%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT055+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 06:08:00 AM UTC 2026
% Result : Theorem 19.31s 4.76s
% Output : CNFRefutation 19.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of clauses : 88 ( 35 unt; 18 nHn; 77 RR)
% Number of literals : 191 ( 21 equ; 95 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 109 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_23) ).
cnf(i_0_29,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_29) ).
cnf(i_0_26,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_26) ).
cnf(i_0_13,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_13) ).
cnf(i_0_35,negated_conjecture,
age(esk3_0,esk4_0) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_35) ).
cnf(i_0_36,negated_conjecture,
has_endowment(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_36) ).
cnf(i_0_3,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_3) ).
cnf(i_0_19,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_19) ).
cnf(i_0_1,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_1) ).
cnf(i_0_37,negated_conjecture,
organization(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_37) ).
cnf(i_0_6,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X3)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_6) ).
cnf(i_0_34,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_34) ).
cnf(i_0_16,plain,
( is_aligned(X1,X2)
| dissimilar(X1,X3,X2)
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_16) ).
cnf(i_0_4,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_4) ).
cnf(i_0_40,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_40) ).
cnf(i_0_30,negated_conjecture,
greater(sigma,eta),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_30) ).
cnf(i_0_28,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_28) ).
cnf(i_0_7,plain,
( has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ has_immunity(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_7) ).
cnf(i_0_12,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_12) ).
cnf(i_0_33,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_33) ).
cnf(i_0_5,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X2),capability(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_5) ).
cnf(i_0_2,plain,
( is_aligned(X1,X2)
| greater(capability(X1,X3),capability(X1,X2))
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_2) ).
cnf(i_0_31,negated_conjecture,
greater(age(esk3_0,esk7_0),sigma),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_31) ).
cnf(i_0_27,plain,
( X1 = X2
| smaller(X1,X2)
| ~ smaller_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_27) ).
cnf(i_0_32,negated_conjecture,
smaller_or_equal(age(esk3_0,esk6_0),sigma),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_32) ).
cnf(i_0_18,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_18) ).
cnf(i_0_24,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_24) ).
cnf(i_0_39,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p546ngd0/lgb.p',i_0_39) ).
cnf(c_0_69,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
i_0_23 ).
cnf(c_0_70,negated_conjecture,
greater(eta,zero),
i_0_29 ).
cnf(c_0_71,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
i_0_26 ).
cnf(c_0_72,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_73,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
i_0_13 ).
cnf(c_0_74,negated_conjecture,
age(esk3_0,esk4_0) = zero,
i_0_35 ).
cnf(c_0_75,negated_conjecture,
has_endowment(esk3_0),
i_0_36 ).
cnf(c_0_76,plain,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X3,X2) ),
i_0_3 ).
cnf(c_0_78,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
i_0_19 ).
cnf(c_0_79,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
i_0_1 ).
cnf(c_0_80,negated_conjecture,
organization(esk3_0),
i_0_37 ).
cnf(c_0_81,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X3)
| ~ has_immunity(X1,X2) ),
i_0_6 ).
cnf(c_0_82,negated_conjecture,
has_immunity(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_83,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
i_0_34 ).
cnf(c_0_84,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,plain,
( is_aligned(X1,X2)
| dissimilar(X1,X3,X2)
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
i_0_16 ).
cnf(c_0_86,negated_conjecture,
is_aligned(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_74]),c_0_80])]) ).
cnf(c_0_87,negated_conjecture,
( hazard_of_mortality(esk3_0,X1) = hazard_of_mortality(esk3_0,esk4_0)
| ~ has_immunity(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_80])]) ).
cnf(c_0_88,negated_conjecture,
has_immunity(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_83]),c_0_75])]) ).
cnf(c_0_89,negated_conjecture,
( greater(age(esk3_0,X1),sigma)
| ~ dissimilar(esk3_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_74]) ).
cnf(c_0_90,plain,
( dissimilar(esk3_0,esk4_0,X1)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_80])]) ).
cnf(c_0_91,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
i_0_4 ).
cnf(c_0_92,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
i_0_40 ).
cnf(c_0_93,negated_conjecture,
greater(sigma,eta),
i_0_30 ).
cnf(c_0_94,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
i_0_28 ).
cnf(c_0_95,negated_conjecture,
hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,plain,
( has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ has_immunity(X1,X3) ),
i_0_7 ).
cnf(c_0_97,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
i_0_12 ).
cnf(c_0_98,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
i_0_33 ).
