TSTP Solution File: MGT043+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT043+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/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 : n003.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 10:49:42 EDT 2023

% Result   : Theorem 63.82s 46.66s
% Output   : CNFRefutation 63.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   84 (  15 unt;  15 typ;   0 def)
%            Number of atoms       :  256 (  65 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  265 (  78   ~; 152   |;  19   &)
%                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  12   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  111 (; 111   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > has_immunity > greater_or_equal > greater > organization > stock_of_knowledge > position > internal_friction > hazard_of_mortality > external_ties > capability > #nlpp > #skF_2 > #skF_3 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_206,negated_conjecture,
    ~ ! [X,T0,T] :
        ( ( organization(X)
          & ~ has_immunity(X,T0)
          & ~ has_immunity(X,T)
          & ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
          & greater(internal_friction(X,T),internal_friction(X,T0))
          & ( external_ties(X,T0) = external_ties(X,T) ) )
       => greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).

tff(f_183,axiom,
    ! [X,T0,T] :
      ( organization(X)
     => ( ( greater(external_ties(X,T),external_ties(X,T0))
         => greater(position(X,T),position(X,T0)) )
        & ( ( external_ties(X,T) = external_ties(X,T0) )
         => ( position(X,T) = position(X,T0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).

tff(f_60,axiom,
    ! [X,Y] :
      ( smaller_or_equal(X,Y)
    <=> ( smaller(X,Y)
        | ( X = Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

tff(f_172,axiom,
    ! [X,T0,T] :
      ( organization(X)
     => ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
            & smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
         => greater(capability(X,T),capability(X,T0)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
            & greater(internal_friction(X,T),internal_friction(X,T0)) )
         => smaller(capability(X,T),capability(X,T0)) )
        & ( ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
            & ( internal_friction(X,T) = internal_friction(X,T0) ) )
         => ( capability(X,T) = capability(X,T0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).

tff(f_82,axiom,
    ! [X,Y] :
      ( smaller(X,Y)
    <=> greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

tff(f_72,axiom,
    ! [X,Y] :
      ( greater_or_equal(X,Y)
    <=> ( greater(X,Y)
        | ( X = Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).

tff(f_118,axiom,
    ! [X,Y] :
      ( smaller(X,Y)
      | ( X = Y )
      | greater(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).

tff(f_99,axiom,
    ! [X,Y,Z] :
      ( ( greater(X,Y)
        & greater(Y,Z) )
     => greater(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).

tff(f_149,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & ~ has_immunity(X,T0)
        & ~ has_immunity(X,T) )
     => ( ( ( greater(capability(X,T),capability(X,T0))
            & greater_or_equal(position(X,T),position(X,T0)) )
         => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
        & ( ( greater_or_equal(capability(X,T),capability(X,T0))
            & greater(position(X,T),position(X,T0)) )
         => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
        & ( ( ( capability(X,T) = capability(X,T0) )
            & ( position(X,T) = position(X,T0) ) )
         => ( hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4) ).

tff(c_42,plain,
    external_ties('#skF_1','#skF_2') = external_ties('#skF_1','#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_52,plain,
    organization('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_192,plain,
    ! [X_53,T_54,T0_55] :
      ( ( position(X_53,T_54) = position(X_53,T0_55) )
      | ( external_ties(X_53,T_54) != external_ties(X_53,T0_55) )
      | ~ organization(X_53) ),
    inference(cnfTransformation,[status(thm)],[f_183]) ).

tff(c_196,plain,
    ! [T_56,T0_57] :
      ( ( position('#skF_1',T_56) = position('#skF_1',T0_57) )
      | ( external_ties('#skF_1',T_56) != external_ties('#skF_1',T0_57) ) ),
    inference(resolution,[status(thm)],[c_52,c_192]) ).

tff(c_195,plain,
    ! [T_54,T0_55] :
      ( ( position('#skF_1',T_54) = position('#skF_1',T0_55) )
      | ( external_ties('#skF_1',T_54) != external_ties('#skF_1',T0_55) ) ),
    inference(resolution,[status(thm)],[c_52,c_192]) ).

