%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : AGT020+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 11:57:05 EDT 2022
% Result : Theorem 25.23s 4.56s
% Output : CNFRefutation 25.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of clauses : 75 ( 36 unt; 0 nHn; 73 RR)
% Number of literals : 144 ( 0 equ; 77 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 25 ( 25 usr; 22 con; 0-2 aty)
% Number of variables : 73 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
( ~ accept_city(X1,X2)
| ~ accept_leader(X1,X3)
| ~ the_agent_not_in_any_proposed_teams(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_10) ).
cnf(i_0_110,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_110) ).
cnf(i_0_9,plain,
( accept_leader(X1,X2)
| ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_9) ).
cnf(i_0_121,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_121) ).
cnf(i_0_340,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_340) ).
cnf(i_0_374,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_374) ).
cnf(i_0_88,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,atheist,n75)
| ~ accept_population(X1,christian,n24)
| ~ accept_population(X1,muslim,n1)
| ~ accept_population(X1,native,n0)
| ~ accept_population(X1,other,n0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_88) ).
cnf(i_0_348,negated_conjecture,
accept_population(X1,christian,X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_348) ).
cnf(i_0_4,plain,
( accept_city(X1,X2)
| ~ accept_team(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_4) ).
cnf(i_0_91,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_91) ).
cnf(i_0_401,plain,
( rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X2))
| ~ rdn_non_zero(X2)
| ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_401) ).
cnf(i_0_30,plain,
( accept_population(X1,native,n0)
| ~ accept_city(X1,townc) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_30) ).
cnf(i_0_168,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_168) ).
cnf(i_0_373,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_373) ).
cnf(i_0_402,plain,
( rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X3),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_402) ).
cnf(i_0_398,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_398) ).
cnf(i_0_397,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_397) ).
cnf(i_0_25,plain,
( accept_population(X1,muslim,n1)
| ~ accept_city(X1,cityb) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_25) ).
cnf(i_0_132,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_132) ).
cnf(i_0_27,plain,
( accept_population(X1,atheist,n78)
| ~ accept_city(X1,cityb) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_27) ).
cnf(i_0_389,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_389) ).
cnf(i_0_385,plain,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_385) ).
cnf(i_0_71,plain,
( accept_population(X1,other,n0)
| ~ accept_city(X1,coastvillage) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_71) ).
cnf(i_0_6,plain,
( accept_population(X1,X2,X3)
| ~ less(X3,X4)
| ~ accept_population(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_6) ).
cnf(i_0_396,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ha20ckab/input.p',i_0_396) ).
cnf(c_0_428,plain,
( ~ accept_city(X1,X2)
| ~ accept_leader(X1,X3)
| ~ the_agent_not_in_any_proposed_teams(X1,X3,X2) ),
i_0_10 ).
cnf(c_0_429,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
i_0_110 ).
cnf(c_0_430,plain,
( accept_leader(X1,X2)
| ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
i_0_9 ).
cnf(c_0_431,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
i_0_121 ).
cnf(c_0_432,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
i_0_340 ).
cnf(c_0_433,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
i_0_374 ).
cnf(c_0_434,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_435,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
cnf(c_0_436,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,atheist,n75)
| ~ accept_population(X1,christian,n24)
| ~ accept_population(X1,muslim,n1)
| ~ accept_population(X1,native,n0)
| ~ accept_population(X1,other,n0) ),
i_0_88 ).
cnf(c_0_437,negated_conjecture,
accept_population(X1,christian,X2),
i_0_348 ).
cnf(c_0_438,plain,
( accept_city(X1,X2)
| ~ accept_team(X1,X3,X2,X4) ),
i_0_4 ).
cnf(c_0_439,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,townc,n6),
i_0_91 ).
cnf(c_0_440,plain,
( less(X1,n78)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n8),rdnn(n7))) ),
inference(spm,[status(thm)],[c_0_432,c_0_433]) ).
cnf(c_0_441,plain,
( rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X2))
| ~ rdn_non_zero(X2)
| ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
i_0_401 ).
cnf(c_0_442,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_435])]) ).
cnf(c_0_443,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,atheist,n75)
| ~ accept_population(X1,muslim,n1)
| ~ accept_population(X1,native,n0)
| ~ accept_population(X1,other,n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_437])]) ).
cnf(c_0_444,plain,
( accept_population(X1,native,n0)
| ~ accept_city(X1,townc) ),
i_0_30 ).
cnf(c_0_445,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_446,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
i_0_168 ).
cnf(c_0_447,plain,
( less(X1,n78)
| ~ rdn_non_zero(rdnn(n7))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),rdnn(n7))))
| ~ rdn_positive_less(rdnn(X2),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_448,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
i_0_373 ).
cnf(c_0_449,plain,
( rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X3),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
i_0_402 ).
cnf(c_0_450,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
i_0_398 ).
cnf(c_0_451,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
i_0_397 ).
cnf(c_0_452,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
cnf(c_0_453,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_454,plain,
( accept_population(X1,muslim,n1)
| ~ accept_city(X1,cityb) ),
i_0_25 ).
cnf(c_0_455,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(spm,[status(thm)],[c_0_438,c_0_446]) ).
cnf(c_0_456,plain,
accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
i_0_132 ).
cnf(c_0_457,plain,
( accept_population(X1,atheist,n78)
| ~ accept_city(X1,cityb) ),
i_0_27 ).
cnf(c_0_458,plain,
( less(n75,n78)
| ~ rdn_non_zero(rdnn(n7))
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_447,c_0_448]) ).