cnf(c_0_99,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X2),capability(X1,X3)) ),
i_0_5 ).
cnf(c_0_100,plain,
( is_aligned(X1,X2)
| greater(capability(X1,X3),capability(X1,X2))
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
i_0_2 ).
cnf(c_0_101,plain,
( is_aligned(esk3_0,X1)
| greater(age(esk3_0,X1),sigma) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_102,negated_conjecture,
( dissimilar(esk3_0,esk4_0,X1)
| ~ greater(age(esk3_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_74]),c_0_80])]) ).
cnf(c_0_103,negated_conjecture,
greater(age(esk3_0,esk7_0),sigma),
i_0_31 ).
cnf(c_0_104,negated_conjecture,
( greater(X1,eta)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_105,plain,
( X1 = X2
| smaller(X1,X2)
| ~ smaller_or_equal(X1,X2) ),
i_0_27 ).
cnf(c_0_106,negated_conjecture,
smaller_or_equal(age(esk3_0,esk6_0),sigma),
i_0_32 ).
cnf(c_0_107,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_108,negated_conjecture,
( has_immunity(esk3_0,X1)
| greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_82]),c_0_80])]),c_0_95]) ).
cnf(c_0_109,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_75])]) ).
cnf(c_0_110,plain,
( has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
inference(csr,[status(thm)],[c_0_99,c_0_96]) ).
cnf(c_0_111,plain,
( is_aligned(esk3_0,X1)
| greater(capability(esk3_0,X2),capability(esk3_0,X1))
| greater(age(esk3_0,X2),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_80])]) ).
cnf(c_0_112,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X3,X2) ),
i_0_18 ).
cnf(c_0_113,negated_conjecture,
dissimilar(esk3_0,esk4_0,esk7_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_114,negated_conjecture,
greater(age(esk3_0,esk7_0),eta),
inference(spm,[status(thm)],[c_0_104,c_0_103]) ).
cnf(c_0_115,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
i_0_24 ).
cnf(c_0_116,negated_conjecture,
( age(esk3_0,esk6_0) = sigma
| smaller(age(esk3_0,esk6_0),sigma) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_117,negated_conjecture,
~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_118,plain,
( is_aligned(esk3_0,X1)
| has_immunity(esk3_0,X1)
| greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,X2))
| greater(age(esk3_0,X2),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_80])]) ).
cnf(c_0_119,plain,
~ is_aligned(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_86])]) ).
cnf(c_0_120,plain,
~ has_immunity(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_114]),c_0_75])]) ).
cnf(c_0_121,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
i_0_39 ).
cnf(c_0_122,plain,
( age(esk3_0,esk6_0) = sigma
| greater(sigma,age(esk3_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
greater(age(esk3_0,esk6_0),sigma),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_124,plain,
( age(esk3_0,esk6_0) = sigma
| ~ greater(age(esk3_0,esk6_0),sigma) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,plain,
~ greater(sigma,age(esk3_0,esk6_0)),
inference(spm,[status(thm)],[c_0_121,c_0_123]) ).
cnf(c_0_126,plain,
age(esk3_0,esk6_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_123])]) ).
cnf(c_0_127,plain,
~ greater(sigma,sigma),
inference(rw,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_128,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_126]),c_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 13:26:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.46 # ENIGMATIC: Selected SinE mode:
% 0.10/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.10/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.10/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 19.31/4.76 # ENIGMATIC: Solved by autoschedule-lgb:
% 19.31/4.76 # No SInE strategy applied
% 19.31/4.76 # Trying AutoSched0 for 150 seconds
% 19.31/4.76 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 19.31/4.76 # and selection function PSelectNewComplexAHP.
% 19.31/4.76 #
% 19.31/4.76 # Preprocessing time : 0.024 s
% 19.31/4.76 # Presaturation interreduction done
% 19.31/4.76
% 19.31/4.76 # Proof found!
% 19.31/4.76 # SZS status Theorem
% 19.31/4.76 # SZS output start CNFRefutation
% See solution above
% 19.31/4.76 # Training examples: 0 positive, 0 negative
% 19.31/4.76
% 19.31/4.76 # -------------------------------------------------
% 19.31/4.76 # User time : 0.739 s
% 19.31/4.76 # System time : 0.017 s
% 19.31/4.76 # Total time : 0.756 s
% 19.31/4.76 # Maximum resident set size: 3584 pages
% 19.31/4.76
%------------------------------------------------------------------------------