TSTP Solution File: AGT021+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : AGT021+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 181.17s 27.19s
% Output   : CNFRefutation 181.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   76 (  39 unt;   0 nHn;  65 RR)
%            Number of literals    :  138 (   0 equ;  67 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    :   23 (  23 usr;  20 con; 0-2 aty)
%            Number of variables   :   72 (  18 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/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_701) ).

cnf(i_0_720,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_720) ).

cnf(i_0_747,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
    | ~ rdn_non_zero(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_747) ).

cnf(i_0_723,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_723) ).

cnf(i_0_711,plain,
    rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_711) ).

cnf(i_0_73,plain,
    ( accept_population(X1,muslim,n0)
    | ~ accept_city(X1,sunsetpoint) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_73) ).

cnf(i_0_709,negated_conjecture,
    accept_city(X1,sunsetpoint),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_709) ).

cnf(i_0_71,plain,
    ( accept_population(X1,other,n0)
    | ~ accept_city(X1,sunsetpoint) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_71) ).

cnf(i_0_724,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_724) ).

cnf(i_0_759,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-qx5dqtp0/input.p',i_0_759) ).

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-qx5dqtp0/input.p',i_0_70) ).

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-qx5dqtp0/input.p',i_0_6) ).

cnf(i_0_219,plain,
    accept_population(countryamedicalorganization,christian,n24),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_219) ).

cnf(i_0_748,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_748) ).

cnf(i_0_739,plain,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_739) ).

cnf(i_0_714,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_714) ).

cnf(i_0_761,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-qx5dqtp0/input.p',i_0_761) ).

cnf(i_0_752,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_752) ).

cnf(i_0_735,plain,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_735) ).

cnf(i_0_126,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_126) ).

cnf(i_0_181,plain,
    accept_population(countryamedicalorganization,atheist,n30),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_181) ).

cnf(i_0_751,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_751) ).

cnf(i_0_72,plain,
    ( accept_population(X1,native,n100)
    | ~ accept_city(X1,sunsetpoint) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_72) ).

cnf(i_0_738,plain,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qx5dqtp0/input.p',i_0_738) ).

cnf(c_0_786,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_787,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    i_0_720 ).

cnf(c_0_788,plain,
    ( less(X1,n24)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdn(rdnn(n4),rdnn(n2))) ),
    inference(spm,[status(thm)],[c_0_786,c_0_787]) ).

cnf(c_0_789,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
    | ~ rdn_non_zero(X3) ),
    i_0_747 ).

cnf(c_0_790,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    i_0_723 ).

cnf(c_0_791,plain,
    rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    i_0_711 ).

cnf(c_0_792,plain,
    ( accept_population(X1,muslim,n0)
    | ~ accept_city(X1,sunsetpoint) ),
    i_0_73 ).

cnf(c_0_793,negated_conjecture,
    accept_city(X1,sunsetpoint),
    i_0_709 ).

cnf(c_0_794,plain,
    ( accept_population(X1,other,n0)
    | ~ accept_city(X1,sunsetpoint) ),
    i_0_71 ).

cnf(c_0_795,plain,
    ( less(X1,n24)
    | ~ rdn_non_zero(rdnn(n2))
    | ~ rdn_translate(X1,rdn_pos(rdnn(X2))) ),
    inference(spm,[status(thm)],[c_0_788,c_0_789]) ).

cnf(c_0_796,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    i_0_724 ).

cnf(c_0_797,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_786,c_0_790]) ).

cnf(c_0_798,plain,
    ( rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X4))
    | ~ rdn_positive_less(X2,X4) ),
    i_0_759 ).

cnf(c_0_799,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_786,c_0_791]) ).

cnf(c_0_800,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_801,plain,
    accept_population(X1,muslim,n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_792,c_0_793])]) ).

cnf(c_0_802,plain,
    accept_population(X1,other,n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_794,c_0_793])]) ).

cnf(c_0_803,plain,
    ( accept_population(X1,X2,X3)
    | ~ less(X3,X4)
    | ~ accept_population(X1,X2,X4) ),
    i_0_6 ).

cnf(c_0_804,plain,
    accept_population(countryamedicalorganization,christian,n24),
    i_0_219 ).

cnf(c_0_805,plain,
    ( less(n3,n24)
    | ~ rdn_non_zero(rdnn(n2)) ),
    inference(spm,[status(thm)],[c_0_795,c_0_796]) ).

