TSTP Solution File: AGT025+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : AGT025+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 11:57:07 EDT 2022
% Result : Theorem 42.36s 6.73s
% Output : CNFRefutation 42.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of clauses : 62 ( 37 unt; 0 nHn; 58 RR)
% Number of literals : 112 ( 0 equ; 54 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-2 aty)
% Number of variables : 53 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_695,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_695) ).
cnf(i_0_714,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_714) ).
cnf(i_0_726,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_726) ).
cnf(i_0_753,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/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_753) ).
cnf(i_0_754,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/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_754) ).
cnf(i_0_750,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_750) ).
cnf(i_0_749,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_749) ).
cnf(i_0_713,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_713) ).
cnf(i_0_747,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_747) ).
cnf(i_0_725,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_725) ).
cnf(i_0_6,plain,
( accept_population(X1,X2,X3)
| ~ less(X3,X4)
| ~ accept_population(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_6) ).
cnf(i_0_703,negated_conjecture,
accept_population(X1,X2,n25),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_703) ).
cnf(i_0_741,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_741) ).
cnf(i_0_732,plain,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_732) ).
cnf(i_0_748,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_748) ).
cnf(i_0_371,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_371) ).
cnf(i_0_76,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/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_76) ).
cnf(i_0_192,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_192) ).
cnf(i_0_191,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_191) ).
cnf(i_0_436,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_436) ).
cnf(i_0_194,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_194) ).
cnf(i_0_737,plain,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o2yov3vm/input.p',i_0_737) ).
cnf(c_0_777,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
i_0_695 ).
cnf(c_0_778,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
i_0_714 ).
cnf(c_0_779,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
i_0_726 ).
cnf(c_0_780,plain,
( less(X1,n25)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_777,c_0_778]) ).
cnf(c_0_781,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_753 ).
cnf(c_0_782,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_777,c_0_779]) ).
cnf(c_0_783,plain,
( rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X3),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
i_0_754 ).
cnf(c_0_784,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
i_0_750 ).
cnf(c_0_785,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
i_0_749 ).
cnf(c_0_786,plain,
( less(X1,n25)
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),rdnn(n2))))
| ~ rdn_positive_less(rdnn(X2),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_780,c_0_781]) ).
cnf(c_0_787,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
i_0_713 ).
cnf(c_0_788,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
i_0_747 ).
cnf(c_0_789,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_782,c_0_781]) ).
cnf(c_0_790,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
i_0_725 ).
cnf(c_0_791,plain,
( rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
inference(spm,[status(thm)],[c_0_783,c_0_784]) ).
cnf(c_0_792,plain,
( rdn_positive_less(rdnn(X1),rdnn(n7))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_783,c_0_785]) ).
cnf(c_0_793,plain,
( accept_population(X1,X2,X3)
| ~ less(X3,X4)
| ~ accept_population(X1,X2,X4) ),
i_0_6 ).
cnf(c_0_794,negated_conjecture,
accept_population(X1,X2,n25),
i_0_703 ).
cnf(c_0_795,plain,
( less(n24,n25)
| ~ rdn_non_zero(rdnn(n2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_786,c_0_787]),c_0_788])]) ).
cnf(c_0_796,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
i_0_741 ).
cnf(c_0_797,plain,
rdn_non_zero_digit(rdnn(n2)),
i_0_732 ).
cnf(c_0_798,plain,
( less(n75,n78)
| ~ rdn_non_zero(rdnn(n7))
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_799,plain,
( rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_791,c_0_792]) ).
cnf(c_0_800,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
i_0_748 ).
cnf(c_0_801,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
i_0_371 ).
cnf(c_0_802,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_76 ).
cnf(c_0_803,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
i_0_192 ).
cnf(c_0_804,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
i_0_191 ).
cnf(c_0_805,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
i_0_436 ).
cnf(c_0_806,negated_conjecture,
( accept_population(X1,X2,X3)
| ~ less(X3,n25) ),
inference(spm,[status(thm)],[c_0_793,c_0_794]) ).
cnf(c_0_807,plain,
less(n24,n25),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_795,c_0_796]),c_0_797])]) ).
cnf(c_0_808,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
i_0_194 ).
cnf(c_0_809,plain,
( less(n75,n78)
| ~ rdn_non_zero(rdnn(n7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_800])]) ).
cnf(c_0_810,plain,
rdn_non_zero_digit(rdnn(n7)),
i_0_737 ).
cnf(c_0_811,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_802]),c_0_803]),c_0_804]),c_0_805])]) ).
cnf(c_0_812,negated_conjecture,
accept_population(X1,X2,n24),
inference(spm,[status(thm)],[c_0_806,c_0_807]) ).
