TSTP Solution File: MGT055+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT055+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 : 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 10:49:44 EDT 2023

% Result   : Theorem 17.64s 7.59s
% Output   : CNFRefutation 17.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  152 (  52 unt;  22 typ;   0 def)
%            Number of atoms       :  308 (  47 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  323 ( 145   ~; 136   |;  26   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  14   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :  138 (; 138   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ dissimilar > smaller_or_equal > smaller > is_aligned > has_immunity > greater_or_equal > greater > organization > has_endowment > hazard_of_mortality > capability > age > #nlpp > zero > sigma > eta > #skF_2 > #skF_1 > #skF_7 > #skF_5 > #skF_6 > #skF_3 > #skF_4

%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(dissimilar,type,
    dissimilar: ( $i * $i * $i ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_250,negated_conjecture,
    ~ ! [X,T0,T1,T2,T3] :
        ( ( organization(X)
          & has_endowment(X)
          & ( age(X,T0) = zero )
          & smaller_or_equal(age(X,T1),eta)
          & greater(age(X,T2),eta)
          & smaller_or_equal(age(X,T2),sigma)
          & greater(age(X,T3),sigma)
          & greater(sigma,eta)
          & greater(eta,zero) )
       => ( greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))
          & greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
          & ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

tff(f_138,axiom,
    ! [X] :
      ( has_endowment(X)
    <=> ! [T] :
          ( organization(X)
          & ( smaller_or_equal(age(X,T),eta)
           => has_immunity(X,T) )
          & ( greater(age(X,T),eta)
           => ~ has_immunity(X,T) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).

tff(f_83,axiom,
    ! [X,Y] :
      ( smaller(X,Y)
    <=> greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

tff(f_61,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_159,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & has_immunity(X,T0)
        & ~ has_immunity(X,T) )
     => greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).

tff(f_180,axiom,
    ! [X,T] :
      ( ( organization(X)
        & ( age(X,T) = zero ) )
     => is_aligned(X,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).

tff(f_204,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & ( age(X,T0) = zero ) )
     => ( greater(age(X,T),sigma)
      <=> dissimilar(X,T0,T) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).

tff(f_172,axiom,
    ! [X,T0,T] :
      ( dissimilar(X,T0,T)
    <=> ( organization(X)
        & ~ ( is_aligned(X,T0)
          <=> is_aligned(X,T) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).

tff(f_100,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_194,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & is_aligned(X,T0)
        & ~ is_aligned(X,T) )
     => greater(capability(X,T0),capability(X,T)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14) ).

tff(f_218,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & ~ has_immunity(X,T0)
        & ~ has_immunity(X,T)
        & greater(capability(X,T),capability(X,T0)) )
     => greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16) ).

tff(f_89,axiom,
    ! [X,Y] :
      ~ ( greater(X,Y)
        & greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).

tff(f_148,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & has_immunity(X,T0)
        & has_immunity(X,T) )
     => ( hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).

tff(c_82,plain,
    has_endowment('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_76,plain,
    greater(age('#skF_3','#skF_6'),eta),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_76586,plain,
    ! [X_879,T_880] :
      ( ~ has_immunity(X_879,T_880)
      | ~ greater(age(X_879,T_880),eta)
      | ~ has_endowment(X_879) ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_76601,plain,
    ( ~ has_immunity('#skF_3','#skF_6')
    | ~ has_endowment('#skF_3') ),
    inference(resolution,[status(thm)],[c_76,c_76586]) ).

tff(c_76613,plain,
    ~ has_immunity('#skF_3','#skF_6'),
    inference(demodulation,[status(thm),theory(equality)],[c_82,c_76601]) ).

