TSTP Solution File: AGT022+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : AGT022+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 11:57:06 EDT 2022

% Result   : Theorem 19.61s 4.22s
% Output   : CNFRefutation 19.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   74 (  44 unt;   0 nHn;  68 RR)
%            Number of literals    :  131 (   0 equ;  62 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   :   66 (  15 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/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_695) ).

cnf(i_0_712,plain,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_712) ).

cnf(i_0_752,plain,
    ( rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X4))
    | ~ rdn_positive_less(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_752) ).

cnf(i_0_705,plain,
    rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_705) ).

cnf(i_0_711,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_711) ).

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-m7dkao9r/lgb.p',i_0_6) ).

cnf(i_0_200,plain,
    accept_population(countryamedicalorganization,christian,n20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_200) ).

cnf(i_0_744,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_744) ).

cnf(i_0_740,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
    | ~ rdn_non_zero(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_740) ).

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/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_70) ).

cnf(i_0_703,negated_conjecture,
    accept_population(X1,native,X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_703) ).

cnf(i_0_212,plain,
    accept_population(countryamedicalorganization,muslim,n1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_212) ).

cnf(i_0_704,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_704) ).

cnf(i_0_743,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_743) ).

cnf(i_0_717,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_717) ).

cnf(i_0_716,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_716) ).

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/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_754) ).

cnf(i_0_745,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_745) ).

cnf(i_0_120,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_120) ).

cnf(i_0_210,plain,
    accept_population(countryamedicalorganization,other,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_210) ).

cnf(i_0_741,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_741) ).

cnf(i_0_731,plain,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_731) ).

cnf(i_0_175,plain,
    accept_population(countryamedicalorganization,atheist,n30),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_175) ).

cnf(i_0_707,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7dkao9r/lgb.p',i_0_707) ).

cnf(c_0_779,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_780,plain,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    i_0_712 ).

cnf(c_0_781,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_779,c_0_780]) ).

cnf(c_0_782,plain,
    ( rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X4))
    | ~ rdn_positive_less(X2,X4) ),
    i_0_752 ).

cnf(c_0_783,plain,
    rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))),
    i_0_705 ).

cnf(c_0_784,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    i_0_711 ).

cnf(c_0_785,plain,
    ( accept_population(X1,X2,X3)
    | ~ less(X3,X4)
    | ~ accept_population(X1,X2,X4) ),
    i_0_6 ).

cnf(c_0_786,plain,
    accept_population(countryamedicalorganization,christian,n20),
    i_0_200 ).

cnf(c_0_787,plain,
    ( less(X1,n20)
    | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X3)))
    | ~ rdn_positive_less(X3,rdnn(n2)) ),
    inference(spm,[status(thm)],[c_0_781,c_0_782]) ).

cnf(c_0_788,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    i_0_744 ).

cnf(c_0_789,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_779,c_0_783]) ).

cnf(c_0_790,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
    | ~ rdn_non_zero(X3) ),
    i_0_740 ).

cnf(c_0_791,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_792,negated_conjecture,
    accept_population(X1,native,X2),
    i_0_703 ).

cnf(c_0_793,plain,
    accept_population(countryamedicalorganization,muslim,n1),
    i_0_212 ).

cnf(c_0_794,plain,
    ( less(X1,n1)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdnn(n1)) ),
    inference(spm,[status(thm)],[c_0_779,c_0_784]) ).

cnf(c_0_795,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    i_0_704 ).

cnf(c_0_796,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    i_0_743 ).

cnf(c_0_797,plain,
    ( accept_population(countryamedicalorganization,christian,X1)
    | ~ less(X1,n20) ),
    inference(spm,[status(thm)],[c_0_785,c_0_786]) ).

cnf(c_0_798,plain,
    less(n10,n20),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_783]),c_0_788])]) ).

cnf(c_0_799,plain,
    ( less(X1,n10)
    | ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
    | ~ rdn_non_zero(rdnn(n1)) ),
    inference(spm,[status(thm)],[c_0_789,c_0_790]) ).

cnf(c_0_800,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    i_0_717 ).

cnf(c_0_801,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    i_0_716 ).

cnf(c_0_802,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_803,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    i_0_745 ).

cnf(c_0_804,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    i_0_120 ).

cnf(c_0_805,plain,
    ( accept_city(X1,coastvillage)
    | ~ accept_population(X1,atheist,n12)
    | ~ accept_population(X1,christian,n3)
    | ~ accept_population(X1,muslim,n0)
    | ~ accept_population(X1,other,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_791,c_0_792])]) ).

