TSTP Solution File: MGT056+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT056+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 : n005.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 10:49:45 EDT 2023
% Result : Theorem 7.02s 2.70s
% Output : CNFRefutation 7.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 139 ( 59 unt; 18 typ; 0 def)
% Number of atoms : 236 ( 36 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 221 ( 106 ~; 90 |; 15 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 11 >; 7 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 87 (; 87 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > has_immunity > greater_or_equal > greater > organization > has_endowment > hazard_of_mortality > age > #nlpp > zero > sigma > 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('#skF_2',type,
'#skF_2': $i > $i ).
tff(organization,type,
organization: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(has_endowment,type,
has_endowment: $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(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_183,negated_conjecture,
~ ! [X,T0,T1,T2] :
( ( organization(X)
& has_endowment(X)
& ( age(X,T0) = zero )
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) )
=> ( 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_9) ).
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/sandbox2/benchmark/theBenchmark.p',definition_1) ).
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_82,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
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_88,axiom,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
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_158,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_147,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_54,plain,
has_endowment('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_48,plain,
greater(age('#skF_3','#skF_6'),eta),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_2008,plain,
! [X_121,T_122] :
( ~ has_immunity(X_121,T_122)
| ~ greater(age(X_121,T_122),eta)
| ~ has_endowment(X_121) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_2017,plain,
( ~ has_immunity('#skF_3','#skF_6')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_48,c_2008]) ).
tff(c_2025,plain,
~ has_immunity('#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_2017]) ).
tff(c_56,plain,
organization('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_326,plain,
! [X_56,T_57] :
( ~ has_immunity(X_56,T_57)
| ~ greater(age(X_56,T_57),eta)
| ~ has_endowment(X_56) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_335,plain,
( ~ has_immunity('#skF_3','#skF_6')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_48,c_326]) ).
tff(c_343,plain,
~ has_immunity('#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_335]) ).
tff(c_46,plain,
greater_or_equal(eta,sigma),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_93,plain,
! [Y_39,X_40] :
( ( Y_39 = X_40 )
| greater(X_40,Y_39)
| ~ greater_or_equal(X_40,Y_39) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_106,plain,
( ( sigma = eta )
| greater(eta,sigma) ),
inference(resolution,[status(thm)],[c_46,c_93]) ).
tff(c_108,plain,
greater(eta,sigma),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_112,plain,
! [X_41,Y_42] :
( greater(X_41,Y_42)
| ( Y_42 = X_41 )
| smaller(X_41,Y_42) ),
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_183,plain,
! [Y_51,X_52] :
( greater(Y_51,X_52)
| greater(X_52,Y_51)
| ( Y_51 = X_52 ) ),
inference(resolution,[status(thm)],[c_112,c_14]) ).
tff(c_117,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_139,plain,
! [X_48] :
( greater(X_48,sigma)
| ~ greater(X_48,eta) ),
inference(resolution,[status(thm)],[c_108,c_117]) ).
tff(c_44,plain,
greater(sigma,zero),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_66,plain,
! [Y_31,X_32] :
( ~ greater(Y_31,X_32)
| ~ greater(X_32,Y_31) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_72,plain,
~ greater(zero,sigma),
inference(resolution,[status(thm)],[c_44,c_66]) ).
tff(c_152,plain,
~ greater(zero,eta),
inference(resolution,[status(thm)],[c_139,c_72]) ).
tff(c_235,plain,
( greater(eta,zero)
| ( zero = eta ) ),
inference(resolution,[status(thm)],[c_183,c_152]) ).
tff(c_254,plain,
zero = eta,
inference(splitLeft,[status(thm)],[c_235]) ).
tff(c_274,plain,
~ greater(eta,sigma),
inference(demodulation,[status(thm),theory(equality)],[c_254,c_72]) ).
tff(c_279,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_274]) ).
tff(c_281,plain,
zero != eta,
inference(splitRight,[status(thm)],[c_235]) ).
