 > #skF_10 > #skF_5 > #skF_6 > #skF_9 > #skF_8 > #skF_4 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_115,negated_conjecture,
    ~ ! [X,Rp1,Rp2,T1,T2,Ta,Tb] :
        ( ( organization(X,T1)
          & organization(X,T2)
          & reorganization(X,Ta,Tb)
          & reproducibility(X,Rp1,T1)
          & reproducibility(X,Rp2,T2)
          & ~ greater(Ta,T1)
          & greater(T2,T1)
          & ~ greater(T2,Tb) )
       => greater(Rp1,Rp2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL) ).

tff(f_37,axiom,
    ! [X,T] :
      ( organization(X,T)
     => ? [A] : accountability(X,A,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).

tff(f_32,axiom,
    ! [X,T] :
      ( organization(X,T)
     => ? [R] : reliability(X,R,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).

tff(f_42,axiom,
    ! [X,T] :
      ( organization(X,T)
     => ? [A] : reproducibility(X,A,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_not_in_TR) ).

tff(f_94,hypothesis,
    ! [X,R1,R2,A1,A2,T1,T2,Ta,Tb] :
      ( ( organization(X,T1)
        & organization(X,T2)
        & reorganization(X,Ta,Tb)
        & reliability(X,R1,T1)
        & reliability(X,R2,T2)
        & accountability(X,A1,T1)
        & accountability(X,A2,T2)
        & ~ greater(Ta,T1)
        & greater(T2,T1)
        & ~ greater(T2,Tb) )
     => ( greater(R1,R2)
        & greater(A1,A2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL) ).

tff(f_66,hypothesis,
    ! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reliability(X,R1,T1)
        & reliability(Y,R2,T2)
        & accountability(X,A1,T1)
        & accountability(Y,A2,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2) )
     => ( greater(Rp2,Rp1)
      <=> ( greater(R2,R1)
          & greater(A2,A1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).

tff(c_32,plain,
    organization('#skF_4','#skF_8'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_4,plain,
    ! [X_4,T_5] :
      ( accountability(X_4,'#skF_2'(X_4,T_5),T_5)
      | ~ organization(X_4,T_5) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_18,plain,
    ~ greater('#skF_5','#skF_6'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

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

tff(c_26,plain,
    reproducibility('#skF_4','#skF_6','#skF_8'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_6,plain,
    ! [X_7,T_8] :
      ( reproducibility(X_7,'#skF_3'(X_7,T_8),T_8)
      | ~ organization(X_7,T_8) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_24,plain,
    ~ greater('#skF_9','#skF_7'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_20,plain,
    ~ greater('#skF_8','#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_34,plain,
    organization('#skF_4','#skF_7'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_30,plain,
    reorganization('#skF_4','#skF_9','#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_22,plain,
    greater('#skF_8','#skF_7'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_84,plain,
    ! [A1_108,R1_107,T2_111,T1_109,R2_105,Tb_104,X_106,A2_103,Ta_110] :
      ( greater(R1_107,R2_105)
      | greater(T2_111,Tb_104)
      | ~ greater(T2_111,T1_109)
      | greater(Ta_110,T1_109)
      | ~ accountability(X_106,A2_103,T2_111)
      | ~ accountability(X_106,A1_108,T1_109)
      | ~ reliability(X_106,R2_105,T2_111)
      | ~ reliability(X_106,R1_107,T1_109)
      | ~ reorganization(X_106,Ta_110,Tb_104)
      | ~ organization(X_106,T2_111)
      | ~ organization(X_106,T1_109) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_91,plain,
    ! [R2_114,Ta_117,A1_115,A2_116,Tb_118,R1_112,X_113] :
      ( greater(R1_112,R2_114)
      | greater('#skF_8',Tb_118)
      | greater(Ta_117,'#skF_7')
      | ~ accountability(X_113,A2_116,'#skF_8')
      | ~ accountability(X_113,A1_115,'#skF_7')
      | ~ reliability(X_113,R2_114,'#skF_8')
      | ~ reliability(X_113,R1_112,'#skF_7')
      | ~ reorganization(X_113,Ta_117,Tb_118)
      | ~ organization(X_113,'#skF_8')
      | ~ organization(X_113,'#skF_7') ),
    inference(resolution,[status(thm)],[c_22,c_84]) ).