tff(c_84,plain,
    organization('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_68,plain,
    greater(eta,zero),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_16,plain,
    ! [X_5,Y_6] :
      ( smaller(X_5,Y_6)
      | ~ greater(Y_6,X_5) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_6,plain,
    ! [X_1,Y_2] :
      ( ~ smaller(X_1,Y_2)
      | smaller_or_equal(X_1,Y_2) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_80,plain,
    age('#skF_3','#skF_4') = zero,
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_76658,plain,
    ! [X_882,T_883] :
      ( has_immunity(X_882,T_883)
      | ~ smaller_or_equal(age(X_882,T_883),eta)
      | ~ has_endowment(X_882) ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_76667,plain,
    ( has_immunity('#skF_3','#skF_4')
    | ~ smaller_or_equal(zero,eta)
    | ~ has_endowment('#skF_3') ),
    inference(superposition,[status(thm),theory(equality)],[c_80,c_76658]) ).

tff(c_76673,plain,
    ( has_immunity('#skF_3','#skF_4')
    | ~ smaller_or_equal(zero,eta) ),
    inference(demodulation,[status(thm),theory(equality)],[c_82,c_76667]) ).

tff(c_76674,plain,
    ~ smaller_or_equal(zero,eta),
    inference(splitLeft,[status(thm)],[c_76673]) ).

tff(c_76678,plain,
    ~ smaller(zero,eta),
    inference(resolution,[status(thm)],[c_6,c_76674]) ).

tff(c_76685,plain,
    ~ greater(eta,zero),
    inference(resolution,[status(thm)],[c_16,c_76678]) ).

tff(c_76692,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_76685]) ).

tff(c_76693,plain,
    has_immunity('#skF_3','#skF_4'),
    inference(splitRight,[status(thm)],[c_76673]) ).

tff(c_81874,plain,
    ! [X_1022,T_1023,T0_1024] :
      ( greater(hazard_of_mortality(X_1022,T_1023),hazard_of_mortality(X_1022,T0_1024))
      | has_immunity(X_1022,T_1023)
      | ~ has_immunity(X_1022,T0_1024)
      | ~ organization(X_1022) ),
    inference(cnfTransformation,[status(thm)],[f_159]) ).

tff(c_56,plain,
    ! [X_27,T_28] :
      ( is_aligned(X_27,T_28)
      | ( age(X_27,T_28) != zero )
      | ~ organization(X_27) ),
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_72,plain,
    greater(age('#skF_3','#skF_7'),sigma),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_44786,plain,
    ! [X_554,T0_555,T_556] :
      ( dissimilar(X_554,T0_555,T_556)
      | ~ greater(age(X_554,T_556),sigma)
      | ( age(X_554,T0_555) != zero )
      | ~ organization(X_554) ),
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_44811,plain,
    ! [T0_555] :
      ( dissimilar('#skF_3',T0_555,'#skF_7')
      | ( age('#skF_3',T0_555) != zero )
      | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_72,c_44786]) ).

tff(c_44842,plain,
    ! [T0_557] :
      ( dissimilar('#skF_3',T0_557,'#skF_7')
      | ( age('#skF_3',T0_557) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_44811]) ).

tff(c_50,plain,
    ! [X_24,T0_25,T_26] :
      ( is_aligned(X_24,T0_25)
      | is_aligned(X_24,T_26)
      | ~ dissimilar(X_24,T0_25,T_26) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_44852,plain,
    ! [T0_557] :
      ( is_aligned('#skF_3',T0_557)
      | is_aligned('#skF_3','#skF_7')
      | ( age('#skF_3',T0_557) != zero ) ),
    inference(resolution,[status(thm)],[c_44842,c_50]) ).

tff(c_44856,plain,
    is_aligned('#skF_3','#skF_7'),
    inference(splitLeft,[status(thm)],[c_44852]) ).

tff(c_44,plain,
    ! [X_24,T_26,T0_25] :
      ( ~ is_aligned(X_24,T_26)
      | ~ is_aligned(X_24,T0_25)
      | ~ dissimilar(X_24,T0_25,T_26) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_44853,plain,
    ! [T0_557] :
      ( ~ is_aligned('#skF_3','#skF_7')
      | ~ is_aligned('#skF_3',T0_557)
      | ( age('#skF_3',T0_557) != zero ) ),
    inference(resolution,[status(thm)],[c_44842,c_44]) ).