tff(c_22,plain,
! [X_12,Y_13] :
( greater(X_12,Y_13)
| ( Y_13 = X_12 )
| smaller(X_12,Y_13) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
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_52,plain,
age('#skF_3','#skF_4') = zero,
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_520,plain,
! [X_66,T_67] :
( has_immunity(X_66,T_67)
| ~ smaller_or_equal(age(X_66,T_67),eta)
| ~ has_endowment(X_66) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_529,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_52,c_520]) ).
tff(c_535,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_529]) ).
tff(c_536,plain,
~ smaller_or_equal(zero,eta),
inference(splitLeft,[status(thm)],[c_535]) ).
tff(c_540,plain,
~ smaller(zero,eta),
inference(resolution,[status(thm)],[c_6,c_536]) ).
tff(c_544,plain,
( greater(zero,eta)
| ( zero = eta ) ),
inference(resolution,[status(thm)],[c_22,c_540]) ).
tff(c_551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281,c_152,c_544]) ).
tff(c_552,plain,
has_immunity('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_535]) ).
tff(c_1846,plain,
! [X_107,T_108,T0_109] :
( greater(hazard_of_mortality(X_107,T_108),hazard_of_mortality(X_107,T0_109))
| has_immunity(X_107,T_108)
| ~ has_immunity(X_107,T0_109)
| ~ organization(X_107) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_50,plain,
smaller_or_equal(age('#skF_3','#skF_5'),eta),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_526,plain,
( has_immunity('#skF_3','#skF_5')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_50,c_520]) ).
tff(c_533,plain,
has_immunity('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_526]) ).
tff(c_923,plain,
! [X_82,T_83,T0_84] :
( ( hazard_of_mortality(X_82,T_83) = hazard_of_mortality(X_82,T0_84) )
| ~ has_immunity(X_82,T_83)
| ~ has_immunity(X_82,T0_84)
| ~ organization(X_82) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_927,plain,
! [T0_84] :
( ( hazard_of_mortality('#skF_3',T0_84) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_84)
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_533,c_923]) ).
tff(c_1168,plain,
! [T0_89] :
( ( hazard_of_mortality('#skF_3',T0_89) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_89) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_927]) ).
tff(c_1175,plain,
hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_552,c_1168]) ).
tff(c_42,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_183]) ).
tff(c_107,plain,
~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_5')),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_1179,plain,
~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_1175,c_107]) ).
tff(c_1849,plain,
( has_immunity('#skF_3','#skF_6')
| ~ has_immunity('#skF_3','#skF_4')
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_1846,c_1179]) ).
tff(c_1870,plain,
has_immunity('#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_552,c_1849]) ).
tff(c_1872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_343,c_1870]) ).
tff(c_1873,plain,
sigma = eta,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_1876,plain,
greater(eta,zero),
inference(demodulation,[status(thm),theory(equality)],[c_1873,c_44]) ).
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_1951,plain,
! [X_118,T_119] :
( has_immunity(X_118,T_119)
| ~ smaller_or_equal(age(X_118,T_119),eta)
| ~ has_endowment(X_118) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_1960,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_52,c_1951]) ).
tff(c_1966,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1960]) ).
tff(c_1967,plain,
~ smaller_or_equal(zero,eta),
inference(splitLeft,[status(thm)],[c_1966]) ).
tff(c_1971,plain,
~ smaller(zero,eta),
inference(resolution,[status(thm)],[c_6,c_1967]) ).
tff(c_1988,plain,
~ greater(eta,zero),
inference(resolution,[status(thm)],[c_16,c_1971]) ).
tff(c_1995,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1876,c_1988]) ).
tff(c_1996,plain,
has_immunity('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_1966]) ).
tff(c_3136,plain,
! [X_167,T_168,T0_169] :
( greater(hazard_of_mortality(X_167,T_168),hazard_of_mortality(X_167,T0_169))
| has_immunity(X_167,T_168)
| ~ has_immunity(X_167,T0_169)
| ~ organization(X_167) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_1957,plain,
( has_immunity('#skF_3','#skF_5')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_50,c_1951]) ).