tff(c_96,plain,
    ! [R1_124,A1_119,Tb_121,R2_122,X_123,Ta_120] :
      ( greater(R1_124,R2_122)
      | greater('#skF_8',Tb_121)
      | greater(Ta_120,'#skF_7')
      | ~ accountability(X_123,A1_119,'#skF_7')
      | ~ reliability(X_123,R2_122,'#skF_8')
      | ~ reliability(X_123,R1_124,'#skF_7')
      | ~ reorganization(X_123,Ta_120,Tb_121)
      | ~ organization(X_123,'#skF_7')
      | ~ organization(X_123,'#skF_8') ),
    inference(resolution,[status(thm)],[c_4,c_91]) ).

tff(c_108,plain,
    ! [R1_138,R2_135,Ta_137,X_139,Tb_136] :
      ( greater(R1_138,R2_135)
      | greater('#skF_8',Tb_136)
      | greater(Ta_137,'#skF_7')
      | ~ reliability(X_139,R2_135,'#skF_8')
      | ~ reliability(X_139,R1_138,'#skF_7')
      | ~ reorganization(X_139,Ta_137,Tb_136)
      | ~ organization(X_139,'#skF_8')
      | ~ organization(X_139,'#skF_7') ),
    inference(resolution,[status(thm)],[c_4,c_96]) ).

tff(c_113,plain,
    ! [R1_140,X_141,Tb_142,Ta_143] :
      ( greater(R1_140,'#skF_1'(X_141,'#skF_8'))
      | greater('#skF_8',Tb_142)
      | greater(Ta_143,'#skF_7')
      | ~ reliability(X_141,R1_140,'#skF_7')
      | ~ reorganization(X_141,Ta_143,Tb_142)
      | ~ organization(X_141,'#skF_7')
      | ~ organization(X_141,'#skF_8') ),
    inference(resolution,[status(thm)],[c_2,c_108]) ).

tff(c_115,plain,
    ! [R1_140] :
      ( greater(R1_140,'#skF_1'('#skF_4','#skF_8'))
      | greater('#skF_8','#skF_10')
      | greater('#skF_9','#skF_7')
      | ~ reliability('#skF_4',R1_140,'#skF_7')
      | ~ organization('#skF_4','#skF_7')
      | ~ organization('#skF_4','#skF_8') ),
    inference(resolution,[status(thm)],[c_30,c_113]) ).

tff(c_118,plain,
    ! [R1_140] :
      ( greater(R1_140,'#skF_1'('#skF_4','#skF_8'))
      | greater('#skF_8','#skF_10')
      | greater('#skF_9','#skF_7')
      | ~ reliability('#skF_4',R1_140,'#skF_7') ),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_115]) ).

tff(c_119,plain,
    ! [R1_140] :
      ( greater(R1_140,'#skF_1'('#skF_4','#skF_8'))
      | ~ reliability('#skF_4',R1_140,'#skF_7') ),
    inference(negUnitSimplification,[status(thm)],[c_24,c_20,c_118]) ).

tff(c_101,plain,
    ! [Rp2_125,R2_134,A1_132,A2_126,X_128,Rp1_130,T2_127,R1_133,Y_129,T1_131] :
      ( greater(Rp2_125,Rp1_130)
      | ~ greater(A2_126,A1_132)
      | ~ greater(R2_134,R1_133)
      | ~ reproducibility(Y_129,Rp2_125,T2_127)
      | ~ reproducibility(X_128,Rp1_130,T1_131)
      | ~ accountability(Y_129,A2_126,T2_127)
      | ~ accountability(X_128,A1_132,T1_131)
      | ~ reliability(Y_129,R2_134,T2_127)
      | ~ reliability(X_128,R1_133,T1_131)
      | ~ organization(Y_129,T2_127)
      | ~ organization(X_128,T1_131) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_136,plain,
    ! [T2_145,Y_152,X_149,T1_147,R2_146,R1_148,Rp2_151,Rp1_150] :
      ( greater(Rp2_151,Rp1_150)
      | ~ greater(R2_146,R1_148)
      | ~ reproducibility(Y_152,Rp2_151,T2_145)
      | ~ reproducibility(X_149,Rp1_150,T1_147)
      | ~ accountability(Y_152,'#skF_8',T2_145)
      | ~ accountability(X_149,'#skF_7',T1_147)
      | ~ reliability(Y_152,R2_146,T2_145)
      | ~ reliability(X_149,R1_148,T1_147)
      | ~ organization(Y_152,T2_145)
      | ~ organization(X_149,T1_147) ),
    inference(resolution,[status(thm)],[c_22,c_101]) ).