tff(c_1013,plain,
    ! [T0_105,T0_104,T_106] :
      ( ( position('#skF_1',T0_105) = position('#skF_1',T0_104) )
      | ( external_ties('#skF_1',T_106) != external_ties('#skF_1',T0_105) )
      | ( external_ties('#skF_1',T_106) != external_ties('#skF_1',T0_104) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_196,c_195]) ).

tff(c_1017,plain,
    ! [T0_104,T_106] :
      ( ( position('#skF_1',T0_104) = position('#skF_1','#skF_2') )
      | ( external_ties('#skF_1',T_106) != external_ties('#skF_1','#skF_3') )
      | ( external_ties('#skF_1',T_106) != external_ties('#skF_1',T0_104) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_1013]) ).

tff(c_1079,plain,
    ! [T0_104] :
      ( ( position('#skF_1',T0_104) = position('#skF_1','#skF_2') )
      | ( external_ties('#skF_1',T0_104) != external_ties('#skF_1','#skF_3') ) ),
    inference(reflexivity,[status(thm),theory(equality)],[c_1017]) ).

tff(c_48,plain,
    ~ has_immunity('#skF_1','#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_40,plain,
    ~ greater(hazard_of_mortality('#skF_1','#skF_3'),hazard_of_mortality('#skF_1','#skF_2')),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_44,plain,
    greater(internal_friction('#skF_1','#skF_3'),internal_friction('#skF_1','#skF_2')),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_4,plain,
    ! [Y_2] : smaller_or_equal(Y_2,Y_2),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_46,plain,
    stock_of_knowledge('#skF_1','#skF_2') = stock_of_knowledge('#skF_1','#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_772,plain,
    ! [X_95,T_96,T0_97] :
      ( smaller(capability(X_95,T_96),capability(X_95,T0_97))
      | ~ greater(internal_friction(X_95,T_96),internal_friction(X_95,T0_97))
      | ~ smaller_or_equal(stock_of_knowledge(X_95,T_96),stock_of_knowledge(X_95,T0_97))
      | ~ organization(X_95) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_778,plain,
    ! [T_96] :
      ( smaller(capability('#skF_1',T_96),capability('#skF_1','#skF_2'))
      | ~ greater(internal_friction('#skF_1',T_96),internal_friction('#skF_1','#skF_2'))
      | ~ smaller_or_equal(stock_of_knowledge('#skF_1',T_96),stock_of_knowledge('#skF_1','#skF_3'))
      | ~ organization('#skF_1') ),
    inference(superposition,[status(thm),theory(equality)],[c_46,c_772]) ).

tff(c_422528,plain,
    ! [T_59191] :
      ( smaller(capability('#skF_1',T_59191),capability('#skF_1','#skF_2'))
      | ~ greater(internal_friction('#skF_1',T_59191),internal_friction('#skF_1','#skF_2'))
      | ~ smaller_or_equal(stock_of_knowledge('#skF_1',T_59191),stock_of_knowledge('#skF_1','#skF_3')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_778]) ).

tff(c_422746,plain,
    ( smaller(capability('#skF_1','#skF_3'),capability('#skF_1','#skF_2'))
    | ~ greater(internal_friction('#skF_1','#skF_3'),internal_friction('#skF_1','#skF_2')) ),
    inference(resolution,[status(thm)],[c_4,c_422528]) ).

tff(c_422752,plain,
    smaller(capability('#skF_1','#skF_3'),capability('#skF_1','#skF_2')),
    inference(demodulation,[status(thm),theory(equality)],[c_44,c_422746]) ).

tff(c_14,plain,
    ! [Y_6,X_5] :
      ( greater(Y_6,X_5)
      | ~ smaller(X_5,Y_6) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_423016,plain,
    greater(capability('#skF_1','#skF_2'),capability('#skF_1','#skF_3')),
    inference(resolution,[status(thm)],[c_422752,c_14]) ).

tff(c_10,plain,
    ! [Y_4] : greater_or_equal(Y_4,Y_4),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_50,plain,
    ~ has_immunity('#skF_1','#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_75,plain,
    ! [X_35,Y_36] :
      ( greater(X_35,Y_36)
      | ( Y_36 = X_35 )
      | smaller(X_35,Y_36) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_79,plain,
    ! [Y_36,X_35] :
      ( greater(Y_36,X_35)
      | greater(X_35,Y_36)
      | ( Y_36 = X_35 ) ),
    inference(resolution,[status(thm)],[c_75,c_14]) ).

