TSTP Solution File: MGT065+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT065+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 : n031.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 10:49:46 EDT 2023

% Result   : Theorem 82.70s 66.87s
% Output   : CNFRefutation 82.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  179 (  83 unt;  29 typ;   0 def)
%            Number of atoms       :  303 (  76 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  256 ( 103   ~; 108   |;  27   &)
%                                         (   6 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  16   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  13 con; 0-2 aty)
%            Number of variables   :   82 (;  82   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ dissimilar > smaller_or_equal > smaller > positional_advantage > is_aligned > has_immunity > greater_or_equal > greater > robust_position > organization > has_endowment > fragile_position > hazard_of_mortality > age > #nlpp > zero > very_low > tau > sigma > mod2 > mod1 > low > high > eta > #skF_2 > #skF_1 > #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(high,type,
    high: $i ).

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

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

tff(mod2,type,
    mod2: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(mod1,type,
    mod1: $i ).

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

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

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

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

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

tff(f_261,negated_conjecture,
    ~ ! [X,T0,T1,T2] :
        ( ( organization(X)
          & ( robust_position(X)
            | fragile_position(X) )
          & has_endowment(X)
          & ( age(X,T0) = zero )
          & greater(sigma,zero)
          & greater(tau,zero)
          & greater(eta,zero)
          & smaller_or_equal(age(X,T1),sigma)
          & smaller_or_equal(age(X,T1),tau)
          & smaller_or_equal(age(X,T1),eta)
          & greater(age(X,T2),sigma)
          & greater(age(X,T2),tau)
          & greater(age(X,T2),eta) )
       => ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
          & ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11) ).

tff(f_137,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/sandbox/benchmark/theBenchmark.p',definition_1) ).

tff(f_208,axiom,
    ! [X,T] :
      ( organization(X)
     => ( ( has_immunity(X,T)
         => ( hazard_of_mortality(X,T) = very_low ) )
        & ( ~ has_immunity(X,T)
         => ( ( ( is_aligned(X,T)
                & positional_advantage(X,T) )
             => ( hazard_of_mortality(X,T) = low ) )
            & ( ( ~ is_aligned(X,T)
                & positional_advantage(X,T) )
             => ( hazard_of_mortality(X,T) = mod1 ) )
            & ( ( is_aligned(X,T)
                & ~ positional_advantage(X,T) )
             => ( hazard_of_mortality(X,T) = mod2 ) )
            & ( ( ~ is_aligned(X,T)
                & ~ positional_advantage(X,T) )
             => ( hazard_of_mortality(X,T) = high ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).

tff(f_213,axiom,
    greater(high,mod1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).

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

tff(f_214,axiom,
    greater(mod1,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).

tff(f_88,axiom,
    ! [X,Y] :
      ~ ( greater(X,Y)
        & greater(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).

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

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

tff(f_215,axiom,
    greater(low,very_low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).

tff(f_217,axiom,
    greater(mod2,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).

tff(f_216,axiom,
    greater(high,mod2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).

tff(f_168,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & ( age(X,T0) = zero ) )
     => ( greater(age(X,T),sigma)
      <=> dissimilar(X,T0,T) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).

tff(f_150,axiom,
    ! [X,T0,T] :
      ( dissimilar(X,T0,T)
    <=> ( organization(X)
        & ~ ( is_aligned(X,T0)
          <=> is_aligned(X,T) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).