tff(c_308,plain,
    ! [R1_258,Rp2_259,Y_263,Rp1_264,T1_261,X_262,T2_260] :
      ( greater(Rp2_259,Rp1_264)
      | ~ reproducibility(Y_263,Rp2_259,T2_260)
      | ~ reproducibility(X_262,Rp1_264,T1_261)
      | ~ accountability(Y_263,'#skF_8',T2_260)
      | ~ accountability(X_262,'#skF_7',T1_261)
      | ~ reliability(Y_263,R1_258,T2_260)
      | ~ reliability(X_262,'#skF_1'('#skF_4','#skF_8'),T1_261)
      | ~ organization(Y_263,T2_260)
      | ~ organization(X_262,T1_261)
      | ~ reliability('#skF_4',R1_258,'#skF_7') ),
    inference(resolution,[status(thm)],[c_119,c_136]) ).

tff(c_336,plain,
    ! [R1_274,X_275,X_277,T1_278,Rp1_276,T_279] :
      ( greater('#skF_3'(X_277,T_279),Rp1_276)
      | ~ reproducibility(X_275,Rp1_276,T1_278)
      | ~ accountability(X_277,'#skF_8',T_279)
      | ~ accountability(X_275,'#skF_7',T1_278)
      | ~ reliability(X_277,R1_274,T_279)
      | ~ reliability(X_275,'#skF_1'('#skF_4','#skF_8'),T1_278)
      | ~ organization(X_275,T1_278)
      | ~ reliability('#skF_4',R1_274,'#skF_7')
      | ~ organization(X_277,T_279) ),
    inference(resolution,[status(thm)],[c_6,c_308]) ).

tff(c_342,plain,
    ! [X_277,T_279,R1_274] :
      ( greater('#skF_3'(X_277,T_279),'#skF_6')
      | ~ accountability(X_277,'#skF_8',T_279)
      | ~ accountability('#skF_4','#skF_7','#skF_8')
      | ~ reliability(X_277,R1_274,T_279)
      | ~ reliability('#skF_4','#skF_1'('#skF_4','#skF_8'),'#skF_8')
      | ~ organization('#skF_4','#skF_8')
      | ~ reliability('#skF_4',R1_274,'#skF_7')
      | ~ organization(X_277,T_279) ),
    inference(resolution,[status(thm)],[c_26,c_336]) ).

tff(c_349,plain,
    ! [X_277,T_279,R1_274] :
      ( greater('#skF_3'(X_277,T_279),'#skF_6')
      | ~ accountability(X_277,'#skF_8',T_279)
      | ~ accountability('#skF_4','#skF_7','#skF_8')
      | ~ reliability(X_277,R1_274,T_279)
      | ~ reliability('#skF_4','#skF_1'('#skF_4','#skF_8'),'#skF_8')
      | ~ reliability('#skF_4',R1_274,'#skF_7')
      | ~ organization(X_277,T_279) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_342]) ).

tff(c_351,plain,
    ~ reliability('#skF_4','#skF_1'('#skF_4','#skF_8'),'#skF_8'),
    inference(splitLeft,[status(thm)],[c_349]) ).

tff(c_354,plain,
    ~ organization('#skF_4','#skF_8'),
    inference(resolution,[status(thm)],[c_2,c_351]) ).

tff(c_358,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_354]) ).

tff(c_360,plain,
    reliability('#skF_4','#skF_1'('#skF_4','#skF_8'),'#skF_8'),
    inference(splitRight,[status(thm)],[c_349]) ).