tff(c_44991,plain,
    ! [T0_559] :
      ( ~ is_aligned('#skF_3',T0_559)
      | ( age('#skF_3',T0_559) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_44856,c_44853]) ).

tff(c_44998,plain,
    ! [T_28] :
      ( ( age('#skF_3',T_28) != zero )
      | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_56,c_44991]) ).

tff(c_45002,plain,
    ! [T_28] : ( age('#skF_3',T_28) != zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_44998]) ).

tff(c_45004,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_45002,c_80]) ).

tff(c_45006,plain,
    ~ is_aligned('#skF_3','#skF_7'),
    inference(splitRight,[status(thm)],[c_44852]) ).

tff(c_70,plain,
    greater(sigma,eta),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_214,plain,
    ! [X_64,Z_65,Y_66] :
      ( greater(X_64,Z_65)
      | ~ greater(Y_66,Z_65)
      | ~ greater(X_64,Y_66) ),
    inference(cnfTransformation,[status(thm)],[f_100]) ).

tff(c_263,plain,
    ! [X_70] :
      ( greater(X_70,eta)
      | ~ greater(X_70,sigma) ),
    inference(resolution,[status(thm)],[c_70,c_214]) ).

tff(c_277,plain,
    greater(age('#skF_3','#skF_7'),eta),
    inference(resolution,[status(thm)],[c_72,c_263]) ).

tff(c_28,plain,
    ! [X_14,T_17] :
      ( ~ has_immunity(X_14,T_17)
      | ~ greater(age(X_14,T_17),eta)
      | ~ has_endowment(X_14) ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_280,plain,
    ( ~ has_immunity('#skF_3','#skF_7')
    | ~ has_endowment('#skF_3') ),
    inference(resolution,[status(thm)],[c_277,c_28]) ).

tff(c_287,plain,
    ~ has_immunity('#skF_3','#skF_7'),
    inference(demodulation,[status(thm),theory(equality)],[c_82,c_280]) ).

tff(c_243,plain,
    ! [X_68,T_69] :
      ( ~ has_immunity(X_68,T_69)
      | ~ greater(age(X_68,T_69),eta)
      | ~ has_endowment(X_68) ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_252,plain,
    ( ~ has_immunity('#skF_3','#skF_6')
    | ~ has_endowment('#skF_3') ),
    inference(resolution,[status(thm)],[c_76,c_243]) ).

tff(c_260,plain,
    ~ has_immunity('#skF_3','#skF_6'),
    inference(demodulation,[status(thm),theory(equality)],[c_82,c_252]) ).

tff(c_4822,plain,
    ! [X_178,T0_179,T_180] :
      ( dissimilar(X_178,T0_179,T_180)
      | ~ greater(age(X_178,T_180),sigma)
      | ( age(X_178,T0_179) != zero )
      | ~ organization(X_178) ),
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_4860,plain,
    ! [T0_179] :
      ( dissimilar('#skF_3',T0_179,'#skF_7')
      | ( age('#skF_3',T0_179) != zero )
      | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_72,c_4822]) ).

tff(c_4906,plain,
    ! [T0_181] :
      ( dissimilar('#skF_3',T0_181,'#skF_7')
      | ( age('#skF_3',T0_181) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_4860]) ).

tff(c_4921,plain,
    ! [T0_181] :
      ( is_aligned('#skF_3',T0_181)
      | is_aligned('#skF_3','#skF_7')
      | ( age('#skF_3',T0_181) != zero ) ),
    inference(resolution,[status(thm)],[c_4906,c_50]) ).

tff(c_4925,plain,
    is_aligned('#skF_3','#skF_7'),
    inference(splitLeft,[status(thm)],[c_4921]) ).

tff(c_4922,plain,
    ! [T0_181] :
      ( ~ is_aligned('#skF_3','#skF_7')
      | ~ is_aligned('#skF_3',T0_181)
      | ( age('#skF_3',T0_181) != zero ) ),
    inference(resolution,[status(thm)],[c_4906,c_44]) ).