tff(c_135,plain,
    ! [X_43,Z_44,Y_45] :
      ( greater(X_43,Z_44)
      | ~ greater(Y_45,Z_44)
      | ~ greater(X_43,Y_45) ),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_165,plain,
    ! [X_48,Y_49,X_50] :
      ( greater(X_48,Y_49)
      | ~ greater(X_48,X_50)
      | greater(Y_49,X_50)
      | ( Y_49 = X_50 ) ),
    inference(resolution,[status(thm)],[c_79,c_135]) ).

tff(c_263,plain,
    ! [Y_58,Y_59,X_60] :
      ( greater(Y_58,Y_59)
      | greater(Y_59,X_60)
      | ( Y_59 = X_60 )
      | greater(X_60,Y_58)
      | ( Y_58 = X_60 ) ),
    inference(resolution,[status(thm)],[c_79,c_165]) ).

tff(c_143,plain,
    ! [X_43,Y_36,X_35] :
      ( greater(X_43,Y_36)
      | ~ greater(X_43,X_35)
      | greater(Y_36,X_35)
      | ( Y_36 = X_35 ) ),
    inference(resolution,[status(thm)],[c_79,c_135]) ).

tff(c_323,plain,
    ! [Y_59,Y_36,X_60,Y_58] :
      ( greater(Y_59,Y_36)
      | greater(Y_36,X_60)
      | ( Y_36 = X_60 )
      | greater(Y_58,Y_59)
      | ( Y_59 = X_60 )
      | greater(X_60,Y_58)
      | ( Y_58 = X_60 ) ),
    inference(resolution,[status(thm)],[c_263,c_143]) ).

tff(c_5554,plain,
    ! [Y_59,X_60,Y_58] :
      ( greater(Y_59,Y_59)
      | greater(Y_59,X_60)
      | greater(Y_58,Y_59)
      | greater(X_60,Y_58)
      | ( Y_58 = X_60 )
      | ( Y_59 = X_60 ) ),
    inference(factorization,[status(thm),theory(equality)],[c_323]) ).

tff(c_5315,plain,
    ! [X_1554,T_1555,T0_1556] :
      ( smaller(hazard_of_mortality(X_1554,T_1555),hazard_of_mortality(X_1554,T0_1556))
      | ~ greater(position(X_1554,T_1555),position(X_1554,T0_1556))
      | ~ greater_or_equal(capability(X_1554,T_1555),capability(X_1554,T0_1556))
      | has_immunity(X_1554,T_1555)
      | has_immunity(X_1554,T0_1556)
      | ~ organization(X_1554) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_431065,plain,
    ! [X_60515,T0_60516,T_60517] :
      ( greater(hazard_of_mortality(X_60515,T0_60516),hazard_of_mortality(X_60515,T_60517))
      | ~ greater(position(X_60515,T_60517),position(X_60515,T0_60516))
      | ~ greater_or_equal(capability(X_60515,T_60517),capability(X_60515,T0_60516))
      | has_immunity(X_60515,T_60517)
      | has_immunity(X_60515,T0_60516)
      | ~ organization(X_60515) ),
    inference(resolution,[status(thm)],[c_5315,c_14]) ).

tff(c_436376,plain,
    ! [X_61261,T_61262] :
      ( greater(hazard_of_mortality(X_61261,T_61262),hazard_of_mortality(X_61261,T_61262))
      | ~ greater(position(X_61261,T_61262),position(X_61261,T_61262))
      | has_immunity(X_61261,T_61262)
      | ~ organization(X_61261) ),
    inference(resolution,[status(thm)],[c_10,c_431065]) ).

tff(c_436521,plain,
    ! [T0_104] :
      ( greater(hazard_of_mortality('#skF_1','#skF_2'),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater(position('#skF_1',T0_104),position('#skF_1','#skF_2'))
      | has_immunity('#skF_1','#skF_2')
      | ~ organization('#skF_1')
      | ( external_ties('#skF_1',T0_104) != external_ties('#skF_1','#skF_3') ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1079,c_436376]) ).

