%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 17.45s 5.22s
% Output : CNFRefutation 17.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of clauses : 53 ( 17 unt; 15 nHn; 44 RR)
% Number of literals : 131 ( 18 equ; 72 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 82 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_11) ).
cnf(i_0_5,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_5) ).
cnf(i_0_2,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_2) ).
cnf(i_0_26,negated_conjecture,
greater(age(esk1_0,esk4_0),sigma),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_26) ).
cnf(i_0_30,negated_conjecture,
organization(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_30) ).
cnf(i_0_20,plain,
( X1 = X2
| smaller(X1,X2)
| ~ smaller_or_equal(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_20) ).
cnf(i_0_27,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),sigma),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_27) ).
cnf(i_0_4,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_4) ).
cnf(i_0_12,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_12) ).
cnf(i_0_6,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/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_6) ).
cnf(i_0_3,plain,
( is_aligned(X1,X2)
| greater(capability(X1,X3),capability(X1,X2))
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_3) ).
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/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_7) ).
cnf(i_0_28,negated_conjecture,
age(esk1_0,esk2_0) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_28) ).
cnf(i_0_17,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_17) ).
cnf(i_0_9,plain,
( is_aligned(X1,X2)
| dissimilar(X1,X3,X2)
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_9) ).
cnf(i_0_24,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_24) ).
cnf(i_0_22,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_22) ).
cnf(i_0_1,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_1) ).
cnf(i_0_29,negated_conjecture,
~ has_endowment(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4ih1qh8z/input.p',i_0_29) ).
cnf(c_0_50,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X3,X2) ),
i_0_11 ).
cnf(c_0_51,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
i_0_5 ).
cnf(c_0_52,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
i_0_2 ).
cnf(c_0_53,plain,
( age(X1,X2) != zero
| ~ is_aligned(X1,X3)
| ~ greater(age(X1,X3),sigma)
| ~ organization(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_54,negated_conjecture,
greater(age(esk1_0,esk4_0),sigma),
i_0_26 ).
cnf(c_0_55,negated_conjecture,
organization(esk1_0),
i_0_30 ).
cnf(c_0_56,plain,
( X1 = X2
| smaller(X1,X2)
| ~ smaller_or_equal(X1,X2) ),
i_0_20 ).
cnf(c_0_57,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),sigma),
i_0_27 ).
cnf(c_0_58,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X3,X2) ),
i_0_4 ).
cnf(c_0_59,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
i_0_12 ).
cnf(c_0_60,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_6 ).
cnf(c_0_61,plain,
( is_aligned(X1,X2)
| greater(capability(X1,X3),capability(X1,X2))
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
i_0_3 ).
cnf(c_0_62,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_63,negated_conjecture,
( age(esk1_0,X1) != zero
| ~ is_aligned(esk1_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_64,negated_conjecture,
age(esk1_0,esk2_0) = zero,
i_0_28 ).
cnf(c_0_65,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
i_0_17 ).
cnf(c_0_66,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| smaller(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,plain,
( is_aligned(X1,X2)
| dissimilar(X1,X3,X2)
| ~ organization(X1)
| ~ is_aligned(X1,X3) ),
i_0_9 ).
cnf(c_0_69,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)),
i_0_24 ).
cnf(c_0_70,plain,
( is_aligned(X1,X2)
| has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ is_aligned(X1,X3)
| ~ organization(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_71,negated_conjecture,
~ is_aligned(esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
i_0_22 ).
cnf(c_0_73,plain,
( age(esk1_0,esk3_0) = sigma
| greater(sigma,age(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,plain,
( is_aligned(X1,X2)
| greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ organization(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_52]) ).
cnf(c_0_75,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
i_0_1 ).
cnf(c_0_76,negated_conjecture,
( has_immunity(esk1_0,esk4_0)
| ~ is_aligned(esk1_0,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_55])]),c_0_71]) ).
cnf(c_0_77,negated_conjecture,
~ has_endowment(esk1_0),
i_0_29 ).
cnf(c_0_78,plain,
( age(esk1_0,esk3_0) = sigma
| ~ greater(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( is_aligned(esk1_0,X1)
| greater(age(esk1_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_64]),c_0_55])]) ).
cnf(c_0_80,plain,
~ is_aligned(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_55])]),c_0_77]) ).
cnf(c_0_81,plain,
age(esk1_0,esk3_0) = sigma,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_82,negated_conjecture,
greater(sigma,sigma),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_81]),c_0_80]) ).
cnf(c_0_83,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_82]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.06 % Command : enigmatic-eprover.py %s %d 1
% 0.17/0.43 % Computer : n006.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 7 13:24:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.27/0.58 # ENIGMATIC: Selected SinE mode:
% 0.27/0.59 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.59 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.27/0.59 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.27/0.59 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.45/5.22 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 17.45/5.22 # Version: 2.1pre011
% 17.45/5.22 # Preprocessing time : 0.024 s
% 17.45/5.22
% 17.45/5.22 # Proof found!
