TSTP Solution File: AGT018+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : AGT018+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 11:57:05 EDT 2022

% Result   : Theorem 22.24s 4.27s
% Output   : CNFRefutation 22.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   51 (  27 unt;   0 nHn;  49 RR)
%            Number of literals    :  103 (   0 equ;  58 neg)
%            Maximal clause size   :    6 (   2 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   :   43 (   2 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-cav4tzu0/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-cav4tzu0/input.p',i_0_726) ).

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-cav4tzu0/input.p',i_0_76) ).

cnf(i_0_703,negated_conjecture,
    accept_population(X1,christian,n24),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_703) ).

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-cav4tzu0/input.p',i_0_753) ).

cnf(i_0_371,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_371) ).

cnf(i_0_725,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_725) ).

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-cav4tzu0/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-cav4tzu0/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-cav4tzu0/input.p',i_0_749) ).

cnf(i_0_192,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_192) ).

cnf(i_0_741,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_741) ).

cnf(i_0_737,plain,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_737) ).

cnf(i_0_191,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/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/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_6) ).

cnf(i_0_194,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_194) ).

cnf(i_0_748,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/input.p',i_0_748) ).

cnf(i_0_436,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cav4tzu0/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,
    ( 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_776,negated_conjecture,
    accept_population(X1,christian,n24),
    i_0_703 ).

cnf(c_0_777,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_778,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_779,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    i_0_371 ).

cnf(c_0_780,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_775,c_0_776])]) ).

cnf(c_0_781,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_777,c_0_778]) ).

cnf(c_0_782,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    i_0_725 ).

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

cnf(c_0_785,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    i_0_749 ).

cnf(c_0_786,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
    inference(spm,[status(thm)],[c_0_779,c_0_780]) ).

cnf(c_0_787,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    i_0_192 ).

cnf(c_0_788,plain,
    ( less(n75,n78)
    | ~ rdn_non_zero(rdnn(n7))
    | ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
    inference(spm,[status(thm)],[c_0_781,c_0_782]) ).

cnf(c_0_789,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_741 ).

cnf(c_0_790,plain,
    rdn_non_zero_digit(rdnn(n7)),
    i_0_737 ).

cnf(c_0_791,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n8))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
    inference(spm,[status(thm)],[c_0_783,c_0_784]) ).

cnf(c_0_792,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n7))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_783,c_0_785]) ).

cnf(c_0_793,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_786,c_0_787])]) ).

cnf(c_0_794,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    i_0_191 ).

cnf(c_0_795,plain,
    ( accept_population(X1,X2,X3)
    | ~ less(X3,X4)
    | ~ accept_population(X1,X2,X4) ),
    i_0_6 ).

cnf(c_0_796,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    i_0_194 ).

cnf(c_0_797,plain,
    ( less(n75,n78)
    | ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_789]),c_0_790])]) ).

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_791,c_0_792]) ).

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

cnf(c_0_800,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_793,c_0_794])]) ).

cnf(c_0_801,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    i_0_436 ).

cnf(c_0_802,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
    | ~ less(X1,n78) ),
    inference(spm,[status(thm)],[c_0_795,c_0_796]) ).

cnf(c_0_803,plain,
    less(n75,n78),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_798]),c_0_799])]) ).

cnf(c_0_804,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_800,c_0_801])]) ).

cnf(c_0_805,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_803]),c_0_804]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : AGT018+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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 04:08:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox/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
% 22.24/4.27  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 22.24/4.27  # ENIGMA: LightGBM model '/export/starexec/sandbox/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)
% 22.24/4.27  # Preprocessing time       : 1.314 s
% 22.24/4.27  # Presaturation interreduction done
% 22.24/4.27  
% 22.24/4.27  # Proof found!
% 22.24/4.27  # SZS status Theorem
% 22.24/4.27  # SZS output start CNFRefutation
% See solution above
% 22.24/4.27  # Training examples: 0 positive, 0 negative
% 22.24/4.27  
% 22.24/4.27  # -------------------------------------------------
% 22.24/4.27  # User time                : 1.590 s
% 22.24/4.27  # System time              : 0.146 s
% 22.24/4.27  # Total time               : 1.736 s
% 22.24/4.27  # ...preprocessing         : 1.314 s
% 22.24/4.27  # ...main loop             : 0.422 s
% 22.24/4.27  # Maximum resident set size: 187836 pages
% 22.24/4.27  
%------------------------------------------------------------------------------