%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT057+1 : TPTP v9.3.0. 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:03:02 AM UTC 2026
% Result : Theorem 9.09s 3.51s
% Output : CNFRefutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 110 ( 15 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 106 ( 50 ~; 36 |; 12 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ smaller_or_equal > smaller > has_immunity > greater_or_equal > greater > organization > has_endowment > hazard_of_mortality > age > #nlpp > zero > 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(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(eta,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',theorem_6) ).
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_82,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
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_52,plain,
has_endowment('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_46,plain,
greater(age('#skF_3','#skF_6'),eta),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_234,plain,
! [X_53,T_54] :
( ~ has_immunity(X_53,T_54)
| ~ greater(age(X_53,T_54),eta)
| ~ has_endowment(X_53) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_243,plain,
( ~ has_immunity('#skF_3','#skF_6')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_46,c_234]) ).
tff(c_251,plain,
~ has_immunity('#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_243]) ).
tff(c_54,plain,
organization('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_44,plain,
greater(eta,zero),
inference(cnfTransformation,[status(thm)],[f_183]) ).
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_50,plain,
age('#skF_3','#skF_4') = zero,
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_177,plain,
! [X_50,T_51] :
( has_immunity(X_50,T_51)
| ~ smaller_or_equal(age(X_50,T_51),eta)
| ~ has_endowment(X_50) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_186,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_177]) ).
tff(c_192,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_186]) ).
tff(c_193,plain,
~ smaller_or_equal(zero,eta),
inference(splitLeft,[status(thm)],[c_192]) ).
tff(c_197,plain,
~ smaller(zero,eta),
inference(resolution,[status(thm)],[c_6,c_193]) ).
tff(c_214,plain,
~ greater(eta,zero),
inference(resolution,[status(thm)],[c_16,c_197]) ).
tff(c_221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_214]) ).
tff(c_222,plain,
has_immunity('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_192]) ).
tff(c_1316,plain,
! [X_96,T_97,T0_98] :
( greater(hazard_of_mortality(X_96,T_97),hazard_of_mortality(X_96,T0_98))
| has_immunity(X_96,T_97)
| ~ has_immunity(X_96,T0_98)
| ~ organization(X_96) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_48,plain,
smaller_or_equal(age('#skF_3','#skF_5'),eta),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_183,plain,
( has_immunity('#skF_3','#skF_5')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_48,c_177]) ).
tff(c_190,plain,
has_immunity('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_183]) ).
tff(c_721,plain,
! [X_80,T_81,T0_82] :
( ( hazard_of_mortality(X_80,T_81) = hazard_of_mortality(X_80,T0_82) )
| ~ has_immunity(X_80,T_81)
| ~ has_immunity(X_80,T0_82)
| ~ organization(X_80) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_725,plain,
! [T0_82] :
( ( hazard_of_mortality('#skF_3',T0_82) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_82)
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_190,c_721]) ).
tff(c_845,plain,
! [T0_86] :
( ( hazard_of_mortality('#skF_3',T0_86) = hazard_of_mortality('#skF_3','#skF_5') )
| ~ has_immunity('#skF_3',T0_86) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_725]) ).
tff(c_852,plain,
hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_222,c_845]) ).
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_62,plain,
~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_5')),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_856,plain,
~ greater(hazard_of_mortality('#skF_3','#skF_6'),hazard_of_mortality('#skF_3','#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_852,c_62]) ).
tff(c_1321,plain,
( has_immunity('#skF_3','#skF_6')
| ~ has_immunity('#skF_3','#skF_4')
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_1316,c_856]) ).
tff(c_1341,plain,
has_immunity('#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_222,c_1321]) ).
tff(c_1343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251,c_1341]) ).
tff(c_1344,plain,
hazard_of_mortality('#skF_3','#skF_5') != hazard_of_mortality('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_1588,plain,
! [X_129,T_130] :
( has_immunity(X_129,T_130)
| ~ smaller_or_equal(age(X_129,T_130),eta)
| ~ has_endowment(X_129) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_1594,plain,
( has_immunity('#skF_3','#skF_5')
| ~ has_endowment('#skF_3') ),
inference(resolution,[status(thm)],[c_48,c_1588]) ).
tff(c_1601,plain,
has_immunity('#skF_3','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1594]) ).
tff(c_1597,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta)
| ~ has_endowment('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_1588]) ).
tff(c_1603,plain,
( has_immunity('#skF_3','#skF_4')
| ~ smaller_or_equal(zero,eta) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1597]) ).
tff(c_1604,plain,
~ smaller_or_equal(zero,eta),
inference(splitLeft,[status(thm)],[c_1603]) ).
tff(c_1608,plain,
~ smaller(zero,eta),
inference(resolution,[status(thm)],[c_6,c_1604]) ).
tff(c_1633,plain,
~ greater(eta,zero),
inference(resolution,[status(thm)],[c_16,c_1608]) ).
tff(c_1640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1633]) ).
tff(c_1641,plain,
has_immunity('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_1603]) ).
tff(c_2526,plain,
! [X_172,T_173,T0_174] :
( ( hazard_of_mortality(X_172,T_173) = hazard_of_mortality(X_172,T0_174) )
| ~ has_immunity(X_172,T_173)
| ~ has_immunity(X_172,T0_174)
| ~ organization(X_172) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_2528,plain,
! [T0_174] :
( ( hazard_of_mortality('#skF_3',T0_174) = hazard_of_mortality('#skF_3','#skF_4') )
| ~ has_immunity('#skF_3',T0_174)
| ~ organization('#skF_3') ),
inference(resolution,[status(thm)],[c_1641,c_2526]) ).
tff(c_2537,plain,
! [T0_175] :
( ( hazard_of_mortality('#skF_3',T0_175) = hazard_of_mortality('#skF_3','#skF_4') )
| ~ has_immunity('#skF_3',T0_175) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_2528]) ).
tff(c_2543,plain,
hazard_of_mortality('#skF_3','#skF_5') = hazard_of_mortality('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_1601,c_2537]) ).
tff(c_2549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1344,c_2543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05 % 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
% 0.12/0.38 % Computer : n027.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 7 13:32:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 9.09/3.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.09/3.52
% 9.09/3.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------