% 17.45/5.22 # SZS status Theorem
% 17.45/5.22 # SZS output start CNFRefutation
% See solution above
% 17.45/5.22 # Proof object total steps : 53
% 17.45/5.22 # Proof object clause steps : 34
% 17.45/5.22 # Proof object formula steps : 19
% 17.45/5.22 # Proof object conjectures : 18
% 17.45/5.22 # Proof object clause conjectures : 12
% 17.45/5.22 # Proof object formula conjectures : 6
% 17.45/5.22 # Proof object initial clauses used : 19
% 17.45/5.22 # Proof object initial formulas used : 19
% 17.45/5.22 # Proof object generating inferences : 14
% 17.45/5.22 # Proof object simplifying inferences : 18
% 17.45/5.22 # Training examples: 0 positive, 0 negative
% 17.45/5.22 # Parsed axioms : 30
% 17.45/5.22 # Removed by relevancy pruning/SinE : 0
% 17.45/5.22 # Initial clauses : 30
% 17.45/5.22 # Removed in clause preprocessing : 0
% 17.45/5.22 # Initial clauses in saturation : 30
% 17.45/5.22 # Processed clauses : 127
% 17.45/5.22 # ...of these trivial : 0
% 17.45/5.22 # ...subsumed : 43
% 17.45/5.22 # ...remaining for further processing : 84
% 17.45/5.22 # Other redundant clauses eliminated : 2
% 17.45/5.22 # Clauses deleted for lack of memory : 0
% 17.45/5.22 # Backward-subsumed : 0
% 17.45/5.22 # Backward-rewritten : 10
% 17.45/5.22 # Generated clauses : 260
% 17.45/5.22 # ...of the previous two non-trivial : 200
% 17.45/5.22 # Contextual simplify-reflections : 25
% 17.45/5.22 # Paramodulations : 256
% 17.45/5.22 # Factorizations : 2
% 17.45/5.22 # Equation resolutions : 2
% 17.45/5.22 # Propositional unsat checks : 0
% 17.45/5.22 # Propositional unsat check successes : 0
% 17.45/5.22 # Current number of processed clauses : 72
% 17.45/5.22 # Positive orientable unit clauses : 10
% 17.45/5.22 # Positive unorientable unit clauses: 0
% 17.45/5.22 # Negative unit clauses : 8
% 17.45/5.22 # Non-unit-clauses : 54
% 17.45/5.22 # Current number of unprocessed clauses: 81
% 17.45/5.22 # ...number of literals in the above : 391
% 17.45/5.22 # Current number of archived formulas : 0
% 17.45/5.22 # Current number of archived clauses : 10
% 17.45/5.22 # Clause-clause subsumption calls (NU) : 1670
% 17.45/5.22 # Rec. Clause-clause subsumption calls : 945
% 17.45/5.22 # Non-unit clause-clause subsumptions : 51
% 17.45/5.22 # Unit Clause-clause subsumption calls : 120
% 17.45/5.22 # Rewrite failures with RHS unbound : 0
% 17.45/5.22 # BW rewrite match attempts : 4
% 17.45/5.22 # BW rewrite match successes : 1
% 17.45/5.22 # Condensation attempts : 0
% 17.45/5.22 # Condensation successes : 0
% 17.45/5.22 # Termbank termtop insertions : 4189
% 17.45/5.22
% 17.45/5.22 # -------------------------------------------------
% 17.45/5.22 # User time : 0.037 s
% 17.45/5.22 # System time : 0.004 s
% 17.45/5.22 # Total time : 0.041 s
% 17.45/5.22 # ...preprocessing : 0.024 s
% 17.45/5.22 # ...main loop : 0.017 s
% 17.45/5.22 # Maximum resident set size: 6400 pages
% 17.45/5.22
%------------------------------------------------------------------------------