cnf(c_0_459,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
i_0_389 ).
cnf(c_0_460,plain,
rdn_non_zero_digit(rdnn(n7)),
i_0_385 ).
cnf(c_0_461,plain,
( rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_462,plain,
( rdn_positive_less(rdnn(X1),rdnn(n7))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_449,c_0_451]) ).
cnf(c_0_463,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_453])]) ).
cnf(c_0_464,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_465,plain,
( accept_population(X1,other,n0)
| ~ accept_city(X1,coastvillage) ),
i_0_71 ).
cnf(c_0_466,plain,
accept_city(muslimcountrybhumanitarianorganization,coastvillage),
inference(spm,[status(thm)],[c_0_438,c_0_456]) ).
cnf(c_0_467,plain,
( accept_population(X1,X2,X3)
| ~ less(X3,X4)
| ~ accept_population(X1,X2,X4) ),
i_0_6 ).
cnf(c_0_468,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference(spm,[status(thm)],[c_0_457,c_0_455]) ).
cnf(c_0_469,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_460])]) ).
cnf(c_0_470,plain,
( rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_471,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
i_0_396 ).
cnf(c_0_472,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_464])]) ).
cnf(c_0_473,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_474,plain,
( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
| ~ less(X1,n78) ),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_475,plain,
less(n75,n78),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_471])]) ).
cnf(c_0_476,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_472,c_0_473])]) ).
cnf(c_0_477,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_476]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT020+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 05:01:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 25.23/4.56 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 25.23/4.56 # Version: 2.1pre011
% 25.23/4.56 # Preprocessing time : 0.026 s
% 25.23/4.56
% 25.23/4.56 # Proof found!
% 25.23/4.56 # SZS status Theorem
% 25.23/4.56 # SZS output start CNFRefutation
% See solution above
% 25.23/4.56 # Proof object total steps : 75
% 25.23/4.56 # Proof object clause steps : 50
% 25.23/4.56 # Proof object formula steps : 25
% 25.23/4.56 # Proof object conjectures : 2
% 25.23/4.56 # Proof object clause conjectures : 1
% 25.23/4.56 # Proof object formula conjectures : 1
% 25.23/4.56 # Proof object initial clauses used : 25
% 25.23/4.56 # Proof object initial formulas used : 25
% 25.23/4.56 # Proof object generating inferences : 20
% 25.23/4.56 # Proof object simplifying inferences : 15
% 25.23/4.56 # Training examples: 0 positive, 0 negative
% 25.23/4.56 # Parsed axioms : 402
% 25.23/4.56 # Removed by relevancy pruning/SinE : 0
% 25.23/4.56 # Initial clauses : 402
% 25.23/4.56 # Removed in clause preprocessing : 0
% 25.23/4.56 # Initial clauses in saturation : 402
% 25.23/4.56 # Processed clauses : 12440
% 25.23/4.56 # ...of these trivial : 4354
% 25.23/4.56 # ...subsumed : 2724
% 25.23/4.56 # ...remaining for further processing : 5362
% 25.23/4.56 # Other redundant clauses eliminated : 2
% 25.23/4.56 # Clauses deleted for lack of memory : 0
% 25.23/4.56 # Backward-subsumed : 311
% 25.23/4.56 # Backward-rewritten : 349
% 25.23/4.56 # Generated clauses : 281327
% 25.23/4.56 # ...of the previous two non-trivial : 80140
% 25.23/4.56 # Contextual simplify-reflections : 6997
% 25.23/4.56 # Paramodulations : 280971
% 25.23/4.56 # Factorizations : 354
% 25.23/4.56 # Equation resolutions : 2
% 25.23/4.56 # Propositional unsat checks : 1
% 25.23/4.56 # Propositional unsat check successes : 0
% 25.23/4.56 # Current number of processed clauses : 4700
% 25.23/4.56 # Positive orientable unit clauses : 1746
% 25.23/4.56 # Positive unorientable unit clauses: 0
% 25.23/4.56 # Negative unit clauses : 463
% 25.23/4.56 # Non-unit-clauses : 2491
% 25.23/4.56 # Current number of unprocessed clauses: 51990
% 25.23/4.56 # ...number of literals in the above : 198378
% 25.23/4.56 # Current number of archived formulas : 0
% 25.23/4.56 # Current number of archived clauses : 660
% 25.23/4.56 # Clause-clause subsumption calls (NU) : 1322092
% 25.23/4.56 # Rec. Clause-clause subsumption calls : 718921
% 25.23/4.56 # Non-unit clause-clause subsumptions : 9658
% 25.23/4.56 # Unit Clause-clause subsumption calls : 378882
% 25.23/4.56 # Rewrite failures with RHS unbound : 0
% 25.23/4.56 # BW rewrite match attempts : 15027
% 25.23/4.56 # BW rewrite match successes : 341
% 25.23/4.56 # Condensation attempts : 0
% 25.23/4.56 # Condensation successes : 0
% 25.23/4.56 # Termbank termtop insertions : 3052795
% 25.23/4.56
% 25.23/4.56 # -------------------------------------------------
% 25.23/4.56 # User time : 2.010 s
% 25.23/4.56 # System time : 0.042 s
% 25.23/4.56 # Total time : 2.052 s
% 25.23/4.56 # ...preprocessing : 0.026 s
% 25.23/4.56 # ...main loop : 2.026 s
% 25.23/4.56 # Maximum resident set size: 57816 pages
% 25.23/4.56
%------------------------------------------------------------------------------