cnf(c_0_813,plain,
( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
| ~ less(X1,n78) ),
inference(spm,[status(thm)],[c_0_793,c_0_808]) ).
cnf(c_0_814,plain,
less(n75,n78),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_809,c_0_796]),c_0_810])]) ).
cnf(c_0_815,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_811,c_0_812])]) ).
cnf(c_0_816,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_814]),c_0_815]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : AGT025+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 4 05:01:03 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.46 # Parsing /export/starexec/sandbox/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
% 42.36/6.73 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 42.36/6.73 # Version: 2.1pre011
% 42.36/6.73 # Preprocessing time : 0.031 s
% 42.36/6.73
% 42.36/6.73 # Proof found!
% 42.36/6.73 # SZS status Theorem
% 42.36/6.73 # SZS output start CNFRefutation
% See solution above
% 42.36/6.73 # Proof object total steps : 62
% 42.36/6.73 # Proof object clause steps : 40
% 42.36/6.73 # Proof object formula steps : 22
% 42.36/6.73 # Proof object conjectures : 4
% 42.36/6.73 # Proof object clause conjectures : 3
% 42.36/6.73 # Proof object formula conjectures : 1
% 42.36/6.73 # Proof object initial clauses used : 22
% 42.36/6.73 # Proof object initial formulas used : 22
% 42.36/6.73 # Proof object generating inferences : 17
% 42.36/6.73 # Proof object simplifying inferences : 15
% 42.36/6.73 # Training examples: 0 positive, 0 negative
% 42.36/6.73 # Parsed axioms : 754
% 42.36/6.73 # Removed by relevancy pruning/SinE : 0
% 42.36/6.73 # Initial clauses : 754
% 42.36/6.73 # Removed in clause preprocessing : 0
% 42.36/6.73 # Initial clauses in saturation : 754
% 42.36/6.73 # Processed clauses : 7100
% 42.36/6.73 # ...of these trivial : 1190
% 42.36/6.73 # ...subsumed : 1630
% 42.36/6.73 # ...remaining for further processing : 4280
% 42.36/6.73 # Other redundant clauses eliminated : 41
% 42.36/6.73 # Clauses deleted for lack of memory : 0
% 42.36/6.73 # Backward-subsumed : 515
% 42.36/6.73 # Backward-rewritten : 704
% 42.36/6.73 # Generated clauses : 369941
% 42.36/6.73 # ...of the previous two non-trivial : 173738
% 42.36/6.73 # Contextual simplify-reflections : 3756
% 42.36/6.73 # Paramodulations : 368529
% 42.36/6.73 # Factorizations : 1366
% 42.36/6.73 # Equation resolutions : 41
% 42.36/6.73 # Propositional unsat checks : 0
% 42.36/6.73 # Propositional unsat check successes : 0
% 42.36/6.73 # Current number of processed clauses : 3054
% 42.36/6.73 # Positive orientable unit clauses : 1072
% 42.36/6.73 # Positive unorientable unit clauses: 0
% 42.36/6.73 # Negative unit clauses : 451
% 42.36/6.73 # Non-unit-clauses : 1531
% 42.36/6.73 # Current number of unprocessed clauses: 111244
% 42.36/6.73 # ...number of literals in the above : 1048908
% 42.36/6.73 # Current number of archived formulas : 0
% 42.36/6.73 # Current number of archived clauses : 1224
% 42.36/6.73 # Clause-clause subsumption calls (NU) : 1200559
% 42.36/6.73 # Rec. Clause-clause subsumption calls : 132439
% 42.36/6.73 # Non-unit clause-clause subsumptions : 5525
% 42.36/6.73 # Unit Clause-clause subsumption calls : 228165
% 42.36/6.73 # Rewrite failures with RHS unbound : 0
% 42.36/6.73 # BW rewrite match attempts : 8813
% 42.36/6.73 # BW rewrite match successes : 614
% 42.36/6.73 # Condensation attempts : 0
% 42.36/6.73 # Condensation successes : 0
% 42.36/6.73 # Termbank termtop insertions : 4106757
% 42.36/6.73
% 42.36/6.73 # -------------------------------------------------
% 42.36/6.73 # User time : 4.153 s
% 42.36/6.73 # System time : 0.075 s
% 42.36/6.73 # Total time : 4.228 s
% 42.36/6.73 # ...preprocessing : 0.031 s
% 42.36/6.73 # ...main loop : 4.197 s
% 42.36/6.73 # Maximum resident set size: 130804 pages
% 42.36/6.73
%------------------------------------------------------------------------------