TSTP Solution File: AGT011+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : AGT011+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 11:57:03 EDT 2022
% Result : Theorem 31.80s 5.55s
% Output : CNFRefutation 31.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of clauses : 81 ( 54 unt; 0 nHn; 74 RR)
% Number of literals : 127 ( 0 equ; 50 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 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 : 59 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_701,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-c3mprsgt/lgb.p',i_0_701) ).
cnf(i_0_723,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_723) ).
cnf(i_0_759,plain,
( rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X4))
| ~ rdn_positive_less(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_759) ).
cnf(i_0_752,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_752) ).
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-c3mprsgt/lgb.p',i_0_6) ).
cnf(i_0_181,plain,
accept_population(countryamedicalorganization,atheist,n30),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_181) ).
cnf(i_0_719,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_719) ).
cnf(i_0_751,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_751) ).
cnf(i_0_718,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_718) ).
cnf(i_0_711,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_711) ).
cnf(i_0_714,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_714) ).
cnf(i_0_218,plain,
accept_population(countryamedicalorganization,muslim,n1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_218) ).
cnf(i_0_710,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_710) ).
cnf(i_0_750,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_750) ).
cnf(i_0_735,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_735) ).
cnf(i_0_747,plain,
( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
| ~ rdn_non_zero(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_747) ).
cnf(i_0_748,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_748) ).
cnf(i_0_738,plain,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_738) ).
cnf(i_0_206,plain,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_206) ).
cnf(i_0_712,plain,
rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_712) ).
cnf(i_0_709,negated_conjecture,
accept_population(countryamedicalorganization,native,n100),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_709) ).
cnf(i_0_724,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_724) ).
cnf(i_0_70,plain,
( accept_city(X1,coastvillage)
| ~ accept_population(X1,atheist,n12)
| ~ accept_population(X1,christian,n3)
| ~ accept_population(X1,muslim,n0)
| ~ accept_population(X1,native,n85)
| ~ accept_population(X1,other,n0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_70) ).
cnf(i_0_216,plain,
accept_population(countryamedicalorganization,other,n0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_216) ).
cnf(i_0_126,plain,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c3mprsgt/lgb.p',i_0_126) ).
cnf(c_0_785,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
i_0_701 ).
cnf(c_0_786,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
i_0_723 ).
cnf(c_0_787,plain,
( rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X4))
| ~ rdn_positive_less(X2,X4) ),
i_0_759 ).
cnf(c_0_788,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
i_0_752 ).
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(countryamedicalorganization,atheist,n30),
i_0_181 ).
cnf(c_0_791,plain,
( less(X1,n30)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n3))) ),
inference(spm,[status(thm)],[c_0_785,c_0_786]) ).
cnf(c_0_792,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
i_0_719 ).
cnf(c_0_793,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n2)),rdn(rdnn(X2),rdnn(n3))),
inference(spm,[status(thm)],[c_0_787,c_0_788]) ).
cnf(c_0_794,plain,
( accept_population(countryamedicalorganization,atheist,X1)
| ~ less(X1,n30) ),
inference(spm,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_795,plain,
less(n20,n30),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_792]),c_0_793])]) ).
cnf(c_0_796,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
i_0_751 ).
cnf(c_0_797,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
i_0_718 ).
cnf(c_0_798,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
i_0_711 ).
cnf(c_0_799,plain,
accept_population(countryamedicalorganization,atheist,n20),
inference(spm,[status(thm)],[c_0_794,c_0_795]) ).
cnf(c_0_800,plain,
( less(X1,n20)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_785,c_0_792]) ).
cnf(c_0_801,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
i_0_714 ).
cnf(c_0_802,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n1)),rdn(rdnn(X2),rdnn(n2))),
inference(spm,[status(thm)],[c_0_787,c_0_796]) ).
cnf(c_0_803,plain,
accept_population(countryamedicalorganization,muslim,n1),
i_0_218 ).
cnf(c_0_804,plain,
( less(X1,n1)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n1)) ),
inference(spm,[status(thm)],[c_0_785,c_0_797]) ).
cnf(c_0_805,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
i_0_710 ).
cnf(c_0_806,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
i_0_750 ).
cnf(c_0_807,plain,
( less(X1,n100)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))) ),
inference(spm,[status(thm)],[c_0_785,c_0_798]) ).
cnf(c_0_808,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
i_0_735 ).
cnf(c_0_809,plain,
( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
| ~ rdn_non_zero(X3) ),
i_0_747 ).
cnf(c_0_810,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
i_0_748 ).
cnf(c_0_811,plain,
rdn_non_zero_digit(rdnn(n1)),
i_0_738 ).
cnf(c_0_812,plain,
accept_population(countryamedicalorganization,christian,n20),
i_0_206 ).
cnf(c_0_813,plain,
rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))),
i_0_712 ).
cnf(c_0_814,plain,
( accept_population(countryamedicalorganization,atheist,X1)
| ~ less(X1,n20) ),
inference(spm,[status(thm)],[c_0_789,c_0_799]) ).
cnf(c_0_815,plain,
less(n12,n20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_801]),c_0_802])]) ).
