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 : n018.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   : Unsatisfiable 9.10s 3.47s
% Output   : CNFRefutation 9.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  166 (  60 unt;  21 typ;   0 def)
%            Number of atoms       :  323 (  48 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  352 ( 174   ~; 178   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  13   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  146 (; 146   !;   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 > sk1 > zero > sk6 > sk5 > sk4 > sk3 > sk2 > sigma > eta

%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(sk1,type,
    sk1: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(sk3,type,
    sk3: $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_310,axiom,
    organization(sk2),
    file(unknown,unknown) ).

tff(f_265,axiom,
    ! [A,B] :
      ( ~ organization(A)
      | ( age(A,B) != zero )
      | is_aligned(A,B) ),
    file(unknown,unknown) ).

tff(f_311,axiom,
    has_endowment(sk2),
    file(unknown,unknown) ).

tff(f_314,axiom,
    greater(age(sk2,sk5),eta),
    file(unknown,unknown) ).

tff(f_137,axiom,
    ! [A,B] :
      ( ~ has_endowment(A)
      | ~ greater(age(A,B),eta)
      | ~ has_immunity(A,B) ),
    file(unknown,unknown) ).

tff(f_318,axiom,
    greater(eta,zero),
    file(unknown,unknown) ).

tff(f_93,axiom,
    ! [A,B] :
      ( ~ greater(A,B)
      | smaller(B,A) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [A,B] :
      ( ~ smaller(A,B)
      | smaller_or_equal(A,B) ),
    file(unknown,unknown) ).

tff(f_312,axiom,
    age(sk2,sk3) = zero,
    file(unknown,unknown) ).

tff(f_128,axiom,
    ! [A,B] :
      ( ~ has_endowment(A)
      | ~ smaller_or_equal(age(A,B),eta)
      | has_immunity(A,B) ),
    file(unknown,unknown) ).

tff(f_196,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ has_immunity(A,B)
      | has_immunity(A,C)
      | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ),
    file(unknown,unknown) ).

tff(f_316,axiom,
    greater(age(sk2,sk6),sigma),
    file(unknown,unknown) ).

tff(f_286,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ( age(A,B) != zero )
      | ~ greater(age(A,C),sigma)
      | dissimilar(A,B,C) ),
    file(unknown,unknown) ).

tff(f_217,axiom,
    ! [A,B,C] :
      ( ~ dissimilar(A,B,C)
      | ~ is_aligned(A,B)
      | ~ is_aligned(A,C) ),
    file(unknown,unknown) ).

tff(f_317,axiom,
    greater(sigma,eta),
    file(unknown,unknown) ).

tff(f_107,axiom,
    ! [A,B,C] :
      ( ~ greater(A,B)
      | ~ greater(B,C)
      | greater(A,C) ),
    file(unknown,unknown) ).

tff(f_208,axiom,
    ! [A,B,C] :
      ( ~ dissimilar(A,B,C)
      | is_aligned(A,B)
      | is_aligned(A,C) ),
    file(unknown,unknown) ).

tff(f_275,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ is_aligned(A,B)
      | is_aligned(A,C)
      | greater(capability(A,B),capability(A,C)) ),
    file(unknown,unknown) ).

tff(f_309,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | has_immunity(A,B)
      | has_immunity(A,C)
      | ~ greater(capability(A,C),capability(A,B))
      | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) ),
    file(unknown,unknown) ).

tff(f_313,axiom,
    smaller_or_equal(age(sk2,sk4),eta),
    file(unknown,unknown) ).

tff(f_186,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ has_immunity(A,B)
      | ~ has_immunity(A,C)
      | ( hazard_of_mortality(A,B) = hazard_of_mortality(A,C) ) ),
    file(unknown,unknown) ).

tff(f_326,axiom,
    ( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
    | ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | ( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ) ),
    file(unknown,unknown) ).

tff(f_237,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ~ is_aligned(A,B)
      | is_aligned(A,C)
      | dissimilar(A,B,C) ),
    file(unknown,unknown) ).