tff(c_436575,plain,
    ! [T0_104] :
      ( greater(hazard_of_mortality('#skF_1','#skF_2'),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater(position('#skF_1',T0_104),position('#skF_1','#skF_2'))
      | has_immunity('#skF_1','#skF_2')
      | ( external_ties('#skF_1',T0_104) != external_ties('#skF_1','#skF_3') ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_436521]) ).

tff(c_436576,plain,
    ! [T0_104] :
      ( greater(hazard_of_mortality('#skF_1','#skF_2'),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater(position('#skF_1',T0_104),position('#skF_1','#skF_2'))
      | ( external_ties('#skF_1',T0_104) != external_ties('#skF_1','#skF_3') ) ),
    inference(negUnitSimplification,[status(thm)],[c_50,c_436575]) ).

tff(c_438041,plain,
    ! [T0_61461] :
      ( ~ greater(position('#skF_1',T0_61461),position('#skF_1','#skF_2'))
      | ( external_ties('#skF_1',T0_61461) != external_ties('#skF_1','#skF_3') ) ),
    inference(splitLeft,[status(thm)],[c_436576]) ).

tff(c_438051,plain,
    ! [X_60,Y_58] :
      ( ( external_ties('#skF_1','#skF_2') != external_ties('#skF_1','#skF_3') )
      | greater(position('#skF_1','#skF_2'),X_60)
      | greater(Y_58,position('#skF_1','#skF_2'))
      | greater(X_60,Y_58)
      | ( Y_58 = X_60 )
      | ( position('#skF_1','#skF_2') = X_60 ) ),
    inference(resolution,[status(thm)],[c_5554,c_438041]) ).

tff(c_438168,plain,
    ! [X_60,Y_58] :
      ( greater(position('#skF_1','#skF_2'),X_60)
      | greater(Y_58,position('#skF_1','#skF_2'))
      | greater(X_60,Y_58)
      | ( Y_58 = X_60 )
      | ( position('#skF_1','#skF_2') = X_60 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_438051]) ).

tff(c_12,plain,
    ! [X_3,Y_4] :
      ( ~ greater(X_3,Y_4)
      | greater_or_equal(X_3,Y_4) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_219863,plain,
    ! [X_31934,T_31935,T0_31936] :
      ( smaller(hazard_of_mortality(X_31934,T_31935),hazard_of_mortality(X_31934,T0_31936))
      | ~ greater_or_equal(position(X_31934,T_31935),position(X_31934,T0_31936))
      | ~ greater(capability(X_31934,T_31935),capability(X_31934,T0_31936))
      | has_immunity(X_31934,T_31935)
      | has_immunity(X_31934,T0_31936)
      | ~ organization(X_31934) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_433736,plain,
    ! [X_60910,T0_60911,T_60912] :
      ( greater(hazard_of_mortality(X_60910,T0_60911),hazard_of_mortality(X_60910,T_60912))
      | ~ greater_or_equal(position(X_60910,T_60912),position(X_60910,T0_60911))
      | ~ greater(capability(X_60910,T_60912),capability(X_60910,T0_60911))
      | has_immunity(X_60910,T_60912)
      | has_immunity(X_60910,T0_60911)
      | ~ organization(X_60910) ),
    inference(resolution,[status(thm)],[c_219863,c_14]) ).

tff(c_541253,plain,
    ! [X_77732,T0_77733,T_77734] :
      ( greater(hazard_of_mortality(X_77732,T0_77733),hazard_of_mortality(X_77732,T_77734))
      | ~ greater(capability(X_77732,T_77734),capability(X_77732,T0_77733))
      | has_immunity(X_77732,T_77734)
      | has_immunity(X_77732,T0_77733)
      | ~ organization(X_77732)
      | ~ greater(position(X_77732,T_77734),position(X_77732,T0_77733)) ),
    inference(resolution,[status(thm)],[c_12,c_433736]) ).

tff(c_541256,plain,
    ! [T0_77733,Y_58] :
      ( greater(hazard_of_mortality('#skF_1',T0_77733),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1',T0_77733))
      | has_immunity('#skF_1','#skF_2')
      | has_immunity('#skF_1',T0_77733)
      | ~ organization('#skF_1')
      | greater(Y_58,position('#skF_1','#skF_2'))
      | greater(position('#skF_1',T0_77733),Y_58)
      | ( position('#skF_1',T0_77733) = Y_58 )
      | ( position('#skF_1',T0_77733) = position('#skF_1','#skF_2') ) ),
    inference(resolution,[status(thm)],[c_438168,c_541253]) ).