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

tff(c_104,plain,
    organization('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_100,plain,
    has_endowment('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_86,plain,
    smaller_or_equal(age('#skF_3','#skF_5'),eta),
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_881700,plain,
    ! [X_7431,T_7432] :
      ( has_immunity(X_7431,T_7432)
      | ~ smaller_or_equal(age(X_7431,T_7432),eta)
      | ~ has_endowment(X_7431) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_881706,plain,
    ( has_immunity('#skF_3','#skF_5')
    | ~ has_endowment('#skF_3') ),
    inference(resolution,[status(thm)],[c_86,c_881700]) ).

tff(c_881713,plain,
    has_immunity('#skF_3','#skF_5'),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_881706]) ).

tff(c_58,plain,
    ! [X_26,T_27] :
      ( ( hazard_of_mortality(X_26,T_27) = very_low )
      | ~ has_immunity(X_26,T_27)
      | ~ organization(X_26) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_881718,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_5') = very_low )
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_881713,c_58]) ).

tff(c_881721,plain,
    hazard_of_mortality('#skF_3','#skF_5') = very_low,
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_881718]) ).

tff(c_68,plain,
    greater(high,mod1),
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_291,plain,
    ! [X_56,Z_57,Y_58] :
      ( greater(X_56,Z_57)
      | ~ greater(Y_58,Z_57)
      | ~ greater(X_56,Y_58) ),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_331,plain,
    ! [X_59] :
      ( greater(X_59,mod1)
      | ~ greater(X_59,high) ),
    inference(resolution,[status(thm)],[c_68,c_291]) ).

tff(c_70,plain,
    greater(mod1,low),
    inference(cnfTransformation,[status(thm)],[f_214]) ).

tff(c_114,plain,
    ! [Y_34,X_35] :
      ( ~ greater(Y_34,X_35)
      | ~ greater(X_35,Y_34) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_144,plain,
    ~ greater(low,mod1),
    inference(resolution,[status(thm)],[c_70,c_114]) ).

tff(c_340,plain,
    ~ greater(low,high),
    inference(resolution,[status(thm)],[c_331,c_144]) ).

tff(c_80,plain,
    greater(age('#skF_3','#skF_6'),eta),
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_580,plain,
    ! [X_77,T_78] :
      ( ~ has_immunity(X_77,T_78)
      | ~ greater(age(X_77,T_78),eta)
      | ~ has_endowment(X_77) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_589,plain,
    ( ~ has_immunity('#skF_3','#skF_6')
    | ~ has_endowment('#skF_3') ),
    inference(resolution,[status(thm)],[c_80,c_580]) ).

tff(c_597,plain,
    ~ has_immunity('#skF_3','#skF_6'),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_589]) ).

tff(c_167,plain,
    ! [X_46,Y_47] :
      ( greater(X_46,Y_47)
      | ( Y_47 = X_46 )
      | smaller(X_46,Y_47) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

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_171,plain,
    ! [Y_47,X_46] :
      ( greater(Y_47,X_46)
      | greater(X_46,Y_47)
      | ( Y_47 = X_46 ) ),
    inference(resolution,[status(thm)],[c_167,c_14]) ).

tff(c_395,plain,
    ! [X_65] :
      ( greater(X_65,low)
      | ~ greater(X_65,mod1) ),
    inference(resolution,[status(thm)],[c_70,c_291]) ).

tff(c_789038,plain,
    ! [Y_6617] :
      ( greater(Y_6617,low)
      | greater(mod1,Y_6617)
      | ( mod1 = Y_6617 ) ),
    inference(resolution,[status(thm)],[c_171,c_395]) ).

tff(c_72,plain,
    greater(low,very_low),
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_145,plain,
    ~ greater(very_low,low),
    inference(resolution,[status(thm)],[c_72,c_114]) ).

tff(c_789117,plain,
    ( greater(mod1,very_low)
    | ( very_low = mod1 ) ),
    inference(resolution,[status(thm)],[c_789038,c_145]) ).

tff(c_789128,plain,
    very_low = mod1,
    inference(splitLeft,[status(thm)],[c_789117]) ).

tff(c_789150,plain,
    ~ greater(mod1,low),
    inference(demodulation,[status(thm),theory(equality)],[c_789128,c_145]) ).

tff(c_789155,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_70,c_789150]) ).

tff(c_789156,plain,
    greater(mod1,very_low),
    inference(splitRight,[status(thm)],[c_789117]) ).