tff(f_297,axiom,
    ! [A,B,C] :
      ( ~ organization(A)
      | ( age(A,B) != zero )
      | ~ dissimilar(A,B,C)
      | greater(age(A,C),sigma) ),
    file(unknown,unknown) ).

tff(f_315,axiom,
    smaller_or_equal(age(sk2,sk5),sigma),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ! [A,B] :
      ( ~ smaller_or_equal(A,B)
      | smaller(A,B)
      | ( A = B ) ),
    file(unknown,unknown) ).

tff(f_88,axiom,
    ! [A,B] :
      ( ~ smaller(A,B)
      | greater(B,A) ),
    file(unknown,unknown) ).

tff(f_99,axiom,
    ! [A,B] :
      ( ~ greater(A,B)
      | ~ greater(B,A) ),
    file(unknown,unknown) ).

tff(c_66,plain,
    organization(sk2),
    inference(cnfTransformation,[status(thm)],[f_310]) ).

tff(c_56,plain,
    ! [A_60,B_61] :
      ( is_aligned(A_60,B_61)
      | ( age(A_60,B_61) != zero )
      | ~ organization(A_60) ),
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_68,plain,
    has_endowment(sk2),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_74,plain,
    greater(age(sk2,sk5),eta),
    inference(cnfTransformation,[status(thm)],[f_314]) ).

tff(c_261,plain,
    ! [A_110,B_111] :
      ( ~ has_immunity(A_110,B_111)
      | ~ greater(age(A_110,B_111),eta)
      | ~ has_endowment(A_110) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_273,plain,
    ( ~ has_immunity(sk2,sk5)
    | ~ has_endowment(sk2) ),
    inference(resolution,[status(thm)],[c_74,c_261]) ).

tff(c_284,plain,
    ~ has_immunity(sk2,sk5),
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_273]) ).

tff(c_82,plain,
    greater(eta,zero),
    inference(cnfTransformation,[status(thm)],[f_318]) ).

tff(c_16,plain,
    ! [B_16,A_15] :
      ( smaller(B_16,A_15)
      | ~ greater(A_15,B_16) ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_4,plain,
    ! [A_3,B_4] :
      ( smaller_or_equal(A_3,B_4)
      | ~ smaller(A_3,B_4) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_70,plain,
    age(sk2,sk3) = zero,
    inference(cnfTransformation,[status(thm)],[f_312]) ).

tff(c_298,plain,
    ! [A_113,B_114] :
      ( has_immunity(A_113,B_114)
      | ~ smaller_or_equal(age(A_113,B_114),eta)
      | ~ has_endowment(A_113) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_307,plain,
    ( has_immunity(sk2,sk3)
    | ~ smaller_or_equal(zero,eta)
    | ~ has_endowment(sk2) ),
    inference(superposition,[status(thm),theory(equality)],[c_70,c_298]) ).

tff(c_313,plain,
    ( has_immunity(sk2,sk3)
    | ~ smaller_or_equal(zero,eta) ),
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_307]) ).

tff(c_314,plain,
    ~ smaller_or_equal(zero,eta),
    inference(splitLeft,[status(thm)],[c_313]) ).

tff(c_318,plain,
    ~ smaller(zero,eta),
    inference(resolution,[status(thm)],[c_4,c_314]) ).

tff(c_324,plain,
    ~ greater(eta,zero),
    inference(resolution,[status(thm)],[c_16,c_318]) ).

tff(c_331,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_82,c_324]) ).

tff(c_332,plain,
    has_immunity(sk2,sk3),
    inference(splitRight,[status(thm)],[c_313]) ).

tff(c_40,plain,
    ! [A_36,C_38,B_37] :
      ( greater(hazard_of_mortality(A_36,C_38),hazard_of_mortality(A_36,B_37))
      | has_immunity(A_36,C_38)
      | ~ has_immunity(A_36,B_37)
      | ~ organization(A_36) ),
    inference(cnfTransformation,[status(thm)],[f_196]) ).

tff(c_78,plain,
    greater(age(sk2,sk6),sigma),
    inference(cnfTransformation,[status(thm)],[f_316]) ).