tff(c_28,plain,
    reproducibility('#skF_4','#skF_5','#skF_7'),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_47,plain,
    ! [Ta_70,T1_69,Tb_64,A1_68,T2_71,X_66,R2_65,R1_67,A2_63] :
      ( greater(A1_68,A2_63)
      | greater(T2_71,Tb_64)
      | ~ greater(T2_71,T1_69)
      | greater(Ta_70,T1_69)
      | ~ accountability(X_66,A2_63,T2_71)
      | ~ accountability(X_66,A1_68,T1_69)
      | ~ reliability(X_66,R2_65,T2_71)
      | ~ reliability(X_66,R1_67,T1_69)
      | ~ reorganization(X_66,Ta_70,Tb_64)
      | ~ organization(X_66,T2_71)
      | ~ organization(X_66,T1_69) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_52,plain,
    ! [X_80,Tb_82,A2_86,R1_81,A1_84,Ta_85,R2_83] :
      ( greater(A1_84,A2_86)
      | greater('#skF_8',Tb_82)
      | greater(Ta_85,'#skF_7')
      | ~ accountability(X_80,A2_86,'#skF_8')
      | ~ accountability(X_80,A1_84,'#skF_7')
      | ~ reliability(X_80,R2_83,'#skF_8')
      | ~ reliability(X_80,R1_81,'#skF_7')
      | ~ reorganization(X_80,Ta_85,Tb_82)
      | ~ organization(X_80,'#skF_8')
      | ~ organization(X_80,'#skF_7') ),
    inference(resolution,[status(thm)],[c_22,c_47]) ).

tff(c_57,plain,
    ! [R1_89,Tb_88,X_92,A1_91,R2_90,Ta_87] :
      ( greater(A1_91,'#skF_2'(X_92,'#skF_8'))
      | greater('#skF_8',Tb_88)
      | greater(Ta_87,'#skF_7')
      | ~ accountability(X_92,A1_91,'#skF_7')
      | ~ reliability(X_92,R2_90,'#skF_8')
      | ~ reliability(X_92,R1_89,'#skF_7')
      | ~ reorganization(X_92,Ta_87,Tb_88)
      | ~ organization(X_92,'#skF_7')
      | ~ organization(X_92,'#skF_8') ),
    inference(resolution,[status(thm)],[c_4,c_52]) ).

tff(c_62,plain,
    ! [Ta_97,X_94,Tb_93,A1_96,R1_95] :
      ( greater(A1_96,'#skF_2'(X_94,'#skF_8'))
      | greater('#skF_8',Tb_93)
      | greater(Ta_97,'#skF_7')
      | ~ accountability(X_94,A1_96,'#skF_7')
      | ~ reliability(X_94,R1_95,'#skF_7')
      | ~ reorganization(X_94,Ta_97,Tb_93)
      | ~ organization(X_94,'#skF_7')
      | ~ organization(X_94,'#skF_8') ),
    inference(resolution,[status(thm)],[c_2,c_57]) ).

tff(c_67,plain,
    ! [A1_98,X_99,Tb_100,Ta_101] :
      ( greater(A1_98,'#skF_2'(X_99,'#skF_8'))
      | greater('#skF_8',Tb_100)
      | greater(Ta_101,'#skF_7')
      | ~ accountability(X_99,A1_98,'#skF_7')
      | ~ reorganization(X_99,Ta_101,Tb_100)
      | ~ organization(X_99,'#skF_8')
      | ~ organization(X_99,'#skF_7') ),
    inference(resolution,[status(thm)],[c_2,c_62]) ).

tff(c_69,plain,
    ! [A1_98] :
      ( greater(A1_98,'#skF_2'('#skF_4','#skF_8'))
      | greater('#skF_8','#skF_10')
      | greater('#skF_9','#skF_7')
      | ~ accountability('#skF_4',A1_98,'#skF_7')
      | ~ organization('#skF_4','#skF_8')
      | ~ organization('#skF_4','#skF_7') ),
    inference(resolution,[status(thm)],[c_30,c_67]) ).

tff(c_72,plain,
    ! [A1_98] :
      ( greater(A1_98,'#skF_2'('#skF_4','#skF_8'))
      | greater('#skF_8','#skF_10')
      | greater('#skF_9','#skF_7')
      | ~ accountability('#skF_4',A1_98,'#skF_7') ),
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_32,c_69]) ).

tff(c_73,plain,
    ! [A1_98] :
      ( greater(A1_98,'#skF_2'('#skF_4','#skF_8'))
      | ~ accountability('#skF_4',A1_98,'#skF_7') ),
    inference(negUnitSimplification,[status(thm)],[c_24,c_20,c_72]) ).