tff(c_18,plain,
    ! [Y_8,X_7] :
      ( ~ greater(Y_8,X_7)
      | ~ greater(X_7,Y_8) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_789174,plain,
    ~ greater(very_low,mod1),
    inference(resolution,[status(thm)],[c_789156,c_18]) ).

tff(c_328,plain,
    ! [X_56] :
      ( greater(X_56,very_low)
      | ~ greater(X_56,low) ),
    inference(resolution,[status(thm)],[c_72,c_291]) ).

tff(c_19771,plain,
    ! [X_393,T_394] :
      ( has_immunity(X_393,T_394)
      | ~ smaller_or_equal(age(X_393,T_394),eta)
      | ~ has_endowment(X_393) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_19777,plain,
    ( has_immunity('#skF_3','#skF_5')
    | ~ has_endowment('#skF_3') ),
    inference(resolution,[status(thm)],[c_86,c_19771]) ).

tff(c_19784,plain,
    has_immunity('#skF_3','#skF_5'),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_19777]) ).

tff(c_19789,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_5') = very_low )
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_19784,c_58]) ).

tff(c_19792,plain,
    hazard_of_mortality('#skF_3','#skF_5') = very_low,
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_19789]) ).

tff(c_78,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')) ),
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_149,plain,
    ~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_5')),
    inference(splitLeft,[status(thm)],[c_78]) ).

tff(c_19801,plain,
    ~ greater(hazard_of_mortality('#skF_3','#skF_6'),very_low),
    inference(demodulation,[status(thm),theory(equality)],[c_19792,c_149]) ).

tff(c_19820,plain,
    ~ greater(hazard_of_mortality('#skF_3','#skF_6'),low),
    inference(resolution,[status(thm)],[c_328,c_19801]) ).

tff(c_789111,plain,
    ( greater(mod1,hazard_of_mortality('#skF_3','#skF_6'))
    | ( hazard_of_mortality('#skF_3','#skF_6') = mod1 ) ),
    inference(resolution,[status(thm)],[c_789038,c_19820]) ).

tff(c_829310,plain,
    hazard_of_mortality('#skF_3','#skF_6') = mod1,
    inference(splitLeft,[status(thm)],[c_789111]) ).

tff(c_76,plain,
    greater(mod2,low),
    inference(cnfTransformation,[status(thm)],[f_217]) ).

tff(c_379,plain,
    ! [X_64] :
      ( greater(X_64,low)
      | ~ greater(X_64,mod2) ),
    inference(resolution,[status(thm)],[c_76,c_291]) ).

tff(c_789513,plain,
    ! [Y_6626] :
      ( greater(Y_6626,low)
      | greater(mod2,Y_6626)
      | ( mod2 = Y_6626 ) ),
    inference(resolution,[status(thm)],[c_171,c_379]) ).

tff(c_789600,plain,
    ( greater(mod2,very_low)
    | ( very_low = mod2 ) ),
    inference(resolution,[status(thm)],[c_789513,c_145]) ).

tff(c_789613,plain,
    very_low = mod2,
    inference(splitLeft,[status(thm)],[c_789600]) ).

tff(c_789640,plain,
    ~ greater(mod2,low),
    inference(demodulation,[status(thm),theory(equality)],[c_789613,c_145]) ).

tff(c_789645,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_76,c_789640]) ).

tff(c_789647,plain,
    very_low != mod2,
    inference(splitRight,[status(thm)],[c_789600]) ).

tff(c_19822,plain,
    ( greater(very_low,hazard_of_mortality('#skF_3','#skF_6'))
    | ( hazard_of_mortality('#skF_3','#skF_6') = very_low ) ),
    inference(resolution,[status(thm)],[c_171,c_19801]) ).

tff(c_828422,plain,
    hazard_of_mortality('#skF_3','#skF_6') = very_low,
    inference(splitLeft,[status(thm)],[c_19822]) ).

tff(c_74,plain,
    greater(high,mod2),
    inference(cnfTransformation,[status(thm)],[f_216]) ).