cnf(c_0_806,plain,
    accept_population(countryamedicalorganization,other,n0),
    i_0_210 ).

cnf(c_0_807,plain,
    ( accept_population(countryamedicalorganization,muslim,X1)
    | ~ less(X1,n1) ),
    inference(spm,[status(thm)],[c_0_785,c_0_793]) ).

cnf(c_0_808,plain,
    less(n0,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_796])]) ).

cnf(c_0_809,plain,
    accept_population(countryamedicalorganization,christian,n10),
    inference(spm,[status(thm)],[c_0_797,c_0_798]) ).

cnf(c_0_810,plain,
    ( less(n3,n10)
    | ~ rdn_non_zero(rdnn(n1)) ),
    inference(spm,[status(thm)],[c_0_799,c_0_800]) ).

cnf(c_0_811,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_741 ).

cnf(c_0_812,plain,
    rdn_non_zero_digit(rdnn(n1)),
    i_0_731 ).

cnf(c_0_813,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_779,c_0_801]) ).

cnf(c_0_814,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n2)) ),
    inference(spm,[status(thm)],[c_0_802,c_0_803]) ).

cnf(c_0_815,plain,
    ( ~ accept_population(countryamedicalorganization,atheist,n12)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,muslim,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_804,c_0_805]),c_0_806])]) ).

cnf(c_0_816,plain,
    accept_population(countryamedicalorganization,muslim,n0),
    inference(spm,[status(thm)],[c_0_807,c_0_808]) ).

cnf(c_0_817,plain,
    ( accept_population(countryamedicalorganization,christian,X1)
    | ~ less(X1,n10) ),
    inference(spm,[status(thm)],[c_0_785,c_0_809]) ).

cnf(c_0_818,plain,
    less(n3,n10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_811]),c_0_812])]) ).

cnf(c_0_819,plain,
    accept_population(countryamedicalorganization,atheist,n30),
    i_0_175 ).

cnf(c_0_820,plain,
    ( less(X1,n30)
    | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X3)))
    | ~ rdn_positive_less(X3,rdnn(n3)) ),
    inference(spm,[status(thm)],[c_0_813,c_0_782]) ).

cnf(c_0_821,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    i_0_707 ).

cnf(c_0_822,plain,
    rdn_positive_less(rdnn(n1),rdnn(n3)),
    inference(spm,[status(thm)],[c_0_814,c_0_788]) ).

cnf(c_0_823,plain,
    ( ~ accept_population(countryamedicalorganization,atheist,n12)
    | ~ accept_population(countryamedicalorganization,christian,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_815,c_0_816])]) ).

cnf(c_0_824,plain,
    accept_population(countryamedicalorganization,christian,n3),
    inference(spm,[status(thm)],[c_0_817,c_0_818]) ).

cnf(c_0_825,plain,
    ( accept_population(countryamedicalorganization,atheist,X1)
    | ~ less(X1,n30) ),
    inference(spm,[status(thm)],[c_0_785,c_0_819]) ).

cnf(c_0_826,plain,
    less(n12,n30),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_821]),c_0_822])]) ).

cnf(c_0_827,plain,
    ~ accept_population(countryamedicalorganization,atheist,n12),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_823,c_0_824])]) ).

cnf(c_0_828,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_825,c_0_826]),c_0_827]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : AGT022+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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 07:24:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.43  # ENIGMATIC: Selected SinE mode:
% 0.19/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 19.61/4.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 19.61/4.22  # No SInE strategy applied
% 19.61/4.22  # Trying AutoSched0 for 150 seconds
% 19.61/4.22  # AutoSched0-Mode selected heuristic G_E___107_C18_F1_AE_Q4_CS_SP_CO_S0Y
% 19.61/4.22  # and selection function SelectMaxLComplexAvoidPosPred.
% 19.61/4.22  #
% 19.61/4.22  # Preprocessing time       : 0.032 s
% 19.61/4.22  
% 19.61/4.22  # Proof found!
% 19.61/4.22  # SZS status Theorem
% 19.61/4.22  # SZS output start CNFRefutation
% See solution above
% 19.61/4.22  # Training examples: 0 positive, 0 negative
% 19.61/4.22  
% 19.61/4.22  # -------------------------------------------------
% 19.61/4.22  # User time                : 1.278 s
% 19.61/4.22  # System time              : 0.039 s
% 19.61/4.22  # Total time               : 1.317 s
% 19.61/4.22  # Maximum resident set size: 7124 pages
% 19.61/4.22  
%------------------------------------------------------------------------------