tff(c_541640,plain,
    ! [T0_77733,Y_58] :
      ( greater(hazard_of_mortality('#skF_1',T0_77733),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1',T0_77733))
      | has_immunity('#skF_1','#skF_2')
      | has_immunity('#skF_1',T0_77733)
      | greater(Y_58,position('#skF_1','#skF_2'))
      | greater(position('#skF_1',T0_77733),Y_58)
      | ( position('#skF_1',T0_77733) = Y_58 )
      | ( position('#skF_1',T0_77733) = position('#skF_1','#skF_2') ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_541256]) ).

tff(c_591233,plain,
    ! [T0_82142,Y_82143] :
      ( greater(hazard_of_mortality('#skF_1',T0_82142),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1',T0_82142))
      | has_immunity('#skF_1',T0_82142)
      | greater(Y_82143,position('#skF_1','#skF_2'))
      | greater(position('#skF_1',T0_82142),Y_82143)
      | ( position('#skF_1',T0_82142) = Y_82143 )
      | ( position('#skF_1',T0_82142) = position('#skF_1','#skF_2') ) ),
    inference(negUnitSimplification,[status(thm)],[c_50,c_541640]) ).

tff(c_591371,plain,
    ! [Y_82143] :
      ( ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1','#skF_3'))
      | has_immunity('#skF_1','#skF_3')
      | greater(Y_82143,position('#skF_1','#skF_2'))
      | greater(position('#skF_1','#skF_3'),Y_82143)
      | ( position('#skF_1','#skF_3') = Y_82143 )
      | ( position('#skF_1','#skF_2') = position('#skF_1','#skF_3') ) ),
    inference(resolution,[status(thm)],[c_591233,c_40]) ).

tff(c_593789,plain,
    ! [Y_82143] :
      ( has_immunity('#skF_1','#skF_3')
      | greater(Y_82143,position('#skF_1','#skF_2'))
      | greater(position('#skF_1','#skF_3'),Y_82143)
      | ( position('#skF_1','#skF_3') = Y_82143 )
      | ( position('#skF_1','#skF_2') = position('#skF_1','#skF_3') ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_423016,c_591371]) ).

tff(c_593790,plain,
    ! [Y_82143] :
      ( greater(Y_82143,position('#skF_1','#skF_2'))
      | greater(position('#skF_1','#skF_3'),Y_82143)
      | ( position('#skF_1','#skF_3') = Y_82143 )
      | ( position('#skF_1','#skF_2') = position('#skF_1','#skF_3') ) ),
    inference(negUnitSimplification,[status(thm)],[c_48,c_593789]) ).

tff(c_601582,plain,
    position('#skF_1','#skF_2') = position('#skF_1','#skF_3'),
    inference(splitLeft,[status(thm)],[c_593790]) ).

tff(c_220155,plain,
    ! [X_31934,T0_31936,T_31935] :
      ( greater(hazard_of_mortality(X_31934,T0_31936),hazard_of_mortality(X_31934,T_31935))
      | ~ greater_or_equal(position(X_31934,T_31935),position(X_31934,T0_31936))
      | ~ greater(capability(X_31934,T_31935),capability(X_31934,T0_31936))
      | has_immunity(X_31934,T_31935)
      | has_immunity(X_31934,T0_31936)
      | ~ organization(X_31934) ),
    inference(resolution,[status(thm)],[c_219863,c_14]) ).

tff(c_601685,plain,
    ! [T0_31936] :
      ( greater(hazard_of_mortality('#skF_1',T0_31936),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater_or_equal(position('#skF_1','#skF_3'),position('#skF_1',T0_31936))
      | ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1',T0_31936))
      | has_immunity('#skF_1','#skF_2')
      | has_immunity('#skF_1',T0_31936)
      | ~ organization('#skF_1') ),
    inference(superposition,[status(thm),theory(equality)],[c_601582,c_220155]) ).

tff(c_602286,plain,
    ! [T0_31936] :
      ( greater(hazard_of_mortality('#skF_1',T0_31936),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater_or_equal(position('#skF_1','#skF_3'),position('#skF_1',T0_31936))
      | ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1',T0_31936))
      | has_immunity('#skF_1','#skF_2')
      | has_immunity('#skF_1',T0_31936) ),
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_601685]) ).