tff(c_4928,plain,
    ! [T0_182] :
      ( ~ is_aligned('#skF_3',T0_182)
      | ( age('#skF_3',T0_182) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4925,c_4922]) ).

tff(c_4935,plain,
    ! [T_28] :
      ( ( age('#skF_3',T_28) != zero )
      | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_56,c_4928]) ).

tff(c_4939,plain,
    ! [T_28] : ( age('#skF_3',T_28) != zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_4935]) ).

tff(c_4941,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4939,c_80]) ).

tff(c_4943,plain,
    ~ is_aligned('#skF_3','#skF_7'),
    inference(splitRight,[status(thm)],[c_4921]) ).

tff(c_58,plain,
    ! [X_29,T0_30,T_31] :
      ( greater(capability(X_29,T0_30),capability(X_29,T_31))
      | is_aligned(X_29,T_31)
      | ~ is_aligned(X_29,T0_30)
      | ~ organization(X_29) ),
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_5579,plain,
    ! [X_193,T0_194,T_195] :
      ( greater(hazard_of_mortality(X_193,T0_194),hazard_of_mortality(X_193,T_195))
      | ~ greater(capability(X_193,T_195),capability(X_193,T0_194))
      | has_immunity(X_193,T_195)
      | has_immunity(X_193,T0_194)
      | ~ organization(X_193) ),
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_36075,plain,
    ! [X_427,T_428,T0_429] :
      ( greater(hazard_of_mortality(X_427,T_428),hazard_of_mortality(X_427,T0_429))
      | has_immunity(X_427,T0_429)
      | has_immunity(X_427,T_428)
      | is_aligned(X_427,T_428)
      | ~ is_aligned(X_427,T0_429)
      | ~ organization(X_427) ),
    inference(resolution,[status(thm)],[c_58,c_5579]) ).

tff(c_66,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_5') != hazard_of_mortality('#skF_3','#skF_4') )
    | ~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_5'))
    | ~ greater(hazard_of_mortality('#skF_3','#skF_7'),hazard_of_mortality('#skF_3','#skF_6')) ),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_107,plain,
    ~ greater(hazard_of_mortality('#skF_3','#skF_7'),hazard_of_mortality('#skF_3','#skF_6')),
    inference(splitLeft,[status(thm)],[c_66]) ).

tff(c_36149,plain,
    ( has_immunity('#skF_3','#skF_6')
    | has_immunity('#skF_3','#skF_7')
    | is_aligned('#skF_3','#skF_7')
    | ~ is_aligned('#skF_3','#skF_6')
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_36075,c_107]) ).

tff(c_36213,plain,
    ( has_immunity('#skF_3','#skF_6')
    | has_immunity('#skF_3','#skF_7')
    | is_aligned('#skF_3','#skF_7')
    | ~ is_aligned('#skF_3','#skF_6') ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_36149]) ).

tff(c_36214,plain,
    ~ is_aligned('#skF_3','#skF_6'),
    inference(negUnitSimplification,[status(thm)],[c_4943,c_287,c_260,c_36213]) ).

tff(c_4942,plain,
    ! [T0_181] :
      ( is_aligned('#skF_3',T0_181)
      | ( age('#skF_3',T0_181) != zero ) ),
    inference(splitRight,[status(thm)],[c_4921]) ).

tff(c_54,plain,
    ! [X_24,T_26,T0_25] :
      ( is_aligned(X_24,T_26)
      | ~ is_aligned(X_24,T0_25)
      | dissimilar(X_24,T0_25,T_26)
      | ~ organization(X_24) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_4259,plain,
    ! [X_168,T_169,T0_170] :
      ( greater(age(X_168,T_169),sigma)
      | ~ dissimilar(X_168,T0_170,T_169)
      | ( age(X_168,T0_170) != zero )
      | ~ organization(X_168) ),
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_30376,plain,
    ! [X_383,T_384,T0_385] :
      ( greater(age(X_383,T_384),sigma)
      | ( age(X_383,T0_385) != zero )
      | is_aligned(X_383,T_384)
      | ~ is_aligned(X_383,T0_385)
      | ~ organization(X_383) ),
    inference(resolution,[status(thm)],[c_54,c_4259]) ).