tff(c_501,plain,
    ! [T2_369,Y_377,Rp2_376,R1_372,X_374,Rp1_375,T1_371,A1_373,R2_370] :
      ( greater(Rp2_376,Rp1_375)
      | ~ greater(R2_370,R1_372)
      | ~ reproducibility(Y_377,Rp2_376,T2_369)
      | ~ reproducibility(X_374,Rp1_375,T1_371)
      | ~ accountability(Y_377,A1_373,T2_369)
      | ~ accountability(X_374,'#skF_2'('#skF_4','#skF_8'),T1_371)
      | ~ reliability(Y_377,R2_370,T2_369)
      | ~ reliability(X_374,R1_372,T1_371)
      | ~ organization(Y_377,T2_369)
      | ~ organization(X_374,T1_371)
      | ~ accountability('#skF_4',A1_373,'#skF_7') ),
    inference(resolution,[status(thm)],[c_73,c_101]) ).

tff(c_670,plain,
    ! [T2_453,Rp2_449,T1_451,Rp1_448,Y_452,A1_447,R1_446,X_450] :
      ( greater(Rp2_449,Rp1_448)
      | ~ reproducibility(Y_452,Rp2_449,T2_453)
      | ~ reproducibility(X_450,Rp1_448,T1_451)
      | ~ accountability(Y_452,A1_447,T2_453)
      | ~ accountability(X_450,'#skF_2'('#skF_4','#skF_8'),T1_451)
      | ~ reliability(Y_452,R1_446,T2_453)
      | ~ reliability(X_450,'#skF_1'('#skF_4','#skF_8'),T1_451)
      | ~ organization(Y_452,T2_453)
      | ~ organization(X_450,T1_451)
      | ~ accountability('#skF_4',A1_447,'#skF_7')
      | ~ reliability('#skF_4',R1_446,'#skF_7') ),
    inference(resolution,[status(thm)],[c_119,c_501]) ).

tff(c_674,plain,
    ! [T1_451,Rp1_448,A1_447,R1_446,X_450] :
      ( greater('#skF_5',Rp1_448)
      | ~ reproducibility(X_450,Rp1_448,T1_451)
      | ~ accountability(X_450,'#skF_2'('#skF_4','#skF_8'),T1_451)
      | ~ reliability(X_450,'#skF_1'('#skF_4','#skF_8'),T1_451)
      | ~ organization('#skF_4','#skF_7')
      | ~ organization(X_450,T1_451)
      | ~ accountability('#skF_4',A1_447,'#skF_7')
      | ~ reliability('#skF_4',R1_446,'#skF_7') ),
    inference(resolution,[status(thm)],[c_28,c_670]) ).

tff(c_680,plain,
    ! [T1_451,Rp1_448,A1_447,R1_446,X_450] :
      ( greater('#skF_5',Rp1_448)
      | ~ reproducibility(X_450,Rp1_448,T1_451)
      | ~ accountability(X_450,'#skF_2'('#skF_4','#skF_8'),T1_451)
      | ~ reliability(X_450,'#skF_1'('#skF_4','#skF_8'),T1_451)
      | ~ organization(X_450,T1_451)
      | ~ accountability('#skF_4',A1_447,'#skF_7')
      | ~ reliability('#skF_4',R1_446,'#skF_7') ),
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_674]) ).

tff(c_685,plain,
    ! [R1_454] : ~ reliability('#skF_4',R1_454,'#skF_7'),
    inference(splitLeft,[status(thm)],[c_680]) ).

tff(c_689,plain,
    ~ organization('#skF_4','#skF_7'),
    inference(resolution,[status(thm)],[c_2,c_685]) ).

tff(c_693,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_689]) ).

tff(c_694,plain,
    ! [A1_447,Rp1_448,X_450,T1_451] :
      ( ~ accountability('#skF_4',A1_447,'#skF_7')
      | greater('#skF_5',Rp1_448)
      | ~ reproducibility(X_450,Rp1_448,T1_451)
      | ~ accountability(X_450,'#skF_2'('#skF_4','#skF_8'),T1_451)
      | ~ reliability(X_450,'#skF_1'('#skF_4','#skF_8'),T1_451)
      | ~ organization(X_450,T1_451) ),
    inference(splitRight,[status(thm)],[c_680]) ).