tff(c_7464,plain,
    ! [A_280,B_281,C_282] :
      ( dissimilar(A_280,B_281,C_282)
      | ~ greater(age(A_280,C_282),sigma)
      | ( age(A_280,B_281) != zero )
      | ~ organization(A_280) ),
    inference(cnfTransformation,[status(thm)],[f_286]) ).

tff(c_7474,plain,
    ! [B_281] :
      ( dissimilar(sk2,B_281,sk6)
      | ( age(sk2,B_281) != zero )
      | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_78,c_7464]) ).

tff(c_7486,plain,
    ! [B_283] :
      ( dissimilar(sk2,B_283,sk6)
      | ( age(sk2,B_283) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_7474]) ).

tff(c_46,plain,
    ! [A_45,C_47,B_46] :
      ( ~ is_aligned(A_45,C_47)
      | ~ is_aligned(A_45,B_46)
      | ~ dissimilar(A_45,B_46,C_47) ),
    inference(cnfTransformation,[status(thm)],[f_217]) ).

tff(c_7502,plain,
    ! [B_283] :
      ( ~ is_aligned(sk2,sk6)
      | ~ is_aligned(sk2,B_283)
      | ( age(sk2,B_283) != zero ) ),
    inference(resolution,[status(thm)],[c_7486,c_46]) ).

tff(c_7877,plain,
    ~ is_aligned(sk2,sk6),
    inference(splitLeft,[status(thm)],[c_7502]) ).

tff(c_80,plain,
    greater(sigma,eta),
    inference(cnfTransformation,[status(thm)],[f_317]) ).

tff(c_187,plain,
    ! [A_100,C_101,B_102] :
      ( greater(A_100,C_101)
      | ~ greater(B_102,C_101)
      | ~ greater(A_100,B_102) ),
    inference(cnfTransformation,[status(thm)],[f_107]) ).

tff(c_206,plain,
    ! [A_103] :
      ( greater(A_103,eta)
      | ~ greater(A_103,sigma) ),
    inference(resolution,[status(thm)],[c_80,c_187]) ).

tff(c_220,plain,
    greater(age(sk2,sk6),eta),
    inference(resolution,[status(thm)],[c_78,c_206]) ).

tff(c_264,plain,
    ( ~ has_immunity(sk2,sk6)
    | ~ has_endowment(sk2) ),
    inference(resolution,[status(thm)],[c_220,c_261]) ).

tff(c_279,plain,
    ~ has_immunity(sk2,sk6),
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_264]) ).

tff(c_899,plain,
    ! [A_152,B_153,C_154] :
      ( dissimilar(A_152,B_153,C_154)
      | ~ greater(age(A_152,C_154),sigma)
      | ( age(A_152,B_153) != zero )
      | ~ organization(A_152) ),
    inference(cnfTransformation,[status(thm)],[f_286]) ).

tff(c_907,plain,
    ! [B_153] :
      ( dissimilar(sk2,B_153,sk6)
      | ( age(sk2,B_153) != zero )
      | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_78,c_899]) ).

tff(c_917,plain,
    ! [B_155] :
      ( dissimilar(sk2,B_155,sk6)
      | ( age(sk2,B_155) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_907]) ).

tff(c_44,plain,
    ! [A_42,C_44,B_43] :
      ( is_aligned(A_42,C_44)
      | is_aligned(A_42,B_43)
      | ~ dissimilar(A_42,B_43,C_44) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_932,plain,
    ! [B_155] :
      ( is_aligned(sk2,sk6)
      | is_aligned(sk2,B_155)
      | ( age(sk2,B_155) != zero ) ),
    inference(resolution,[status(thm)],[c_917,c_44]) ).

tff(c_1198,plain,
    is_aligned(sk2,sk6),
    inference(splitLeft,[status(thm)],[c_932]) ).

tff(c_933,plain,
    ! [B_155] :
      ( ~ is_aligned(sk2,sk6)
      | ~ is_aligned(sk2,B_155)
      | ( age(sk2,B_155) != zero ) ),
    inference(resolution,[status(thm)],[c_917,c_46]) ).

tff(c_1201,plain,
    ! [B_167] :
      ( ~ is_aligned(sk2,B_167)
      | ( age(sk2,B_167) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1198,c_933]) ).