tff(c_30378,plain,
    ! [T_384,T0_181] :
      ( greater(age('#skF_3',T_384),sigma)
      | is_aligned('#skF_3',T_384)
      | ~ organization('#skF_3')
      | ( age('#skF_3',T0_181) != zero ) ),
    inference(resolution,[status(thm)],[c_4942,c_30376]) ).

tff(c_30383,plain,
    ! [T_384,T0_181] :
      ( greater(age('#skF_3',T_384),sigma)
      | is_aligned('#skF_3',T_384)
      | ( age('#skF_3',T0_181) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_30378]) ).

tff(c_41074,plain,
    ! [T0_181] : ( age('#skF_3',T0_181) != zero ),
    inference(splitLeft,[status(thm)],[c_30383]) ).

tff(c_41076,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_41074,c_80]) ).

tff(c_41078,plain,
    ! [T_460] :
      ( greater(age('#skF_3',T_460),sigma)
      | is_aligned('#skF_3',T_460) ),
    inference(splitRight,[status(thm)],[c_30383]) ).

tff(c_74,plain,
    smaller_or_equal(age('#skF_3','#skF_6'),sigma),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_125,plain,
    ! [Y_56,X_57] :
      ( ( Y_56 = X_57 )
      | smaller(X_57,Y_56)
      | ~ smaller_or_equal(X_57,Y_56) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_139,plain,
    ( ( age('#skF_3','#skF_6') = sigma )
    | smaller(age('#skF_3','#skF_6'),sigma) ),
    inference(resolution,[status(thm)],[c_74,c_125]) ).

tff(c_396,plain,
    smaller(age('#skF_3','#skF_6'),sigma),
    inference(splitLeft,[status(thm)],[c_139]) ).

tff(c_14,plain,
    ! [Y_6,X_5] :
      ( greater(Y_6,X_5)
      | ~ smaller(X_5,Y_6) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_418,plain,
    greater(sigma,age('#skF_3','#skF_6')),
    inference(resolution,[status(thm)],[c_396,c_14]) ).

tff(c_18,plain,
    ! [Y_8,X_7] :
      ( ~ greater(Y_8,X_7)
      | ~ greater(X_7,Y_8) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_429,plain,
    ~ greater(age('#skF_3','#skF_6'),sigma),
    inference(resolution,[status(thm)],[c_418,c_18]) ).

tff(c_41164,plain,
    is_aligned('#skF_3','#skF_6'),
    inference(resolution,[status(thm)],[c_41078,c_429]) ).

tff(c_41246,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_36214,c_41164]) ).

tff(c_41247,plain,
    age('#skF_3','#skF_6') = sigma,
    inference(splitRight,[status(thm)],[c_139]) ).

tff(c_41248,plain,
    ~ smaller(age('#skF_3','#skF_6'),sigma),
    inference(splitRight,[status(thm)],[c_139]) ).

tff(c_41302,plain,
    ~ smaller(sigma,sigma),
    inference(demodulation,[status(thm),theory(equality)],[c_41247,c_41248]) ).

tff(c_41311,plain,
    ~ greater(sigma,sigma),
    inference(resolution,[status(thm)],[c_16,c_41302]) ).

tff(c_45005,plain,
    ! [T0_557] :
      ( is_aligned('#skF_3',T0_557)
      | ( age('#skF_3',T0_557) != zero ) ),
    inference(splitRight,[status(thm)],[c_44852]) ).

tff(c_45676,plain,
    ! [X_572,T_573,T0_574] :
      ( greater(age(X_572,T_573),sigma)
      | ~ dissimilar(X_572,T0_574,T_573)
      | ( age(X_572,T0_574) != zero )
      | ~ organization(X_572) ),
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_69692,plain,
    ! [X_799,T_800,T0_801] :
      ( greater(age(X_799,T_800),sigma)
      | ( age(X_799,T0_801) != zero )
      | is_aligned(X_799,T_800)
      | ~ is_aligned(X_799,T0_801)
      | ~ organization(X_799) ),
    inference(resolution,[status(thm)],[c_54,c_45676]) ).