tff(c_355,plain,
    ( greater(high,low)
    | ( low = high ) ),
    inference(resolution,[status(thm)],[c_171,c_340]) ).

tff(c_357,plain,
    low = high,
    inference(splitLeft,[status(thm)],[c_355]) ).

tff(c_143,plain,
    ~ greater(low,mod2),
    inference(resolution,[status(thm)],[c_76,c_114]) ).

tff(c_359,plain,
    ~ greater(high,mod2),
    inference(demodulation,[status(thm),theory(equality)],[c_357,c_143]) ).

tff(c_367,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_74,c_359]) ).

tff(c_368,plain,
    greater(high,low),
    inference(splitRight,[status(thm)],[c_355]) ).

tff(c_451,plain,
    ! [X_70] :
      ( ~ greater(mod1,X_70)
      | ~ greater(X_70,high) ),
    inference(resolution,[status(thm)],[c_331,c_18]) ).

tff(c_454,plain,
    ( ~ greater(very_low,high)
    | ~ greater(mod1,low) ),
    inference(resolution,[status(thm)],[c_328,c_451]) ).

tff(c_480,plain,
    ~ greater(very_low,high),
    inference(demodulation,[status(thm),theory(equality)],[c_70,c_454]) ).

tff(c_495,plain,
    ( greater(high,very_low)
    | ( very_low = high ) ),
    inference(resolution,[status(thm)],[c_171,c_480]) ).

tff(c_498,plain,
    very_low = high,
    inference(splitLeft,[status(thm)],[c_495]) ).

tff(c_502,plain,
    ~ greater(high,low),
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_145]) ).

tff(c_506,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_368,c_502]) ).

tff(c_508,plain,
    very_low != high,
    inference(splitRight,[status(thm)],[c_495]) ).

tff(c_789157,plain,
    very_low != mod1,
    inference(splitRight,[status(thm)],[c_789117]) ).

tff(c_789778,plain,
    ! [X_6631,T_6632] :
      ( ( hazard_of_mortality(X_6631,T_6632) = high )
      | positional_advantage(X_6631,T_6632)
      | is_aligned(X_6631,T_6632)
      | has_immunity(X_6631,T_6632)
      | ~ organization(X_6631) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_64,plain,
    ! [X_26,T_27] :
      ( ( hazard_of_mortality(X_26,T_27) = mod1 )
      | ~ positional_advantage(X_26,T_27)
      | is_aligned(X_26,T_27)
      | has_immunity(X_26,T_27)
      | ~ organization(X_26) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_789786,plain,
    ! [X_6631,T_6632] :
      ( ( hazard_of_mortality(X_6631,T_6632) = mod1 )
      | ( hazard_of_mortality(X_6631,T_6632) = high )
      | is_aligned(X_6631,T_6632)
      | has_immunity(X_6631,T_6632)
      | ~ organization(X_6631) ),
    inference(resolution,[status(thm)],[c_789778,c_64]) ).

tff(c_84,plain,
    greater(age('#skF_3','#skF_6'),sigma),
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_789648,plain,
    ! [X_6627,T0_6628,T_6629] :
      ( dissimilar(X_6627,T0_6628,T_6629)
      | ~ greater(age(X_6627,T_6629),sigma)
      | ( age(X_6627,T0_6628) != zero )
      | ~ organization(X_6627) ),
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_789656,plain,
    ! [T0_6628] :
      ( dissimilar('#skF_3',T0_6628,'#skF_6')
      | ( age('#skF_3',T0_6628) != zero )
      | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_84,c_789648]) ).

tff(c_789694,plain,
    ! [T0_6630] :
      ( dissimilar('#skF_3',T0_6630,'#skF_6')
      | ( age('#skF_3',T0_6630) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_789656]) ).