tff(c_1208,plain,
    ! [B_61] :
      ( ( age(sk2,B_61) != zero )
      | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_56,c_1201]) ).

tff(c_1212,plain,
    ! [B_61] : ( age(sk2,B_61) != zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_1208]) ).

tff(c_1214,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1212,c_70]) ).

tff(c_1216,plain,
    ~ is_aligned(sk2,sk6),
    inference(splitRight,[status(thm)],[c_932]) ).

tff(c_58,plain,
    ! [A_62,B_63,C_64] :
      ( greater(capability(A_62,B_63),capability(A_62,C_64))
      | is_aligned(A_62,C_64)
      | ~ is_aligned(A_62,B_63)
      | ~ organization(A_62) ),
    inference(cnfTransformation,[status(thm)],[f_275]) ).

tff(c_1081,plain,
    ! [A_160,B_161,C_162] :
      ( greater(hazard_of_mortality(A_160,B_161),hazard_of_mortality(A_160,C_162))
      | ~ greater(capability(A_160,C_162),capability(A_160,B_161))
      | has_immunity(A_160,C_162)
      | has_immunity(A_160,B_161)
      | ~ organization(A_160) ),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_6318,plain,
    ! [A_262,C_263,B_264] :
      ( greater(hazard_of_mortality(A_262,C_263),hazard_of_mortality(A_262,B_264))
      | has_immunity(A_262,B_264)
      | has_immunity(A_262,C_263)
      | is_aligned(A_262,C_263)
      | ~ is_aligned(A_262,B_264)
      | ~ organization(A_262) ),
    inference(resolution,[status(thm)],[c_58,c_1081]) ).

tff(c_72,plain,
    smaller_or_equal(age(sk2,sk4),eta),
    inference(cnfTransformation,[status(thm)],[f_313]) ).

tff(c_304,plain,
    ( has_immunity(sk2,sk4)
    | ~ has_endowment(sk2) ),
    inference(resolution,[status(thm)],[c_72,c_298]) ).

tff(c_311,plain,
    has_immunity(sk2,sk4),
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_304]) ).

tff(c_555,plain,
    ! [A_131,C_132,B_133] :
      ( ( hazard_of_mortality(A_131,C_132) = hazard_of_mortality(A_131,B_133) )
      | ~ has_immunity(A_131,C_132)
      | ~ has_immunity(A_131,B_133)
      | ~ organization(A_131) ),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_559,plain,
    ! [B_133] :
      ( ( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,B_133) )
      | ~ has_immunity(sk2,B_133)
      | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_311,c_555]) ).

tff(c_771,plain,
    ! [B_145] :
      ( ( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,B_145) )
      | ~ has_immunity(sk2,B_145) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_559]) ).

tff(c_778,plain,
    hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
    inference(resolution,[status(thm)],[c_332,c_771]) ).

tff(c_84,plain,
    ( ( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) )
    | ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
    inference(cnfTransformation,[status(thm)],[f_326]) ).

tff(c_983,plain,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3))
    | ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_778,c_778,c_84]) ).

tff(c_984,plain,
    ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
    inference(splitLeft,[status(thm)],[c_983]) ).

tff(c_6352,plain,
    ( has_immunity(sk2,sk5)
    | has_immunity(sk2,sk6)
    | is_aligned(sk2,sk6)
    | ~ is_aligned(sk2,sk5)
    | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_6318,c_984]) ).

tff(c_6383,plain,
    ( has_immunity(sk2,sk5)
    | has_immunity(sk2,sk6)
    | is_aligned(sk2,sk6)
    | ~ is_aligned(sk2,sk5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_6352]) ).

tff(c_6384,plain,
    ~ is_aligned(sk2,sk5),
    inference(negUnitSimplification,[status(thm)],[c_1216,c_279,c_284,c_6383]) ).

tff(c_1215,plain,
    ! [B_155] :
      ( is_aligned(sk2,B_155)
      | ( age(sk2,B_155) != zero ) ),
    inference(splitRight,[status(thm)],[c_932]) ).

