%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n031.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 06:08:01 AM UTC 2026
% Result : Theorem 15.55s 4.20s
% Output : CNFRefutation 15.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 53 ( 30 unt; 10 nHn; 50 RR)
% Number of literals : 98 ( 11 equ; 43 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_2) ).
cnf(i_0_10,negated_conjecture,
has_immunity(esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
organization(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_11) ).
cnf(i_0_8,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_8) ).
cnf(i_0_22,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_22) ).
cnf(i_0_5,plain,
greater(low,very_low),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_5) ).
cnf(i_0_7,plain,
greater(mod2,low),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_7) ).
cnf(i_0_6,plain,
greater(high,mod2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_6) ).
cnf(i_0_1,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_1) ).
cnf(i_0_16,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_16) ).
cnf(i_0_15,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_15) ).
cnf(i_0_9,negated_conjecture,
~ has_immunity(esk1_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_9) ).
cnf(i_0_4,plain,
greater(mod1,low),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_4) ).
cnf(i_0_23,plain,
( hazard_of_mortality(X1,X2) = high
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_23) ).
cnf(i_0_26,plain,
( hazard_of_mortality(X1,X2) = low
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_26) ).
cnf(i_0_25,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_25) ).
cnf(i_0_24,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-eb88xkhv/lgb.p',i_0_24) ).
cnf(c_0_44,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
i_0_2 ).
cnf(c_0_45,negated_conjecture,
has_immunity(esk1_0,esk2_0),
i_0_10 ).
cnf(c_0_46,negated_conjecture,
organization(esk1_0),
i_0_11 ).
cnf(c_0_47,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
i_0_8 ).
cnf(c_0_48,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) = very_low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_49,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
i_0_22 ).
cnf(c_0_50,plain,
greater(low,very_low),
i_0_5 ).
cnf(c_0_51,plain,
greater(mod2,low),
i_0_7 ).
cnf(c_0_52,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),very_low),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,plain,
( greater(X1,very_low)
| ~ greater(X1,low) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_49,c_0_51]) ).
cnf(c_0_55,plain,
greater(high,mod2),
i_0_6 ).
cnf(c_0_56,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
i_0_1 ).
cnf(c_0_57,plain,
~ greater(hazard_of_mortality(esk1_0,esk3_0),low),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
i_0_16 ).
cnf(c_0_59,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
i_0_15 ).
cnf(c_0_60,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
~ has_immunity(esk1_0,esk3_0),
i_0_9 ).
cnf(c_0_62,negated_conjecture,
( epred1_2(X1,esk1_0)
| has_immunity(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_46]) ).
cnf(c_0_63,plain,
greater(mod1,low),
i_0_4 ).
cnf(c_0_64,plain,
~ smaller(low,hazard_of_mortality(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
( hazard_of_mortality(X1,X2) = high
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_23 ).
cnf(c_0_66,plain,
smaller(low,high),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
~ smaller(very_low,hazard_of_mortality(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_52,c_0_58]) ).
cnf(c_0_69,plain,
( hazard_of_mortality(X1,X2) = low
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_26 ).
cnf(c_0_70,plain,
smaller(very_low,low),
inference(spm,[status(thm)],[c_0_59,c_0_50]) ).
cnf(c_0_71,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_25 ).
cnf(c_0_72,plain,
smaller(low,mod1),
inference(spm,[status(thm)],[c_0_59,c_0_63]) ).
cnf(c_0_73,plain,
( positional_advantage(esk1_0,esk3_0)
| is_aligned(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_74,plain,
( ~ positional_advantage(esk1_0,esk3_0)
| ~ is_aligned(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_67])]) ).
cnf(c_0_75,plain,
is_aligned(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_71]),c_0_72]),c_0_67])]),c_0_73]) ).
cnf(c_0_76,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
i_0_24 ).
cnf(c_0_77,plain,
smaller(low,mod2),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_78,plain,
~ positional_advantage(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).
cnf(c_0_79,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_76]),c_0_77]),c_0_67])]),c_0_75])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.38 % Computer : n031.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 7 13:36:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.23/0.48 # ENIGMATIC: Selected SinE mode:
% 0.23/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.23/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.23/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 15.55/4.20 # ENIGMATIC: Solved by autoschedule-lgb:
% 15.55/4.20 # No SInE strategy applied
% 15.55/4.20 # Trying AutoSched0 for 150 seconds
% 15.55/4.20 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 15.55/4.20 # and selection function SelectMaxLComplexAvoidPosPred.
% 15.55/4.20 #
% 15.55/4.20 # Preprocessing time : 0.024 s
% 15.55/4.20 # Presaturation interreduction done
% 15.55/4.20
% 15.55/4.20 # Proof found!
% 15.55/4.20 # SZS status Theorem
% 15.55/4.20 # SZS output start CNFRefutation
% See solution above
% 15.55/4.20 # Training examples: 0 positive, 0 negative
% 15.55/4.20
% 15.55/4.20 # -------------------------------------------------
% 15.55/4.20 # User time : 0.029 s
% 15.55/4.20 # System time : 0.003 s
% 15.55/4.20 # Total time : 0.032 s
% 15.55/4.20 # Maximum resident set size: 3328 pages
% 15.55/4.20
%------------------------------------------------------------------------------