tff(c_40,plain,
    ! [X_18,T_20,T0_19] :
      ( ~ is_aligned(X_18,T_20)
      | ~ is_aligned(X_18,T0_19)
      | ~ dissimilar(X_18,T0_19,T_20) ),
    inference(cnfTransformation,[status(thm)],[f_150]) ).

tff(c_789710,plain,
    ! [T0_6630] :
      ( ~ is_aligned('#skF_3','#skF_6')
      | ~ is_aligned('#skF_3',T0_6630)
      | ( age('#skF_3',T0_6630) != zero ) ),
    inference(resolution,[status(thm)],[c_789694,c_40]) ).

tff(c_828921,plain,
    ~ is_aligned('#skF_3','#skF_6'),
    inference(splitLeft,[status(thm)],[c_789710]) ).

tff(c_828924,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_6') = mod1 )
    | ( hazard_of_mortality('#skF_3','#skF_6') = high )
    | has_immunity('#skF_3','#skF_6')
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_789786,c_828921]) ).

tff(c_828930,plain,
    ( ( very_low = mod1 )
    | ( very_low = high )
    | has_immunity('#skF_3','#skF_6') ),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_828422,c_828422,c_828924]) ).

tff(c_828932,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_597,c_508,c_789157,c_828930]) ).

tff(c_828934,plain,
    is_aligned('#skF_3','#skF_6'),
    inference(splitRight,[status(thm)],[c_789710]) ).

tff(c_62,plain,
    ! [X_26,T_27] :
      ( ( hazard_of_mortality(X_26,T_27) = mod2 )
      | positional_advantage(X_26,T_27)
      | ~ is_aligned(X_26,T_27)
      | has_immunity(X_26,T_27)
      | ~ organization(X_26) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_789249,plain,
    ! [X_6620,T_6621] :
      ( ( hazard_of_mortality(X_6620,T_6621) = low )
      | ~ positional_advantage(X_6620,T_6621)
      | ~ is_aligned(X_6620,T_6621)
      | has_immunity(X_6620,T_6621)
      | ~ organization(X_6620) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_789253,plain,
    ! [X_26,T_27] :
      ( ( hazard_of_mortality(X_26,T_27) = low )
      | ( hazard_of_mortality(X_26,T_27) = mod2 )
      | ~ is_aligned(X_26,T_27)
      | has_immunity(X_26,T_27)
      | ~ organization(X_26) ),
    inference(resolution,[status(thm)],[c_62,c_789249]) ).

tff(c_828939,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_6') = low )
    | ( hazard_of_mortality('#skF_3','#skF_6') = mod2 )
    | has_immunity('#skF_3','#skF_6')
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_828934,c_789253]) ).

tff(c_828945,plain,
    ( ( very_low = low )
    | ( very_low = mod2 )
    | has_immunity('#skF_3','#skF_6') ),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_828422,c_828422,c_828939]) ).

tff(c_828946,plain,
    very_low = low,
    inference(negUnitSimplification,[status(thm)],[c_597,c_789647,c_828945]) ).

tff(c_828981,plain,
    greater(low,low),
    inference(demodulation,[status(thm),theory(equality)],[c_828946,c_72]) ).

tff(c_829008,plain,
    ~ greater(low,low),
    inference(resolution,[status(thm)],[c_828981,c_18]) ).

tff(c_829023,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_828981,c_829008]) ).

tff(c_829024,plain,
    greater(very_low,hazard_of_mortality('#skF_3','#skF_6')),
    inference(splitRight,[status(thm)],[c_19822]) ).

tff(c_829313,plain,
    greater(very_low,mod1),
    inference(demodulation,[status(thm),theory(equality)],[c_829310,c_829024]) ).

tff(c_829322,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_789174,c_829313]) ).

tff(c_829324,plain,
    hazard_of_mortality('#skF_3','#skF_6') != mod1,
    inference(splitRight,[status(thm)],[c_789111]) ).