tff(c_50,plain,
    ! [A_51,B_52,C_53] :
      ( dissimilar(A_51,B_52,C_53)
      | is_aligned(A_51,C_53)
      | ~ is_aligned(A_51,B_52)
      | ~ organization(A_51) ),
    inference(cnfTransformation,[status(thm)],[f_237]) ).

tff(c_651,plain,
    ! [A_137,C_138,B_139] :
      ( greater(age(A_137,C_138),sigma)
      | ~ dissimilar(A_137,B_139,C_138)
      | ( age(A_137,B_139) != zero )
      | ~ organization(A_137) ),
    inference(cnfTransformation,[status(thm)],[f_297]) ).

tff(c_3118,plain,
    ! [A_209,C_210,B_211] :
      ( greater(age(A_209,C_210),sigma)
      | ( age(A_209,B_211) != zero )
      | is_aligned(A_209,C_210)
      | ~ is_aligned(A_209,B_211)
      | ~ organization(A_209) ),
    inference(resolution,[status(thm)],[c_50,c_651]) ).

tff(c_3120,plain,
    ! [C_210,B_155] :
      ( greater(age(sk2,C_210),sigma)
      | is_aligned(sk2,C_210)
      | ~ organization(sk2)
      | ( age(sk2,B_155) != zero ) ),
    inference(resolution,[status(thm)],[c_1215,c_3118]) ).

tff(c_3125,plain,
    ! [C_210,B_155] :
      ( greater(age(sk2,C_210),sigma)
      | is_aligned(sk2,C_210)
      | ( age(sk2,B_155) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_3120]) ).

tff(c_7212,plain,
    ! [B_155] : ( age(sk2,B_155) != zero ),
    inference(splitLeft,[status(thm)],[c_3125]) ).

tff(c_7214,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7212,c_70]) ).

tff(c_7222,plain,
    ! [C_272] :
      ( greater(age(sk2,C_272),sigma)
      | is_aligned(sk2,C_272) ),
    inference(splitRight,[status(thm)],[c_3125]) ).

tff(c_76,plain,
    smaller_or_equal(age(sk2,sk5),sigma),
    inference(cnfTransformation,[status(thm)],[f_315]) ).

tff(c_114,plain,
    ! [B_90,A_91] :
      ( ( B_90 = A_91 )
      | smaller(A_91,B_90)
      | ~ smaller_or_equal(A_91,B_90) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_128,plain,
    ( ( age(sk2,sk5) = sigma )
    | smaller(age(sk2,sk5),sigma) ),
    inference(resolution,[status(thm)],[c_76,c_114]) ).

tff(c_646,plain,
    smaller(age(sk2,sk5),sigma),
    inference(splitLeft,[status(thm)],[c_128]) ).

tff(c_14,plain,
    ! [B_14,A_13] :
      ( greater(B_14,A_13)
      | ~ smaller(A_13,B_14) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_650,plain,
    greater(sigma,age(sk2,sk5)),
    inference(resolution,[status(thm)],[c_646,c_14]) ).

tff(c_18,plain,
    ! [B_18,A_17] :
      ( ~ greater(B_18,A_17)
      | ~ greater(A_17,B_18) ),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_668,plain,
    ~ greater(age(sk2,sk5),sigma),
    inference(resolution,[status(thm)],[c_650,c_18]) ).

tff(c_7280,plain,
    is_aligned(sk2,sk5),
    inference(resolution,[status(thm)],[c_7222,c_668]) ).

tff(c_7346,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6384,c_7280]) ).

tff(c_7347,plain,
    ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)),
    inference(splitRight,[status(thm)],[c_983]) ).

tff(c_7373,plain,
    ( has_immunity(sk2,sk5)
    | ~ has_immunity(sk2,sk3)
    | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_40,c_7347]) ).

tff(c_7382,plain,
    has_immunity(sk2,sk5),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_332,c_7373]) ).

tff(c_7384,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_284,c_7382]) ).

tff(c_7385,plain,
    age(sk2,sk5) = sigma,
    inference(splitRight,[status(thm)],[c_128]) ).