tff(c_1964,plain,
has_immunity('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1957]) ).
tff(c_2770,plain,
! [X_157,T_158,T0_159] :
( ( hazard_of_mortality(X_157,T_158) = hazard_of_mortality(X_157,T0_159) )
| ~ has_immunity(X_157,T_158)
| ~ has_immunity(X_157,T0_159)
| ~ organization(X_157) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_2774,plain,
! [T0_159] :
( ( hazard_of_mortality('#skF_3',T0_159) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_159)
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_1964,c_2770]) ).
tff(c_2781,plain,
! [T0_160] :
( ( hazard_of_mortality('#skF_3',T0_160) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_160) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_2774]) ).
tff(c_2788,plain,
hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_1996,c_2781]) ).
tff(c_2792,plain,
~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_2788,c_107]) ).
tff(c_3139,plain,
( has_immunity('#skF_3','#skF_6')
| ~ has_immunity('#skF_3','#skF_4')
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_3136,c_2792]) ).
tff(c_3160,plain,
has_immunity('#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_1996,c_3139]) ).
tff(c_3162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2025,c_3160]) ).
tff(c_3163,plain,
hazard_of_mortality('#skF_3','#skF_5') != hazard_of_mortality('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_4229,plain,
! [X_232,T_233] :
( has_immunity(X_232,T_233)
| ~ smaller_or_equal(age(X_232,T_233),eta)
| ~ has_endowment(X_232) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_4235,plain,
( has_immunity('#skF_3','#skF_5')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_50,c_4229]) ).
tff(c_4242,plain,
has_immunity('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_4235]) ).
tff(c_3165,plain,
greater(eta,sigma),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_3232,plain,
! [X_174,Z_175,Y_176] :
( greater(X_174,Z_175)
| ~ greater(Y_176,Z_175)
| ~ greater(X_174,Y_176) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_3250,plain,
! [X_174] :
( greater(X_174,zero)
| ~ greater(X_174,sigma) ),
inference(resolution,[status(thm)],[c_44,c_3232]) ).
tff(c_3251,plain,
! [X_177,T_178] :
( has_immunity(X_177,T_178)
| ~ smaller_or_equal(age(X_177,T_178),eta)
| ~ has_endowment(X_177) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_3260,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_52,c_3251]) ).
tff(c_3266,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_3260]) ).
tff(c_3274,plain,
~ smaller_or_equal(zero,eta),
inference(splitLeft,[status(thm)],[c_3266]) ).
tff(c_3289,plain,
~ smaller(zero,eta),
inference(resolution,[status(thm)],[c_6,c_3274]) ).
tff(c_3297,plain,
~ greater(eta,zero),
inference(resolution,[status(thm)],[c_16,c_3289]) ).
tff(c_3300,plain,
~ greater(eta,sigma),
inference(resolution,[status(thm)],[c_3250,c_3297]) ).
tff(c_3306,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3165,c_3300]) ).
tff(c_3307,plain,
has_immunity('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_3266]) ).
tff(c_3257,plain,
( has_immunity('#skF_3','#skF_5')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_50,c_3251]) ).
tff(c_3264,plain,
has_immunity('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_3257]) ).
tff(c_3931,plain,
! [X_210,T_211,T0_212] :
( ( hazard_of_mortality(X_210,T_211) = hazard_of_mortality(X_210,T0_212) )
| ~ has_immunity(X_210,T_211)
| ~ has_immunity(X_210,T0_212)
| ~ organization(X_210) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_3935,plain,
! [T0_212] :
( ( hazard_of_mortality('#skF_3',T0_212) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_212)
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_3264,c_3931]) ).
tff(c_3983,plain,
! [T0_214] :
( ( hazard_of_mortality('#skF_3',T0_214) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_214) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_3935]) ).
tff(c_3986,plain,
hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_3307,c_3983]) ).