cnf(c_0_806,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_748 ).

cnf(c_0_807,plain,
    rdn_non_zero_digit(rdnn(n2)),
    i_0_739 ).

cnf(c_0_808,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_797,c_0_798]) ).

cnf(c_0_809,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    i_0_714 ).

cnf(c_0_810,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    i_0_761 ).

cnf(c_0_811,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    i_0_752 ).

cnf(c_0_812,plain,
    ( less(X1,n100)
    | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X3)))
    | ~ rdn_positive_less(X3,rdn(rdnn(n0),rdnn(n1))) ),
    inference(spm,[status(thm)],[c_0_799,c_0_798]) ).

cnf(c_0_813,plain,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    i_0_735 ).

cnf(c_0_814,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    i_0_126 ).

cnf(c_0_815,plain,
    ( accept_city(X1,coastvillage)
    | ~ accept_population(X1,atheist,n12)
    | ~ accept_population(X1,christian,n3)
    | ~ accept_population(X1,native,n85) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_800,c_0_801]),c_0_802])]) ).

cnf(c_0_816,plain,
    ( accept_population(countryamedicalorganization,christian,X1)
    | ~ less(X1,n24) ),
    inference(spm,[status(thm)],[c_0_803,c_0_804]) ).

cnf(c_0_817,plain,
    less(n3,n24),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_806]),c_0_807])]) ).

cnf(c_0_818,plain,
    accept_population(countryamedicalorganization,atheist,n30),
    i_0_181 ).

cnf(c_0_819,plain,
    ( less(n12,n30)
    | ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
    inference(spm,[status(thm)],[c_0_808,c_0_809]) ).

cnf(c_0_820,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n2)) ),
    inference(spm,[status(thm)],[c_0_810,c_0_811]) ).

cnf(c_0_821,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    i_0_751 ).

cnf(c_0_822,plain,
    ( accept_population(X1,native,n100)
    | ~ accept_city(X1,sunsetpoint) ),
    i_0_72 ).

cnf(c_0_823,plain,
    ( less(n85,n100)
    | ~ rdn_positive_less(rdnn(n8),rdn(rdnn(n0),rdnn(n1))) ),
    inference(spm,[status(thm)],[c_0_812,c_0_813]) ).

cnf(c_0_824,plain,
    ( ~ accept_population(countryamedicalorganization,atheist,n12)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,native,n85) ),
    inference(spm,[status(thm)],[c_0_814,c_0_815]) ).

cnf(c_0_825,plain,
    accept_population(countryamedicalorganization,christian,n3),
    inference(spm,[status(thm)],[c_0_816,c_0_817]) ).

cnf(c_0_826,plain,
    ( accept_population(countryamedicalorganization,atheist,X1)
    | ~ less(X1,n30) ),
    inference(spm,[status(thm)],[c_0_803,c_0_818]) ).

cnf(c_0_827,plain,
    less(n12,n30),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_820]),c_0_821])]) ).

cnf(c_0_828,plain,
    accept_population(X1,native,n100),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_822,c_0_793])]) ).

cnf(c_0_829,plain,
    ( less(n85,n100)
    | ~ rdn_non_zero(rdnn(n1)) ),
    inference(spm,[status(thm)],[c_0_823,c_0_789]) ).

cnf(c_0_830,plain,
    rdn_non_zero_digit(rdnn(n1)),
    i_0_738 ).

cnf(c_0_831,plain,
    ( ~ accept_population(countryamedicalorganization,atheist,n12)
    | ~ accept_population(countryamedicalorganization,native,n85) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_824,c_0_825])]) ).

cnf(c_0_832,plain,
    accept_population(countryamedicalorganization,atheist,n12),
    inference(spm,[status(thm)],[c_0_826,c_0_827]) ).

cnf(c_0_833,plain,
    ( accept_population(X1,native,X2)
    | ~ less(X2,n100) ),
    inference(spm,[status(thm)],[c_0_803,c_0_828]) ).

cnf(c_0_834,plain,
    less(n85,n100),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_829,c_0_806]),c_0_830])]) ).

cnf(c_0_835,plain,
    ~ accept_population(countryamedicalorganization,native,n85),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_831,c_0_832])]) ).

cnf(c_0_836,plain,
    accept_population(X1,native,n85),
    inference(spm,[status(thm)],[c_0_833,c_0_834]) ).