tff(c_631236,plain,
    ! [T0_86148] :
      ( greater(hazard_of_mortality('#skF_1',T0_86148),hazard_of_mortality('#skF_1','#skF_2'))
      | ~ greater_or_equal(position('#skF_1','#skF_3'),position('#skF_1',T0_86148))
      | ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1',T0_86148))
      | has_immunity('#skF_1',T0_86148) ),
    inference(negUnitSimplification,[status(thm)],[c_50,c_602286]) ).

tff(c_631746,plain,
    ( greater(hazard_of_mortality('#skF_1','#skF_3'),hazard_of_mortality('#skF_1','#skF_2'))
    | ~ greater(capability('#skF_1','#skF_2'),capability('#skF_1','#skF_3'))
    | has_immunity('#skF_1','#skF_3') ),
    inference(resolution,[status(thm)],[c_10,c_631236]) ).

tff(c_631753,plain,
    ( greater(hazard_of_mortality('#skF_1','#skF_3'),hazard_of_mortality('#skF_1','#skF_2'))
    | has_immunity('#skF_1','#skF_3') ),
    inference(demodulation,[status(thm),theory(equality)],[c_423016,c_631746]) ).

tff(c_631755,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_48,c_40,c_631753]) ).

tff(c_631757,plain,
    position('#skF_1','#skF_2') != position('#skF_1','#skF_3'),
    inference(splitRight,[status(thm)],[c_593790]) ).

tff(c_631782,plain,
    ! [T0_104] :
      ( ( position('#skF_1',T0_104) != position('#skF_1','#skF_3') )
      | ( external_ties('#skF_1',T0_104) != external_ties('#skF_1','#skF_3') ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1079,c_631757]) ).

tff(c_631795,plain,
    $false,
    inference(reflexivity,[status(thm),theory(equality)],[c_631782]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT043+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/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 : n003.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 20:36:09 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 63.82/46.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 63.82/46.67  
% 63.82/46.67  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 63.91/46.71  
% 63.91/46.71  Inference rules
% 63.91/46.71  ----------------------
% 63.91/46.71  #Ref     : 25
% 63.91/46.71  #Sup     : 71175
% 63.91/46.71  #Fact    : 770
% 63.91/46.71  #Define  : 0
% 63.91/46.71  #Split   : 24
% 63.91/46.71  #Chain   : 0
% 63.91/46.71  #Close   : 0
% 63.91/46.71  
% 63.91/46.71  Ordering : KBO
% 63.91/46.71  
% 63.91/46.71  Simplification rules
% 63.91/46.71  ----------------------
% 63.91/46.71  #Subsume      : 20816
% 63.91/46.71  #Demod        : 10457
% 63.91/46.71  #Tautology    : 3918
% 63.91/46.71  #SimpNegUnit  : 6389
% 63.91/46.71  #BackRed      : 153
% 63.91/46.71  
% 63.91/46.71  #Partial instantiations: 63504
% 63.91/46.71  #Strategies tried      : 1
% 63.91/46.71  
% 63.91/46.71  Timing (in seconds)
% 63.91/46.71  ----------------------
% 63.91/46.72  Preprocessing        : 0.56
% 63.91/46.72  Parsing              : 0.26
% 63.91/46.72  CNF conversion       : 0.03
% 63.91/46.72  Main loop            : 45.03
% 63.91/46.72  Inferencing          : 6.24
% 63.91/46.72  Reduction            : 6.56
% 63.91/46.72  Demodulation         : 4.04
% 63.91/46.72  BG Simplification    : 0.55
% 63.91/46.72  Subsumption          : 28.97
% 63.91/46.72  Abstraction          : 1.14
% 63.91/46.72  MUC search           : 0.00
% 63.91/46.72  Cooper               : 0.00
% 63.91/46.72  Total                : 45.65
% 63.91/46.72  Index Insertion      : 0.00
% 63.91/46.72  Index Deletion       : 0.00
% 63.91/46.72  Index Matching       : 0.00
% 63.91/46.72  BG Taut test         : 0.00
%------------------------------------------------------------------------------