tff(c_69694,plain,
    ! [T_800,T0_557] :
      ( greater(age('#skF_3',T_800),sigma)
      | is_aligned('#skF_3',T_800)
      | ~ organization('#skF_3')
      | ( age('#skF_3',T0_557) != zero ) ),
    inference(resolution,[status(thm)],[c_45005,c_69692]) ).

tff(c_69699,plain,
    ! [T_800,T0_557] :
      ( greater(age('#skF_3',T_800),sigma)
      | is_aligned('#skF_3',T_800)
      | ( age('#skF_3',T0_557) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_69694]) ).

tff(c_73263,plain,
    ! [T0_557] : ( age('#skF_3',T0_557) != zero ),
    inference(splitLeft,[status(thm)],[c_69699]) ).

tff(c_73265,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_73263,c_80]) ).

tff(c_73455,plain,
    ! [T_827] :
      ( greater(age('#skF_3',T_827),sigma)
      | is_aligned('#skF_3',T_827) ),
    inference(splitRight,[status(thm)],[c_69699]) ).

tff(c_73528,plain,
    ( greater(sigma,sigma)
    | is_aligned('#skF_3','#skF_6') ),
    inference(superposition,[status(thm),theory(equality)],[c_41247,c_73455]) ).

tff(c_73590,plain,
    is_aligned('#skF_3','#skF_6'),
    inference(negUnitSimplification,[status(thm)],[c_41311,c_73528]) ).

tff(c_60027,plain,
    ! [X_689,T0_690,T_691] :
      ( greater(hazard_of_mortality(X_689,T0_690),hazard_of_mortality(X_689,T_691))
      | ~ greater(capability(X_689,T_691),capability(X_689,T0_690))
      | has_immunity(X_689,T_691)
      | has_immunity(X_689,T0_690)
      | ~ organization(X_689) ),
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_76212,plain,
    ! [X_850,T_851,T0_852] :
      ( greater(hazard_of_mortality(X_850,T_851),hazard_of_mortality(X_850,T0_852))
      | has_immunity(X_850,T0_852)
      | has_immunity(X_850,T_851)
      | is_aligned(X_850,T_851)
      | ~ is_aligned(X_850,T0_852)
      | ~ organization(X_850) ),
    inference(resolution,[status(thm)],[c_58,c_60027]) ).

tff(c_76300,plain,
    ( has_immunity('#skF_3','#skF_6')
    | has_immunity('#skF_3','#skF_7')
    | is_aligned('#skF_3','#skF_7')
    | ~ is_aligned('#skF_3','#skF_6')
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_76212,c_107]) ).

tff(c_76376,plain,
    ( has_immunity('#skF_3','#skF_6')
    | has_immunity('#skF_3','#skF_7')
    | is_aligned('#skF_3','#skF_7') ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_73590,c_76300]) ).

tff(c_76378,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_45006,c_287,c_260,c_76376]) ).

tff(c_76379,plain,
    ( ~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_5'))
    | ( hazard_of_mortality('#skF_3','#skF_5') != hazard_of_mortality('#skF_3','#skF_4') ) ),
    inference(splitRight,[status(thm)],[c_66]) ).

tff(c_77134,plain,
    hazard_of_mortality('#skF_3','#skF_5') != hazard_of_mortality('#skF_3','#skF_4'),
    inference(splitLeft,[status(thm)],[c_76379]) ).

tff(c_78,plain,
    smaller_or_equal(age('#skF_3','#skF_5'),eta),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_76664,plain,
    ( has_immunity('#skF_3','#skF_5')
    | ~ has_endowment('#skF_3') ),
    inference(resolution,[status(thm)],[c_78,c_76658]) ).