cnf(c_0_816,plain,
( accept_population(countryamedicalorganization,muslim,X1)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[c_0_789,c_0_803]) ).
cnf(c_0_817,plain,
less(n0,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_804,c_0_805]),c_0_806])]) ).
cnf(c_0_818,negated_conjecture,
accept_population(countryamedicalorganization,native,n100),
i_0_709 ).
cnf(c_0_819,plain,
( less(n85,n100)
| ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))) ),
inference(spm,[status(thm)],[c_0_807,c_0_808]) ).
cnf(c_0_820,plain,
( rdn_positive_less(rdn(rdnn(X1),rdnn(X2)),rdn(rdnn(X3),rdn(rdnn(X4),X5)))
| ~ rdn_non_zero(X5) ),
inference(spm,[status(thm)],[c_0_787,c_0_809]) ).
cnf(c_0_821,plain,
rdn_non_zero(rdnn(n1)),
inference(spm,[status(thm)],[c_0_810,c_0_811]) ).
cnf(c_0_822,plain,
( accept_population(countryamedicalorganization,christian,X1)
| ~ less(X1,n20) ),
inference(spm,[status(thm)],[c_0_789,c_0_812]) ).
cnf(c_0_823,plain,
less(n10,n20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_813]),c_0_802])]) ).
cnf(c_0_824,plain,
( less(X1,n10)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n1))) ),
inference(spm,[status(thm)],[c_0_785,c_0_813]) ).
cnf(c_0_825,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
i_0_724 ).
cnf(c_0_826,plain,
( accept_city(X1,coastvillage)
| ~ accept_population(X1,atheist,n12)
| ~ accept_population(X1,christian,n3)
| ~ accept_population(X1,muslim,n0)
| ~ accept_population(X1,native,n85)
| ~ accept_population(X1,other,n0) ),
i_0_70 ).
cnf(c_0_827,plain,
accept_population(countryamedicalorganization,atheist,n12),
inference(spm,[status(thm)],[c_0_814,c_0_815]) ).
cnf(c_0_828,plain,
accept_population(countryamedicalorganization,muslim,n0),
inference(spm,[status(thm)],[c_0_816,c_0_817]) ).
cnf(c_0_829,plain,
accept_population(countryamedicalorganization,other,n0),
i_0_216 ).
cnf(c_0_830,plain,
~ accept_city(countryamedicalorganization,coastvillage),
i_0_126 ).
cnf(c_0_831,negated_conjecture,
( accept_population(countryamedicalorganization,native,X1)
| ~ less(X1,n100) ),
inference(spm,[status(thm)],[c_0_789,c_0_818]) ).
cnf(c_0_832,plain,
less(n85,n100),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_820]),c_0_821])]) ).
cnf(c_0_833,plain,
accept_population(countryamedicalorganization,christian,n10),
inference(spm,[status(thm)],[c_0_822,c_0_823]) ).
cnf(c_0_834,plain,
( less(n3,n10)
| ~ rdn_positive_less(rdnn(n3),rdn(rdnn(n0),rdnn(n1))) ),
inference(spm,[status(thm)],[c_0_824,c_0_825]) ).
cnf(c_0_835,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,native,n85) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_826,c_0_827]),c_0_828]),c_0_829])]),c_0_830]) ).
cnf(c_0_836,negated_conjecture,
accept_population(countryamedicalorganization,native,n85),
inference(spm,[status(thm)],[c_0_831,c_0_832]) ).
cnf(c_0_837,plain,
( accept_population(countryamedicalorganization,christian,X1)
| ~ less(X1,n10) ),
inference(spm,[status(thm)],[c_0_789,c_0_833]) ).
cnf(c_0_838,plain,
less(n3,n10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_809]),c_0_821])]) ).
cnf(c_0_839,plain,
~ accept_population(countryamedicalorganization,christian,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_835,c_0_836])]) ).
cnf(c_0_840,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_838]),c_0_839]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT011+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 05:50:39 EDT 2022
% 0.12/0.34 % 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
% 31.80/5.55 # ENIGMATIC: Solved by autoschedule-lgb:
% 31.80/5.55 # No SInE strategy applied
% 31.80/5.55 # Trying AutoSched0 for 150 seconds
% 31.80/5.55 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 31.80/5.55 # and selection function SelectNewComplexAHP.
% 31.80/5.55 #
% 31.80/5.55 # Preprocessing time : 0.030 s
% 31.80/5.55 # Presaturation interreduction done
% 31.80/5.55
% 31.80/5.55 # Proof found!
% 31.80/5.55 # SZS status Theorem
% 31.80/5.55 # SZS output start CNFRefutation
% See solution above
% 31.80/5.55 # Training examples: 0 positive, 0 negative
% 31.80/5.55
% 31.80/5.55 # -------------------------------------------------
% 31.80/5.55 # User time : 3.006 s
% 31.80/5.55 # System time : 0.055 s
% 31.80/5.55 # Total time : 3.061 s
% 31.80/5.55 # Maximum resident set size: 7124 pages
% 31.80/5.55
%------------------------------------------------------------------------------