%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT065+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 06:08:02 AM UTC 2026
% Result : Theorem 14.04s 4.03s
% Output : CNFRefutation 14.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of clauses : 73 ( 36 unt; 16 nHn; 71 RR)
% Number of literals : 142 ( 30 equ; 56 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_26) ).
cnf(i_0_41,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_41) ).
cnf(i_0_29,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_29) ).
cnf(i_0_16,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_16) ).
cnf(i_0_44,negated_conjecture,
age(esk3_0,esk4_0) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_44) ).
cnf(i_0_45,negated_conjecture,
has_endowment(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_45) ).
cnf(i_0_15,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_15) ).
cnf(i_0_35,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_35) ).
cnf(i_0_5,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_5) ).
cnf(i_0_47,negated_conjecture,
organization(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_47) ).
cnf(i_0_38,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_38) ).
cnf(i_0_4,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_4) ).
cnf(i_0_34,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)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_34) ).
cnf(i_0_50,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_50) ).
cnf(i_0_48,plain,
( hazard_of_mortality(X1,X2) = high
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_48) ).
cnf(i_0_33,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_33) ).
cnf(i_0_10,plain,
greater(mod2,low),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_10) ).
cnf(i_0_8,plain,
greater(low,very_low),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_8) ).
cnf(i_0_9,plain,
greater(high,mod2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_9) ).
cnf(i_0_7,plain,
greater(mod1,low),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_7) ).
cnf(i_0_51,plain,
( hazard_of_mortality(X1,X2) = low
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_51) ).
cnf(i_0_49,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nxz9fmaa/lgb.p',i_0_49) ).
cnf(c_0_74,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
i_0_26 ).
cnf(c_0_75,negated_conjecture,
greater(eta,zero),
i_0_41 ).
cnf(c_0_76,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
i_0_29 ).
cnf(c_0_77,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
i_0_16 ).
cnf(c_0_79,negated_conjecture,
age(esk3_0,esk4_0) = zero,
i_0_44 ).
cnf(c_0_80,plain,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
has_endowment(esk3_0),
i_0_45 ).
cnf(c_0_82,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
i_0_15 ).
cnf(c_0_83,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
i_0_35 ).
cnf(c_0_84,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
i_0_5 ).
cnf(c_0_85,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_78,c_0_79]),c_0_80]),c_0_81])]) ).
cnf(c_0_86,negated_conjecture,
organization(esk3_0),
i_0_47 ).
cnf(c_0_87,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
i_0_38 ).
cnf(c_0_88,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_81])]) ).
cnf(c_0_89,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
i_0_4 ).
cnf(c_0_90,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)) ),
i_0_34 ).
cnf(c_0_91,plain,
hazard_of_mortality(esk3_0,esk4_0) = very_low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_92,negated_conjecture,
has_immunity(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_87]),c_0_81])]) ).
cnf(c_0_93,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_50 ).
cnf(c_0_94,negated_conjecture,
epred1_2(esk6_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_86])]) ).
cnf(c_0_95,plain,
( hazard_of_mortality(X1,X2) = high
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_48 ).
cnf(c_0_96,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
i_0_33 ).
cnf(c_0_97,plain,
greater(mod2,low),
i_0_10 ).
cnf(c_0_98,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != very_low
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_99,plain,
hazard_of_mortality(esk3_0,esk5_0) = very_low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_92]),c_0_86])]) ).
cnf(c_0_100,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = mod1
| is_aligned(esk3_0,esk6_0)
| ~ positional_advantage(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = high
| positional_advantage(esk3_0,esk6_0)
| is_aligned(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_94]) ).
cnf(c_0_102,plain,
greater(low,very_low),
i_0_8 ).
cnf(c_0_103,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
greater(high,mod2),
i_0_9 ).
cnf(c_0_105,negated_conjecture,
~ greater(hazard_of_mortality(esk3_0,esk6_0),very_low),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_99])]) ).
cnf(c_0_106,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = high
| hazard_of_mortality(esk3_0,esk6_0) = mod1
| is_aligned(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_107,plain,
( greater(X1,very_low)
| ~ greater(X1,low) ),
inference(spm,[status(thm)],[c_0_96,c_0_102]) ).
cnf(c_0_108,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = mod1
| is_aligned(esk3_0,esk6_0)
| ~ greater(high,very_low) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
greater(high,very_low),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,plain,
greater(mod1,low),
i_0_7 ).
cnf(c_0_112,plain,
( hazard_of_mortality(X1,X2) = low
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_51 ).
cnf(c_0_113,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = mod1
| is_aligned(esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_114,plain,
greater(mod1,very_low),
inference(spm,[status(thm)],[c_0_107,c_0_111]) ).
cnf(c_0_115,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_49 ).
cnf(c_0_116,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = low
| ~ positional_advantage(esk3_0,esk6_0)
| ~ is_aligned(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_94]) ).
cnf(c_0_117,negated_conjecture,
is_aligned(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_113]),c_0_114])]) ).
cnf(c_0_118,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = mod2
| positional_advantage(esk3_0,esk6_0)
| ~ is_aligned(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_94]) ).
cnf(c_0_119,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = low
| ~ positional_advantage(esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
cnf(c_0_120,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = mod2
| positional_advantage(esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_117])]) ).
cnf(c_0_121,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = mod2
| hazard_of_mortality(esk3_0,esk6_0) = low ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_122,plain,
greater(mod2,very_low),
inference(spm,[status(thm)],[c_0_107,c_0_97]) ).
cnf(c_0_123,negated_conjecture,
hazard_of_mortality(esk3_0,esk6_0) = low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_121]),c_0_122])]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_123]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT065+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.07/0.34 % Computer : n027.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 13:48:02 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.43 # ENIGMATIC: Selected SinE mode:
% 0.12/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.12/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.12/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 14.04/4.03 # ENIGMATIC: Solved by autoschedule-lgb:
% 14.04/4.03 # No SInE strategy applied
% 14.04/4.03 # Trying AutoSched0 for 150 seconds
% 14.04/4.03 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 14.04/4.03 # and selection function PSelectNewComplexAHP.
% 14.04/4.03 #
% 14.04/4.03 # Preprocessing time : 0.013 s
% 14.04/4.03 # Presaturation interreduction done
% 14.04/4.03
% 14.04/4.03 # Proof found!
% 14.04/4.03 # SZS status Theorem
% 14.04/4.03 # SZS output start CNFRefutation
% See solution above
% 14.04/4.03 # Training examples: 0 positive, 0 negative
% 14.04/4.03
% 14.04/4.03 # -------------------------------------------------
% 14.04/4.03 # User time : 0.020 s
% 14.04/4.03 # System time : 0.004 s
% 14.04/4.03 # Total time : 0.024 s
% 14.04/4.03 # Maximum resident set size: 3584 pages
% 14.04/4.03
%------------------------------------------------------------------------------