tff(c_76671,plain,
    has_immunity('#skF_3','#skF_5'),
    inference(demodulation,[status(thm),theory(equality)],[c_82,c_76664]) ).

tff(c_77913,plain,
    ! [X_931,T_932,T0_933] :
      ( ( hazard_of_mortality(X_931,T_932) = hazard_of_mortality(X_931,T0_933) )
      | ~ has_immunity(X_931,T_932)
      | ~ has_immunity(X_931,T0_933)
      | ~ organization(X_931) ),
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_77917,plain,
    ! [T0_933] :
      ( ( hazard_of_mortality('#skF_3',T0_933) = hazard_of_mortality('#skF_3','#skF_5') )
      | ~ has_immunity('#skF_3',T0_933)
      | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_76671,c_77913]) ).

tff(c_78258,plain,
    ! [T0_939] :
      ( ( hazard_of_mortality('#skF_3',T0_939) = hazard_of_mortality('#skF_3','#skF_5') )
      | ~ has_immunity('#skF_3',T0_939) ),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_77917]) ).

tff(c_78261,plain,
    hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
    inference(resolution,[status(thm)],[c_76693,c_78258]) ).

tff(c_78268,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_77134,c_78261]) ).

tff(c_78270,plain,
    hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
    inference(splitRight,[status(thm)],[c_76379]) ).

tff(c_78269,plain,
    ~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_5')),
    inference(splitRight,[status(thm)],[c_76379]) ).

tff(c_78275,plain,
    ~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_4')),
    inference(demodulation,[status(thm),theory(equality)],[c_78270,c_78269]) ).

tff(c_81893,plain,
    ( has_immunity('#skF_3','#skF_6')
    | ~ has_immunity('#skF_3','#skF_4')
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_81874,c_78275]) ).

tff(c_81924,plain,
    has_immunity('#skF_3','#skF_6'),
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_76693,c_81893]) ).

tff(c_81926,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_76613,c_81924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT055+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
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 19:59:51 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 17.64/7.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.64/7.60  
% 17.64/7.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.64/7.64  
% 17.64/7.64  Inference rules
% 17.64/7.64  ----------------------
% 17.64/7.64  #Ref     : 0
% 17.64/7.64  #Sup     : 16424
% 17.64/7.64  #Fact    : 118
% 17.64/7.64  #Define  : 0
% 17.64/7.64  #Split   : 57
% 17.64/7.64  #Chain   : 0
% 17.64/7.64  #Close   : 0
% 17.64/7.64  
% 17.64/7.64  Ordering : KBO
% 17.64/7.64  
% 17.64/7.64  Simplification rules
% 17.64/7.64  ----------------------
% 17.64/7.64  #Subsume      : 9368
% 17.64/7.64  #Demod        : 10682
% 17.64/7.64  #Tautology    : 4086
% 17.64/7.64  #SimpNegUnit  : 3131
% 17.64/7.64  #BackRed      : 209
% 17.64/7.64  
% 17.64/7.64  #Partial instantiations: 0
% 17.64/7.64  #Strategies tried      : 1
% 17.64/7.64  
% 17.64/7.64  Timing (in seconds)
% 17.64/7.64  ----------------------
% 17.64/7.64  Preprocessing        : 0.56
% 17.64/7.64  Parsing              : 0.24
% 17.64/7.64  CNF conversion       : 0.04
% 17.64/7.64  Main loop            : 5.86
% 17.64/7.64  Inferencing          : 1.33
% 17.64/7.65  Reduction            : 2.25
% 17.64/7.65  Demodulation         : 1.58
% 17.64/7.65  BG Simplification    : 0.08
% 17.64/7.65  Subsumption          : 1.94
% 17.64/7.65  Abstraction          : 0.17
% 17.64/7.65  MUC search           : 0.00
% 17.64/7.65  Cooper               : 0.00
% 17.64/7.65  Total                : 6.49
% 17.64/7.65  Index Insertion      : 0.00
% 17.64/7.65  Index Deletion       : 0.00
% 17.64/7.65  Index Matching       : 0.00
% 17.64/7.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------