tff(c_3993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3163,c_3986]) ).
tff(c_3994,plain,
sigma = eta,
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_3997,plain,
greater(eta,zero),
inference(demodulation,[status(thm),theory(equality)],[c_3994,c_44]) ).
tff(c_4238,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_52,c_4229]) ).
tff(c_4244,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_4238]) ).
tff(c_4245,plain,
~ smaller_or_equal(zero,eta),
inference(splitLeft,[status(thm)],[c_4244]) ).
tff(c_4250,plain,
~ smaller(zero,eta),
inference(resolution,[status(thm)],[c_6,c_4245]) ).
tff(c_4256,plain,
~ greater(eta,zero),
inference(resolution,[status(thm)],[c_16,c_4250]) ).
tff(c_4263,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3997,c_4256]) ).
tff(c_4264,plain,
has_immunity('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_4244]) ).
tff(c_5183,plain,
! [X_279,T_280,T0_281] :
( ( hazard_of_mortality(X_279,T_280) = hazard_of_mortality(X_279,T0_281) )
| ~ has_immunity(X_279,T_280)
| ~ has_immunity(X_279,T0_281)
| ~ organization(X_279) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_5185,plain,
! [T0_281] :
( ( hazard_of_mortality('#skF_3',T0_281) = hazard_of_mortality('#skF_3','#skF_4') )
| ~ has_immunity('#skF_3',T0_281)
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_4264,c_5183]) ).
tff(c_5194,plain,
! [T0_282] :
( ( hazard_of_mortality('#skF_3',T0_282) = hazard_of_mortality('#skF_3','#skF_4') )
| ~ has_immunity('#skF_3',T0_282) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_5185]) ).
tff(c_5200,plain,
hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_4242,c_5194]) ).
tff(c_5206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3163,c_5200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT056+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
% 0.15/0.36 % Computer : n005.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 20:30:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 7.02/2.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.02/2.72
% 7.02/2.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.12/2.75
% 7.12/2.75 Inference rules
% 7.12/2.75 ----------------------
% 7.12/2.75 #Ref : 0
% 7.12/2.75 #Sup : 1107
% 7.12/2.75 #Fact : 14
% 7.12/2.75 #Define : 0
% 7.12/2.75 #Split : 25
% 7.12/2.75 #Chain : 0
% 7.12/2.75 #Close : 0
% 7.12/2.75
% 7.12/2.75 Ordering : KBO
% 7.12/2.75
% 7.12/2.75 Simplification rules
% 7.12/2.75 ----------------------
% 7.12/2.75 #Subsume : 441
% 7.12/2.75 #Demod : 482
% 7.12/2.75 #Tautology : 224
% 7.12/2.75 #SimpNegUnit : 58
% 7.12/2.75 #BackRed : 50
% 7.12/2.75
% 7.12/2.75 #Partial instantiations: 0
% 7.12/2.75 #Strategies tried : 1
% 7.12/2.75
% 7.12/2.75 Timing (in seconds)
% 7.12/2.75 ----------------------
% 7.12/2.76 Preprocessing : 0.55
% 7.12/2.76 Parsing : 0.26
% 7.12/2.76 CNF conversion : 0.04
% 7.12/2.76 Main loop : 1.09
% 7.12/2.76 Inferencing : 0.40
% 7.12/2.76 Reduction : 0.32
% 7.12/2.76 Demodulation : 0.22
% 7.12/2.76 BG Simplification : 0.04
% 7.12/2.76 Subsumption : 0.25
% 7.12/2.76 Abstraction : 0.04
% 7.12/2.76 MUC search : 0.00
% 7.12/2.76 Cooper : 0.00
% 7.12/2.76 Total : 1.70
% 7.12/2.76 Index Insertion : 0.00
% 7.12/2.76 Index Deletion : 0.00
% 7.12/2.76 Index Matching : 0.00
% 7.12/2.76 BG Taut test : 0.00
%------------------------------------------------------------------------------