%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT050+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 06:07:59 AM UTC 2026
% Result : Theorem 10.44s 2.98s
% Output : CNFRefutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 50 ( 19 unt; 4 nHn; 33 RR)
% Number of literals : 102 ( 15 equ; 49 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| epred1_3(X3,X2,X1)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_5) ).
cnf(i_0_23,negated_conjecture,
organization(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_23) ).
cnf(i_0_2,plain,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_2) ).
cnf(i_0_6,plain,
( epred2_3(X1,X2,X3)
| ~ organization(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_6) ).
cnf(i_0_7,plain,
( position(X1,X2) = position(X1,X3)
| external_ties(X1,X2) != external_ties(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_7) ).
cnf(i_0_3,plain,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_3) ).
cnf(i_0_1,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_1) ).
cnf(i_0_22,negated_conjecture,
~ has_endowment(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_22) ).
cnf(i_0_28,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ epred2_3(X3,X2,X1)
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_28) ).
cnf(i_0_14,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_14) ).
cnf(i_0_4,plain,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_4) ).
cnf(i_0_21,negated_conjecture,
greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_21) ).
cnf(i_0_26,plain,
( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ epred1_3(X3,X2,X1)
| ~ greater(capability(X1,X2),capability(X1,X3))
| ~ greater_or_equal(position(X1,X2),position(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_26) ).
cnf(i_0_9,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_9) ).
cnf(i_0_13,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_13) ).
cnf(i_0_20,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fi9ja1au/lgb.p',i_0_20) ).
cnf(c_0_45,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| epred1_3(X3,X2,X1)
| ~ organization(X1) ),
i_0_5 ).
cnf(c_0_46,negated_conjecture,
organization(esk1_0),
i_0_23 ).
cnf(c_0_47,plain,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
i_0_2 ).
cnf(c_0_48,plain,
( epred2_3(X1,X2,X3)
| ~ organization(X3) ),
i_0_6 ).
cnf(c_0_49,plain,
( position(X1,X2) = position(X1,X3)
| external_ties(X1,X2) != external_ties(X1,X3)
| ~ organization(X1) ),
i_0_7 ).
cnf(c_0_50,plain,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
i_0_3 ).
cnf(c_0_51,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
i_0_1 ).
cnf(c_0_52,negated_conjecture,
( epred1_3(X1,X2,esk1_0)
| has_immunity(esk1_0,X1)
| has_immunity(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
~ has_endowment(esk1_0),
i_0_22 ).
cnf(c_0_54,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ epred2_3(X3,X2,X1)
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3)) ),
i_0_28 ).
cnf(c_0_55,negated_conjecture,
stock_of_knowledge(esk1_0,X1) = stock_of_knowledge(esk1_0,X2),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
epred2_3(X1,X2,esk1_0),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_57,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
i_0_14 ).
cnf(c_0_58,plain,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1) ),
inference(csr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( epred1_3(X1,X2,esk1_0)
| has_immunity(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_46])]),c_0_53]) ).
cnf(c_0_60,plain,
( smaller(capability(esk1_0,X1),capability(esk1_0,X2))
| ~ smaller_or_equal(stock_of_knowledge(esk1_0,X3),stock_of_knowledge(esk1_0,X2))
| ~ greater(internal_friction(esk1_0,X1),internal_friction(esk1_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_61,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
i_0_4 ).
cnf(c_0_63,negated_conjecture,
greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
i_0_21 ).
cnf(c_0_64,plain,
( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ epred1_3(X3,X2,X1)
| ~ greater(capability(X1,X2),capability(X1,X3))
| ~ greater_or_equal(position(X1,X2),position(X1,X3)) ),
i_0_26 ).
cnf(c_0_65,negated_conjecture,
position(esk1_0,X1) = position(esk1_0,X2),
inference(spm,[status(thm)],[c_0_58,c_0_46]) ).
cnf(c_0_66,plain,
epred1_3(X1,X2,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_59]),c_0_46])]),c_0_53]) ).
cnf(c_0_67,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
i_0_9 ).
cnf(c_0_68,plain,
( smaller(capability(esk1_0,X1),capability(esk1_0,X2))
| ~ greater(internal_friction(esk1_0,X1),internal_friction(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
greater(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_46])]) ).
cnf(c_0_70,plain,
( smaller(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,X2))
| ~ greater_or_equal(position(esk1_0,X3),position(esk1_0,X2))
| ~ greater(capability(esk1_0,X1),capability(esk1_0,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_71,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_72,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
i_0_13 ).
cnf(c_0_73,negated_conjecture,
smaller(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( smaller(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,X2))
| ~ greater(capability(esk1_0,X1),capability(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
greater(capability(esk1_0,esk2_0),capability(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
smaller(hazard_of_mortality(esk1_0,esk2_0),hazard_of_mortality(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
i_0_20 ).
cnf(c_0_78,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_76]),c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT050+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.36 % Computer : n028.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 13:19:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.45 # ENIGMATIC: Selected SinE mode:
% 0.21/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.44/2.98 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.44/2.98 # No SInE strategy applied
% 10.44/2.98 # Trying AutoSched0 for 150 seconds
% 10.44/2.98 # AutoSched0-Mode selected heuristic G_E___200_C45_F1_AE_CS_SP_PI_S0S
% 10.44/2.98 # and selection function SelectComplexG.
% 10.44/2.98 #
% 10.44/2.98 # Preprocessing time : 0.024 s
% 10.44/2.98
% 10.44/2.98 # Proof found!
% 10.44/2.98 # SZS status Theorem
% 10.44/2.98 # SZS output start CNFRefutation
% See solution above
% 10.44/2.98 # Training examples: 0 positive, 0 negative
% 10.44/2.98
% 10.44/2.98 # -------------------------------------------------
% 10.44/2.98 # User time : 0.033 s
% 10.44/2.98 # System time : 0.007 s
% 10.44/2.98 # Total time : 0.040 s
% 10.44/2.98 # Maximum resident set size: 3584 pages
% 10.44/2.98
%------------------------------------------------------------------------------