TSTP Solution File: AGT020+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : AGT020+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 40.78s 6.66s
% Output : CNFRefutation 40.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 48 ( 27 unt; 0 nHn; 46 RR)
% Number of literals : 94 ( 0 equ; 49 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 : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 45 ( 4 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-6jutf430/input.p',i_0_695) ).
cnf(i_0_726,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/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-6jutf430/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-6jutf430/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-6jutf430/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-6jutf430/input.p',i_0_749) ).
cnf(i_0_725,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_725) ).
cnf(i_0_748,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_748) ).
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-6jutf430/input.p',i_0_76) ).
cnf(i_0_703,negated_conjecture,
accept_population(X1,christian,X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_703) ).
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-6jutf430/input.p',i_0_6) ).
cnf(i_0_194,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_194) ).
cnf(i_0_741,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_741) ).
cnf(i_0_737,plain,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_737) ).
cnf(i_0_371,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_371) ).
cnf(i_0_192,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_192) ).
cnf(i_0_191,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_191) ).
cnf(i_0_436,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6jutf430/input.p',i_0_436) ).
cnf(c_0_773,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_774,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
i_0_726 ).
cnf(c_0_775,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_773,c_0_774]) ).
cnf(c_0_776,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_777,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_778,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
i_0_750 ).
cnf(c_0_779,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
i_0_749 ).
cnf(c_0_780,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_775,c_0_776]) ).
cnf(c_0_781,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
i_0_725 ).
cnf(c_0_782,plain,
( rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
inference(spm,[status(thm)],[c_0_777,c_0_778]) ).
cnf(c_0_783,plain,
( rdn_positive_less(rdnn(X1),rdnn(n7))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_777,c_0_779]) ).
cnf(c_0_784,plain,
( less(n75,n78)
| ~ rdn_non_zero(rdnn(n7))
| ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_780,c_0_781]) ).
cnf(c_0_785,plain,
( rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_782,c_0_783]) ).
cnf(c_0_786,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
i_0_748 ).
cnf(c_0_787,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_788,negated_conjecture,
accept_population(X1,christian,X2),
i_0_703 ).
cnf(c_0_789,plain,
( accept_population(X1,X2,X3)
| ~ less(X3,X4)
| ~ accept_population(X1,X2,X4) ),
i_0_6 ).
cnf(c_0_790,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
i_0_194 ).
cnf(c_0_791,plain,
( less(n75,n78)
| ~ rdn_non_zero(rdnn(n7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_785]),c_0_786])]) ).
cnf(c_0_792,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
i_0_741 ).
cnf(c_0_793,plain,
rdn_non_zero_digit(rdnn(n7)),
i_0_737 ).
cnf(c_0_794,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
i_0_371 ).
cnf(c_0_795,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_787,c_0_788])]) ).
cnf(c_0_796,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
i_0_192 ).
cnf(c_0_797,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
i_0_191 ).
cnf(c_0_798,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
i_0_436 ).
cnf(c_0_799,plain,
( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
| ~ less(X1,n78) ),
inference(spm,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_800,plain,
less(n75,n78),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_792]),c_0_793])]) ).
cnf(c_0_801,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_796]),c_0_797]),c_0_798])]) ).
cnf(c_0_802,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_800]),c_0_801]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT020+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 06:29:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 40.78/6.66 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 40.78/6.66 # Version: 2.1pre011
% 40.78/6.66 # Preprocessing time : 0.020 s
% 40.78/6.66
% 40.78/6.66 # Proof found!
% 40.78/6.66 # SZS status Theorem
% 40.78/6.66 # SZS output start CNFRefutation
% See solution above
% 40.78/6.66 # Proof object total steps : 48
% 40.78/6.66 # Proof object clause steps : 30
% 40.78/6.66 # Proof object formula steps : 18
% 40.78/6.66 # Proof object conjectures : 2
% 40.78/6.66 # Proof object clause conjectures : 1
% 40.78/6.66 # Proof object formula conjectures : 1
% 40.78/6.66 # Proof object initial clauses used : 18
% 40.78/6.66 # Proof object initial formulas used : 18
% 40.78/6.66 # Proof object generating inferences : 11
% 40.78/6.66 # Proof object simplifying inferences : 11
% 40.78/6.66 # Training examples: 0 positive, 0 negative
% 40.78/6.66 # Parsed axioms : 754
% 40.78/6.66 # Removed by relevancy pruning/SinE : 0
% 40.78/6.66 # Initial clauses : 754
% 40.78/6.66 # Removed in clause preprocessing : 0
% 40.78/6.66 # Initial clauses in saturation : 754
% 40.78/6.66 # Processed clauses : 16424
% 40.78/6.66 # ...of these trivial : 5959
% 40.78/6.66 # ...subsumed : 1533
% 40.78/6.66 # ...remaining for further processing : 8932
% 40.78/6.66 # Other redundant clauses eliminated : 2
% 40.78/6.66 # Clauses deleted for lack of memory : 0
% 40.78/6.66 # Backward-subsumed : 2276
% 40.78/6.66 # Backward-rewritten : 787
% 40.78/6.66 # Generated clauses : 439712
% 40.78/6.66 # ...of the previous two non-trivial : 81149
% 40.78/6.66 # Contextual simplify-reflections : 2189
% 40.78/6.66 # Paramodulations : 439628
% 40.78/6.66 # Factorizations : 82
% 40.78/6.66 # Equation resolutions : 2
% 40.78/6.66 # Propositional unsat checks : 1
% 40.78/6.66 # Propositional unsat check successes : 0
% 40.78/6.66 # Current number of processed clauses : 5867
% 40.78/6.66 # Positive orientable unit clauses : 2839
% 40.78/6.66 # Positive unorientable unit clauses: 0
% 40.78/6.66 # Negative unit clauses : 381
% 40.78/6.66 # Non-unit-clauses : 2647
% 40.78/6.66 # Current number of unprocessed clauses: 25537
% 40.78/6.66 # ...number of literals in the above : 78027
% 40.78/6.66 # Current number of archived formulas : 0
% 40.78/6.66 # Current number of archived clauses : 3063
% 40.78/6.66 # Clause-clause subsumption calls (NU) : 2724295
% 40.78/6.66 # Rec. Clause-clause subsumption calls : 390356
% 40.78/6.66 # Non-unit clause-clause subsumptions : 5262
% 40.78/6.66 # Unit Clause-clause subsumption calls : 703778
% 40.78/6.66 # Rewrite failures with RHS unbound : 0
% 40.78/6.66 # BW rewrite match attempts : 35393
% 40.78/6.66 # BW rewrite match successes : 474
% 40.78/6.66 # Condensation attempts : 0
% 40.78/6.66 # Condensation successes : 0
% 40.78/6.66 # Termbank termtop insertions : 4544922
% 40.78/6.66
% 40.78/6.66 # -------------------------------------------------
% 40.78/6.66 # User time : 3.955 s
% 40.78/6.66 # System time : 0.046 s
% 40.78/6.66 # Total time : 4.002 s
% 40.78/6.66 # ...preprocessing : 0.020 s
% 40.78/6.66 # ...main loop : 3.982 s
% 40.78/6.66 # Maximum resident set size: 59908 pages
% 40.78/6.66
%------------------------------------------------------------------------------