tff(c_7386,plain,
    ~ smaller(age(sk2,sk5),sigma),
    inference(splitRight,[status(thm)],[c_128]) ).

tff(c_7421,plain,
    ~ smaller(sigma,sigma),
    inference(demodulation,[status(thm),theory(equality)],[c_7385,c_7386]) ).

tff(c_7430,plain,
    ~ greater(sigma,sigma),
    inference(resolution,[status(thm)],[c_16,c_7421]) ).

tff(c_7501,plain,
    ! [B_283] :
      ( is_aligned(sk2,sk6)
      | is_aligned(sk2,B_283)
      | ( age(sk2,B_283) != zero ) ),
    inference(resolution,[status(thm)],[c_7486,c_44]) ).

tff(c_7884,plain,
    ! [B_283] :
      ( is_aligned(sk2,B_283)
      | ( age(sk2,B_283) != zero ) ),
    inference(negUnitSimplification,[status(thm)],[c_7877,c_7501]) ).

tff(c_7431,plain,
    ! [A_276,C_277,B_278] :
      ( greater(age(A_276,C_277),sigma)
      | ~ dissimilar(A_276,B_278,C_277)
      | ( age(A_276,B_278) != zero )
      | ~ organization(A_276) ),
    inference(cnfTransformation,[status(thm)],[f_297]) ).

tff(c_10456,plain,
    ! [A_361,C_362,B_363] :
      ( greater(age(A_361,C_362),sigma)
      | ( age(A_361,B_363) != zero )
      | is_aligned(A_361,C_362)
      | ~ is_aligned(A_361,B_363)
      | ~ organization(A_361) ),
    inference(resolution,[status(thm)],[c_50,c_7431]) ).

tff(c_10458,plain,
    ! [C_362,B_283] :
      ( greater(age(sk2,C_362),sigma)
      | is_aligned(sk2,C_362)
      | ~ organization(sk2)
      | ( age(sk2,B_283) != zero ) ),
    inference(resolution,[status(thm)],[c_7884,c_10456]) ).

tff(c_10463,plain,
    ! [C_362,B_283] :
      ( greater(age(sk2,C_362),sigma)
      | is_aligned(sk2,C_362)
      | ( age(sk2,B_283) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_10458]) ).

tff(c_12217,plain,
    ! [B_283] : ( age(sk2,B_283) != zero ),
    inference(splitLeft,[status(thm)],[c_10463]) ).

tff(c_12219,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12217,c_70]) ).

tff(c_12221,plain,
    ! [C_391] :
      ( greater(age(sk2,C_391),sigma)
      | is_aligned(sk2,C_391) ),
    inference(splitRight,[status(thm)],[c_10463]) ).

tff(c_12286,plain,
    ( greater(sigma,sigma)
    | is_aligned(sk2,sk5) ),
    inference(superposition,[status(thm),theory(equality)],[c_7385,c_12221]) ).

tff(c_12340,plain,
    is_aligned(sk2,sk5),
    inference(negUnitSimplification,[status(thm)],[c_7430,c_12286]) ).

tff(c_7951,plain,
    ! [A_308,B_309,C_310] :
      ( greater(hazard_of_mortality(A_308,B_309),hazard_of_mortality(A_308,C_310))
      | ~ greater(capability(A_308,C_310),capability(A_308,B_309))
      | has_immunity(A_308,C_310)
      | has_immunity(A_308,B_309)
      | ~ organization(A_308) ),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_13198,plain,
    ! [A_413,C_414,B_415] :
      ( greater(hazard_of_mortality(A_413,C_414),hazard_of_mortality(A_413,B_415))
      | has_immunity(A_413,B_415)
      | has_immunity(A_413,C_414)
      | is_aligned(A_413,C_414)
      | ~ is_aligned(A_413,B_415)
      | ~ organization(A_413) ),
    inference(resolution,[status(thm)],[c_58,c_7951]) ).

tff(c_557,plain,
    ! [B_133] :
      ( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,B_133) )
      | ~ has_immunity(sk2,B_133)
      | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_332,c_555]) ).

tff(c_7450,plain,
    ! [B_279] :
      ( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,B_279) )
      | ~ has_immunity(sk2,B_279) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_557]) ).