tff(c_696,plain,
    ! [A1_455] : ~ accountability('#skF_4',A1_455,'#skF_7'),
    inference(splitLeft,[status(thm)],[c_694]) ).

tff(c_700,plain,
    ~ organization('#skF_4','#skF_7'),
    inference(resolution,[status(thm)],[c_4,c_696]) ).

tff(c_704,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_700]) ).

tff(c_706,plain,
    ! [Rp1_456,X_457,T1_458] :
      ( greater('#skF_5',Rp1_456)
      | ~ reproducibility(X_457,Rp1_456,T1_458)
      | ~ accountability(X_457,'#skF_2'('#skF_4','#skF_8'),T1_458)
      | ~ reliability(X_457,'#skF_1'('#skF_4','#skF_8'),T1_458)
      | ~ organization(X_457,T1_458) ),
    inference(splitRight,[status(thm)],[c_694]) ).

tff(c_712,plain,
    ( greater('#skF_5','#skF_6')
    | ~ accountability('#skF_4','#skF_2'('#skF_4','#skF_8'),'#skF_8')
    | ~ reliability('#skF_4','#skF_1'('#skF_4','#skF_8'),'#skF_8')
    | ~ organization('#skF_4','#skF_8') ),
    inference(resolution,[status(thm)],[c_26,c_706]) ).

tff(c_719,plain,
    ( greater('#skF_5','#skF_6')
    | ~ accountability('#skF_4','#skF_2'('#skF_4','#skF_8'),'#skF_8') ),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_360,c_712]) ).

tff(c_720,plain,
    ~ accountability('#skF_4','#skF_2'('#skF_4','#skF_8'),'#skF_8'),
    inference(negUnitSimplification,[status(thm)],[c_18,c_719]) ).

tff(c_727,plain,
    ~ organization('#skF_4','#skF_8'),
    inference(resolution,[status(thm)],[c_4,c_720]) ).

tff(c_731,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_727]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT007+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % 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
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 20:25:37 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 4.48/2.24  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.48/2.24  
% 4.48/2.24  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.48/2.28  
% 4.48/2.28  Inference rules
% 4.48/2.28  ----------------------
% 4.48/2.28  #Ref     : 0
% 4.48/2.28  #Sup     : 158
% 4.48/2.28  #Fact    : 0
% 4.48/2.28  #Define  : 0
% 4.48/2.28  #Split   : 21
% 4.48/2.28  #Chain   : 0
% 4.48/2.28  #Close   : 0
% 4.48/2.28  
% 4.48/2.28  Ordering : KBO
% 4.48/2.28  
% 4.48/2.28  Simplification rules
% 4.48/2.28  ----------------------
% 4.48/2.28  #Subsume      : 94
% 4.48/2.28  #Demod        : 54
% 4.48/2.28  #Tautology    : 0
% 4.48/2.28  #SimpNegUnit  : 3
% 4.48/2.28  #BackRed      : 0
% 4.48/2.28  
% 4.48/2.28  #Partial instantiations: 0
% 4.48/2.28  #Strategies tried      : 1
% 4.48/2.28  
% 4.48/2.28  Timing (in seconds)
% 4.48/2.28  ----------------------
% 5.06/2.29  Preprocessing        : 0.48
% 5.06/2.29  Parsing              : 0.27
% 5.06/2.29  CNF conversion       : 0.03
% 5.06/2.29  Main loop            : 0.69
% 5.06/2.29  Inferencing          : 0.25
% 5.06/2.29  Reduction            : 0.15
% 5.06/2.29  Demodulation         : 0.10
% 5.06/2.29  BG Simplification    : 0.03
% 5.06/2.29  Subsumption          : 0.22
% 5.06/2.29  Abstraction          : 0.02
% 5.06/2.29  MUC search           : 0.00
% 5.06/2.29  Cooper               : 0.00
% 5.06/2.29  Total                : 1.24
% 5.06/2.29  Index Insertion      : 0.00
% 5.06/2.29  Index Deletion       : 0.00
% 5.06/2.29  Index Matching       : 0.00
% 5.06/2.29  BG Taut test         : 0.00
%------------------------------------------------------------------------------