tff(c_19839,plain,
    ( greater(low,hazard_of_mortality('#skF_3','#skF_6'))
    | ( hazard_of_mortality('#skF_3','#skF_6') = low ) ),
    inference(resolution,[status(thm)],[c_171,c_19820]) ).

tff(c_829580,plain,
    hazard_of_mortality('#skF_3','#skF_6') = low,
    inference(splitLeft,[status(thm)],[c_19839]) ).

tff(c_829587,plain,
    greater(very_low,low),
    inference(demodulation,[status(thm),theory(equality)],[c_829580,c_829024]) ).

tff(c_829597,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_145,c_829587]) ).

tff(c_829599,plain,
    hazard_of_mortality('#skF_3','#skF_6') != low,
    inference(splitRight,[status(thm)],[c_19839]) ).

tff(c_46,plain,
    ! [X_18,T0_19,T_20] :
      ( is_aligned(X_18,T0_19)
      | is_aligned(X_18,T_20)
      | ~ dissimilar(X_18,T0_19,T_20) ),
    inference(cnfTransformation,[status(thm)],[f_150]) ).

tff(c_789709,plain,
    ! [T0_6630] :
      ( is_aligned('#skF_3',T0_6630)
      | is_aligned('#skF_3','#skF_6')
      | ( age('#skF_3',T0_6630) != zero ) ),
    inference(resolution,[status(thm)],[c_789694,c_46]) ).

tff(c_829740,plain,
    is_aligned('#skF_3','#skF_6'),
    inference(splitLeft,[status(thm)],[c_789709]) ).

tff(c_829745,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_6') = low )
    | ( hazard_of_mortality('#skF_3','#skF_6') = mod2 )
    | has_immunity('#skF_3','#skF_6')
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_829740,c_789253]) ).

tff(c_829751,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_6') = low )
    | ( hazard_of_mortality('#skF_3','#skF_6') = mod2 )
    | has_immunity('#skF_3','#skF_6') ),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_829745]) ).

tff(c_829752,plain,
    hazard_of_mortality('#skF_3','#skF_6') = mod2,
    inference(negUnitSimplification,[status(thm)],[c_597,c_829599,c_829751]) ).

tff(c_829598,plain,
    greater(low,hazard_of_mortality('#skF_3','#skF_6')),
    inference(splitRight,[status(thm)],[c_19839]) ).

tff(c_829754,plain,
    greater(low,mod2),
    inference(demodulation,[status(thm),theory(equality)],[c_829752,c_829598]) ).

tff(c_829771,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_143,c_829754]) ).

tff(c_829773,plain,
    ~ is_aligned('#skF_3','#skF_6'),
    inference(splitRight,[status(thm)],[c_789709]) ).

tff(c_829776,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_6') = mod1 )
    | ( hazard_of_mortality('#skF_3','#skF_6') = high )
    | has_immunity('#skF_3','#skF_6')
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_789786,c_829773]) ).

tff(c_829782,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_6') = mod1 )
    | ( hazard_of_mortality('#skF_3','#skF_6') = high )
    | has_immunity('#skF_3','#skF_6') ),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_829776]) ).

tff(c_829783,plain,
    hazard_of_mortality('#skF_3','#skF_6') = high,
    inference(negUnitSimplification,[status(thm)],[c_597,c_829324,c_829782]) ).

tff(c_829788,plain,
    greater(low,high),
    inference(demodulation,[status(thm),theory(equality)],[c_829783,c_829598]) ).

tff(c_829805,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_340,c_829788]) ).

tff(c_829806,plain,
    hazard_of_mortality('#skF_3','#skF_5') != hazard_of_mortality('#skF_3','#skF_4'),
    inference(splitRight,[status(thm)],[c_78]) ).

tff(c_881724,plain,
    hazard_of_mortality('#skF_3','#skF_4') != very_low,
    inference(demodulation,[status(thm),theory(equality)],[c_881721,c_829806]) ).

tff(c_92,plain,
    greater(eta,zero),
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_16,plain,
    ! [X_5,Y_6] :
      ( smaller(X_5,Y_6)
      | ~ greater(Y_6,X_5) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