tff(c_7459,plain,
    hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
    inference(resolution,[status(thm)],[c_311,c_7450]) ).

tff(c_7891,plain,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3))
    | ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7459,c_7459,c_84]) ).

tff(c_7892,plain,
    ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
    inference(splitLeft,[status(thm)],[c_7891]) ).

tff(c_13228,plain,
    ( has_immunity(sk2,sk5)
    | has_immunity(sk2,sk6)
    | is_aligned(sk2,sk6)
    | ~ is_aligned(sk2,sk5)
    | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_13198,c_7892]) ).

tff(c_13259,plain,
    ( has_immunity(sk2,sk5)
    | has_immunity(sk2,sk6)
    | is_aligned(sk2,sk6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_12340,c_13228]) ).

tff(c_13261,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7877,c_279,c_284,c_13259]) ).

tff(c_13262,plain,
    ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)),
    inference(splitRight,[status(thm)],[c_7891]) ).

tff(c_13266,plain,
    ( has_immunity(sk2,sk5)
    | ~ has_immunity(sk2,sk3)
    | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_40,c_13262]) ).

tff(c_13275,plain,
    has_immunity(sk2,sk5),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_332,c_13266]) ).

tff(c_13277,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_284,c_13275]) ).

tff(c_13280,plain,
    ! [B_416] :
      ( ~ is_aligned(sk2,B_416)
      | ( age(sk2,B_416) != zero ) ),
    inference(splitRight,[status(thm)],[c_7502]) ).

tff(c_13287,plain,
    ! [B_61] :
      ( ( age(sk2,B_61) != zero )
      | ~ organization(sk2) ),
    inference(resolution,[status(thm)],[c_56,c_13280]) ).

tff(c_13291,plain,
    ! [B_61] : ( age(sk2,B_61) != zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_66,c_13287]) ).

tff(c_13296,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13291,c_70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : MGT055-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 20:41:36 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 9.10/3.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.10/3.49  
% 9.10/3.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.59/3.54  
% 9.59/3.54  Inference rules
% 9.59/3.54  ----------------------
% 9.59/3.54  #Ref     : 0
% 9.59/3.54  #Sup     : 2761
% 9.59/3.54  #Fact    : 2
% 9.59/3.54  #Define  : 0
% 9.59/3.54  #Split   : 20
% 9.59/3.54  #Chain   : 0
% 9.59/3.54  #Close   : 0
% 9.59/3.54  
% 9.59/3.54  Ordering : KBO
% 9.59/3.54  
% 9.59/3.54  Simplification rules
% 9.59/3.54  ----------------------
% 9.59/3.54  #Subsume      : 1505
% 9.59/3.54  #Demod        : 1969
% 9.59/3.54  #Tautology    : 664
% 9.59/3.54  #SimpNegUnit  : 403
% 9.59/3.54  #BackRed      : 109
% 9.59/3.54  
% 9.59/3.54  #Partial instantiations: 0
% 9.59/3.54  #Strategies tried      : 1
% 9.59/3.54  
% 9.59/3.54  Timing (in seconds)
% 9.59/3.54  ----------------------
% 9.59/3.54  Preprocessing        : 0.56
% 9.59/3.54  Parsing              : 0.24
% 9.59/3.54  CNF conversion       : 0.03
% 9.59/3.54  Main loop            : 1.73
% 9.59/3.54  Inferencing          : 0.57
% 9.59/3.54  Reduction            : 0.59
% 9.59/3.54  Demodulation         : 0.39
% 9.59/3.54  BG Simplification    : 0.05
% 9.59/3.54  Subsumption          : 0.42
% 9.59/3.54  Abstraction          : 0.07
% 9.59/3.54  MUC search           : 0.00
% 9.59/3.54  Cooper               : 0.00
% 9.59/3.54  Total                : 2.38
% 9.59/3.54  Index Insertion      : 0.00
% 9.59/3.54  Index Deletion       : 0.00
% 9.59/3.54  Index Matching       : 0.00
% 9.59/3.54  BG Taut test         : 0.00
%------------------------------------------------------------------------------