cnf(c_0_837,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_835,c_0_836])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : AGT021+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n019.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 05:33:57 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 181.17/27.19  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 181.17/27.19  # Version: 2.1pre011
% 181.17/27.19  # Preprocessing time       : 0.018 s
% 181.17/27.19  
% 181.17/27.19  # Proof found!
% 181.17/27.19  # SZS status Theorem
% 181.17/27.19  # SZS output start CNFRefutation
% See solution above
% 181.17/27.19  # Proof object total steps             : 76
% 181.17/27.19  # Proof object clause steps            : 52
% 181.17/27.19  # Proof object formula steps           : 24
% 181.17/27.19  # Proof object conjectures             : 2
% 181.17/27.19  # Proof object clause conjectures      : 1
% 181.17/27.19  # Proof object formula conjectures     : 1
% 181.17/27.19  # Proof object initial clauses used    : 24
% 181.17/27.19  # Proof object initial formulas used   : 24
% 181.17/27.19  # Proof object generating inferences   : 21
% 181.17/27.19  # Proof object simplifying inferences  : 21
% 181.17/27.19  # Training examples: 0 positive, 0 negative
% 181.17/27.19  # Parsed axioms                        : 761
% 181.17/27.19  # Removed by relevancy pruning/SinE    : 0
% 181.17/27.19  # Initial clauses                      : 761
% 181.17/27.19  # Removed in clause preprocessing      : 0
% 181.17/27.19  # Initial clauses in saturation        : 761
% 181.17/27.19  # Processed clauses                    : 28526
% 181.17/27.19  # ...of these trivial                  : 8625
% 181.17/27.19  # ...subsumed                          : 5908
% 181.17/27.19  # ...remaining for further processing  : 13993
% 181.17/27.19  # Other redundant clauses eliminated   : 736
% 181.17/27.19  # Clauses deleted for lack of memory   : 0
% 181.17/27.19  # Backward-subsumed                    : 1643
% 181.17/27.19  # Backward-rewritten                   : 2960
% 181.17/27.19  # Generated clauses                    : 1115845
% 181.17/27.19  # ...of the previous two non-trivial   : 486143
% 181.17/27.19  # Contextual simplify-reflections      : 14066
% 181.17/27.19  # Paramodulations                      : 1109773
% 181.17/27.19  # Factorizations                       : 5336
% 181.17/27.19  # Equation resolutions                 : 736
% 181.17/27.19  # Propositional unsat checks           : 2
% 181.17/27.19  # Propositional unsat check successes  : 0
% 181.17/27.19  # Current number of processed clauses  : 9388
% 181.17/27.19  #    Positive orientable unit clauses  : 4442
% 181.17/27.19  #    Positive unorientable unit clauses: 0
% 181.17/27.19  #    Negative unit clauses             : 448
% 181.17/27.19  #    Non-unit-clauses                  : 4498
% 181.17/27.19  # Current number of unprocessed clauses: 392715
% 181.17/27.19  # ...number of literals in the above   : 5347470
% 181.17/27.19  # Current number of archived formulas  : 0
% 181.17/27.19  # Current number of archived clauses   : 4603
% 181.17/27.19  # Clause-clause subsumption calls (NU) : 15291371
% 181.17/27.19  # Rec. Clause-clause subsumption calls : 2193193
% 181.17/27.19  # Non-unit clause-clause subsumptions  : 20855
% 181.17/27.19  # Unit Clause-clause subsumption calls : 1349432
% 181.17/27.19  # Rewrite failures with RHS unbound    : 0
% 181.17/27.19  # BW rewrite match attempts            : 93617
% 181.17/27.19  # BW rewrite match successes           : 748
% 181.17/27.19  # Condensation attempts                : 0
% 181.17/27.19  # Condensation successes               : 0
% 181.17/27.19  # Termbank termtop insertions          : 15810233
% 181.17/27.19  
% 181.17/27.19  # -------------------------------------------------
% 181.17/27.19  # User time                : 20.542 s
% 181.17/27.19  # System time              : 0.338 s
% 181.17/27.19  # Total time               : 20.880 s
% 181.17/27.19  # ...preprocessing         : 0.018 s
% 181.17/27.19  # ...main loop             : 20.862 s
% 181.17/27.19  # Maximum resident set size: 525428 pages
% 181.17/27.19  
%------------------------------------------------------------------------------