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_60]) ).

tff(c_98,plain,
    age('#skF_3','#skF_4') = zero,
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_881709,plain,
    ( has_immunity('#skF_3','#skF_4')
    | ~ smaller_or_equal(zero,eta)
    | ~ has_endowment('#skF_3') ),
    inference(superposition,[status(thm),theory(equality)],[c_98,c_881700]) ).

tff(c_881715,plain,
    ( has_immunity('#skF_3','#skF_4')
    | ~ smaller_or_equal(zero,eta) ),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_881709]) ).

tff(c_881748,plain,
    ~ smaller_or_equal(zero,eta),
    inference(splitLeft,[status(thm)],[c_881715]) ).

tff(c_881752,plain,
    ~ smaller(zero,eta),
    inference(resolution,[status(thm)],[c_6,c_881748]) ).

tff(c_881759,plain,
    ~ greater(eta,zero),
    inference(resolution,[status(thm)],[c_16,c_881752]) ).

tff(c_881766,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_881759]) ).

tff(c_881767,plain,
    has_immunity('#skF_3','#skF_4'),
    inference(splitRight,[status(thm)],[c_881715]) ).

tff(c_881771,plain,
    ( ( hazard_of_mortality('#skF_3','#skF_4') = very_low )
    | ~ organization('#skF_3') ),
    inference(resolution,[status(thm)],[c_881767,c_58]) ).

tff(c_881774,plain,
    hazard_of_mortality('#skF_3','#skF_4') = very_low,
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_881771]) ).

tff(c_881776,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_881724,c_881774]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : MGT065+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % 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
% 0.13/0.35  % Computer : n031.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 20:55:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 82.70/66.87  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.70/66.88  
% 82.70/66.88  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 82.70/66.93  
% 82.70/66.93  Inference rules
% 82.70/66.93  ----------------------
% 82.70/66.93  #Ref     : 0
% 82.70/66.93  #Sup     : 168374
% 82.70/66.93  #Fact    : 411
% 82.70/66.93  #Define  : 0
% 82.70/66.93  #Split   : 300
% 82.70/66.93  #Chain   : 0
% 82.70/66.93  #Close   : 0
% 82.70/66.93  
% 82.70/66.93  Ordering : KBO
% 82.70/66.93  
% 82.70/66.93  Simplification rules
% 82.70/66.93  ----------------------
% 82.70/66.93  #Subsume      : 107030
% 82.70/66.93  #Demod        : 124041
% 82.70/66.93  #Tautology    : 45500
% 82.70/66.93  #SimpNegUnit  : 43359
% 82.70/66.93  #BackRed      : 4876
% 82.70/66.93  
% 82.70/66.93  #Partial instantiations: 8619
% 82.70/66.93  #Strategies tried      : 1
% 82.70/66.93  
% 82.70/66.93  Timing (in seconds)
% 82.70/66.93  ----------------------
% 82.96/66.93  Preprocessing        : 0.59
% 82.96/66.93  Parsing              : 0.25
% 82.96/66.93  CNF conversion       : 0.04
% 82.96/66.93  Main loop            : 65.25
% 82.96/66.93  Inferencing          : 8.35
% 82.96/66.93  Reduction            : 25.56
% 82.96/66.93  Demodulation         : 18.57
% 82.96/66.93  BG Simplification    : 0.34
% 82.96/66.93  Subsumption          : 29.35
% 82.96/66.93  Abstraction          : 1.18
% 82.96/66.93  MUC search           : 0.00
% 82.96/66.93  Cooper               : 0.00
% 82.96/66.93  Total                : 65.91
% 82.96/66.93  Index Insertion      : 0.00
% 82.96/66.93  Index Deletion       : 0.00
% 82.96/66.93  Index Matching       : 0.00
% 82.96/66.93  BG Taut test         : 0.00
%------------------------------------------------------------------------------