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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : AGT024+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 23.76s 4.49s
% Output   : CNFRefutation 23.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   76 (  40 unt;   4 nHn;  69 RR)
%            Number of literals    :  146 (   7 equ;  76 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  19 con; 0-2 aty)
%            Number of variables   :   64 (   5 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-ubcq0baf/input.p',i_0_695) ).

cnf(i_0_726,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/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/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/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/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_754) ).

cnf(i_0_750,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_750) ).

cnf(i_0_749,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_749) ).

cnf(i_0_714,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_714) ).

cnf(i_0_371,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/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/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_76) ).

cnf(i_0_725,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_725) ).

cnf(i_0_192,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_192) ).

cnf(i_0_748,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_748) ).

cnf(i_0_713,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_713) ).

cnf(i_0_747,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_747) ).

cnf(i_0_191,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_191) ).

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-ubcq0baf/input.p',i_0_6) ).

cnf(i_0_194,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_194) ).

cnf(i_0_741,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_741) ).

cnf(i_0_737,plain,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_737) ).

cnf(i_0_732,plain,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_732) ).

cnf(i_0_703,negated_conjecture,
    accept_population(X1,christian,n25),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_703) ).

cnf(i_0_436,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_436) ).

cnf(i_0_701,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_701) ).

cnf(i_0_699,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_699) ).

cnf(i_0_700,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ubcq0baf/input.p',i_0_700) ).

cnf(c_0_780,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_781,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    i_0_726 ).

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_780,c_0_781]) ).

cnf(c_0_783,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_784,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_785,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    i_0_750 ).

cnf(c_0_786,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    i_0_749 ).

cnf(c_0_787,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    i_0_714 ).

cnf(c_0_788,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    i_0_371 ).

cnf(c_0_789,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_790,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_783]) ).

cnf(c_0_791,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    i_0_725 ).

cnf(c_0_792,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n8))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
    inference(spm,[status(thm)],[c_0_784,c_0_785]) ).

cnf(c_0_793,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n7))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_784,c_0_786]) ).

cnf(c_0_794,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_780,c_0_787]) ).

cnf(c_0_795,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
    inference(spm,[status(thm)],[c_0_788,c_0_789]) ).

cnf(c_0_796,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    i_0_192 ).

cnf(c_0_797,plain,
    ( less(n75,n78)
    | ~ rdn_non_zero(rdnn(n7))
    | ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
    inference(spm,[status(thm)],[c_0_790,c_0_791]) ).

cnf(c_0_798,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n8))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_792,c_0_793]) ).

cnf(c_0_799,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    i_0_748 ).

cnf(c_0_800,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_794,c_0_783]) ).

cnf(c_0_801,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    i_0_713 ).

cnf(c_0_802,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    i_0_747 ).

cnf(c_0_803,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_795,c_0_796])]) ).

cnf(c_0_804,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    i_0_191 ).

cnf(c_0_805,plain,
    ( accept_population(X1,X2,X3)
    | ~ less(X3,X4)
    | ~ accept_population(X1,X2,X4) ),
    i_0_6 ).

cnf(c_0_806,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    i_0_194 ).

cnf(c_0_807,plain,
    ( less(n75,n78)
    | ~ rdn_non_zero(rdnn(n7)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_798]),c_0_799])]) ).

cnf(c_0_808,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_741 ).

cnf(c_0_809,plain,
    rdn_non_zero_digit(rdnn(n7)),
    i_0_737 ).

cnf(c_0_810,plain,
    ( less(n24,n25)
    | ~ rdn_non_zero(rdnn(n2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_801]),c_0_802])]) ).

cnf(c_0_811,plain,
    rdn_non_zero_digit(rdnn(n2)),
    i_0_732 ).

cnf(c_0_812,negated_conjecture,
    accept_population(X1,christian,n25),
    i_0_703 ).

cnf(c_0_813,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_803,c_0_804])]) ).

cnf(c_0_814,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    i_0_436 ).

cnf(c_0_815,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
    | ~ less(X1,n78) ),
    inference(spm,[status(thm)],[c_0_805,c_0_806]) ).

cnf(c_0_816,plain,
    less(n75,n78),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_807,c_0_808]),c_0_809])]) ).

cnf(c_0_817,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    i_0_701 ).

cnf(c_0_818,plain,
    less(n24,n25),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_808]),c_0_811])]) ).

cnf(c_0_819,negated_conjecture,
    ( accept_population(X1,christian,X2)
    | ~ less(X2,n25) ),
    inference(spm,[status(thm)],[c_0_805,c_0_812]) ).

cnf(c_0_820,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    i_0_699 ).

cnf(c_0_821,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_813,c_0_814])]) ).

cnf(c_0_822,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(spm,[status(thm)],[c_0_815,c_0_816]) ).

cnf(c_0_823,plain,
    ~ less(n25,n24),
    inference(spm,[status(thm)],[c_0_817,c_0_818]) ).

cnf(c_0_824,negated_conjecture,
    ( X1 = n25
    | less(n25,X1)
    | accept_population(X2,christian,X1) ),
    inference(spm,[status(thm)],[c_0_819,c_0_820]) ).

cnf(c_0_825,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_821,c_0_822])]) ).

cnf(c_0_826,negated_conjecture,
    ( n25 = n24
    | accept_population(X1,christian,n24) ),
    inference(spm,[status(thm)],[c_0_823,c_0_824]) ).

cnf(c_0_827,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    i_0_700 ).

cnf(c_0_828,plain,
    n25 = n24,
    inference(spm,[status(thm)],[c_0_825,c_0_826]) ).

cnf(c_0_829,plain,
    ~ less(X1,X1),
    inference(er,[status(thm)],[c_0_827]) ).

cnf(c_0_830,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_818,c_0_828]),c_0_829]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : AGT024+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n022.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 03:11:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 23.76/4.49  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 23.76/4.49  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 23.76/4.49  # Preprocessing time       : 1.359 s
% 23.76/4.49  # Presaturation interreduction done
% 23.76/4.49  
% 23.76/4.49  # Proof found!
% 23.76/4.49  # SZS status Theorem
% 23.76/4.49  # SZS output start CNFRefutation
% See solution above
% 23.76/4.49  # Training examples: 0 positive, 0 negative
% 23.76/4.49  
% 23.76/4.49  # -------------------------------------------------
% 23.76/4.49  # User time                : 1.666 s
% 23.76/4.49  # System time              : 0.159 s
% 23.76/4.49  # Total time               : 1.825 s
% 23.76/4.49  # ...preprocessing         : 1.359 s
% 23.76/4.49  # ...main loop             : 0.466 s
% 23.76/4.49  # Maximum resident set size: 187780 pages
% 23.76/4.49  
%------------------------------------------------------------------------------