TSTP Solution File: AGT013+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : AGT013+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 37.91s 6.19s
% Output   : CNFRefutation 37.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   63 (  41 unt;   0 nHn;  63 RR)
%            Number of literals    :  105 (   0 equ;  44 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    :   22 (  22 usr;  19 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-34mj_mlu/lgb.p',i_0_754) ).

cnf(i_0_749,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_749) ).

cnf(i_0_750,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_750) ).

cnf(i_0_748,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_748) ).

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-34mj_mlu/lgb.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-34mj_mlu/lgb.p',i_0_726) ).

cnf(i_0_714,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_714) ).

cnf(i_0_725,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_725) ).

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-34mj_mlu/lgb.p',i_0_753) ).

cnf(i_0_741,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_741) ).

cnf(i_0_737,plain,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_737) ).

cnf(i_0_713,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_713) ).

cnf(i_0_747,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_747) ).

cnf(i_0_732,plain,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_732) ).

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-34mj_mlu/lgb.p',i_0_6) ).

cnf(i_0_194,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_194) ).

cnf(i_0_703,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,christian,n25),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_703) ).

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-34mj_mlu/lgb.p',i_0_76) ).

cnf(i_0_192,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_192) ).

cnf(i_0_191,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_191) ).

cnf(i_0_436,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_436) ).

cnf(i_0_371,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-34mj_mlu/lgb.p',i_0_371) ).

cnf(c_0_777,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_778,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    i_0_749 ).

cnf(c_0_779,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    i_0_750 ).

cnf(c_0_780,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n7))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_777,c_0_778]) ).

cnf(c_0_781,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    i_0_748 ).

cnf(c_0_782,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_783,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    i_0_726 ).

cnf(c_0_784,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n8))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
    inference(spm,[status(thm)],[c_0_777,c_0_779]) ).

cnf(c_0_785,plain,
    rdn_positive_less(rdnn(n5),rdnn(n7)),
    inference(spm,[status(thm)],[c_0_780,c_0_781]) ).

cnf(c_0_786,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    i_0_714 ).

cnf(c_0_787,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_782,c_0_783]) ).

cnf(c_0_788,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    i_0_725 ).

cnf(c_0_789,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_790,plain,
    rdn_positive_less(rdnn(n5),rdnn(n8)),
    inference(spm,[status(thm)],[c_0_784,c_0_785]) ).

cnf(c_0_791,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_741 ).

cnf(c_0_792,plain,
    rdn_non_zero_digit(rdnn(n7)),
    i_0_737 ).

cnf(c_0_793,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_782,c_0_786]) ).

cnf(c_0_794,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    i_0_713 ).

cnf(c_0_795,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    i_0_747 ).

cnf(c_0_796,plain,
    rdn_non_zero_digit(rdnn(n2)),
    i_0_732 ).

cnf(c_0_797,plain,
    ( accept_population(X1,X2,X3)
    | ~ less(X3,X4)
    | ~ accept_population(X1,X2,X4) ),
    i_0_6 ).

cnf(c_0_798,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    i_0_194 ).

cnf(c_0_799,plain,
    ( less(n75,n78)
    | ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))) ),
    inference(spm,[status(thm)],[c_0_787,c_0_788]) ).

cnf(c_0_800,plain,
    ( rdn_positive_less(rdn(rdnn(n5),X1),rdn(rdnn(n8),X1))
    | ~ rdn_non_zero(X1) ),
    inference(spm,[status(thm)],[c_0_789,c_0_790]) ).

cnf(c_0_801,plain,
    rdn_non_zero(rdnn(n7)),
    inference(spm,[status(thm)],[c_0_791,c_0_792]) ).

cnf(c_0_802,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,christian,n25),
    i_0_703 ).

cnf(c_0_803,plain,
    ( less(n24,n25)
    | ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) ),
    inference(spm,[status(thm)],[c_0_793,c_0_794]) ).

cnf(c_0_804,plain,
    ( rdn_positive_less(rdn(rdnn(n4),X1),rdn(rdnn(n5),X1))
    | ~ rdn_non_zero(X1) ),
    inference(spm,[status(thm)],[c_0_789,c_0_795]) ).

cnf(c_0_805,plain,
    rdn_non_zero(rdnn(n2)),
    inference(spm,[status(thm)],[c_0_791,c_0_796]) ).

cnf(c_0_806,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
    | ~ less(X1,n78) ),
    inference(spm,[status(thm)],[c_0_797,c_0_798]) ).

cnf(c_0_807,plain,
    less(n75,n78),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_800]),c_0_801])]) ).

cnf(c_0_808,negated_conjecture,
    ( accept_population(muslimcountrybhumanitarianorganization,christian,X1)
    | ~ less(X1,n25) ),
    inference(spm,[status(thm)],[c_0_797,c_0_802]) ).

cnf(c_0_809,plain,
    less(n24,n25),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_804]),c_0_805])]) ).

cnf(c_0_810,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_811,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(spm,[status(thm)],[c_0_806,c_0_807]) ).

cnf(c_0_812,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference(spm,[status(thm)],[c_0_808,c_0_809]) ).

cnf(c_0_813,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    i_0_192 ).

cnf(c_0_814,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    i_0_191 ).

cnf(c_0_815,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    i_0_436 ).

cnf(c_0_816,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    i_0_371 ).

cnf(c_0_817,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_811]),c_0_812]),c_0_813]),c_0_814]),c_0_815])]),c_0_816]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : AGT013+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 07:02:05 EDT 2022
% 0.13/0.34  % 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
% 37.91/6.19  # ENIGMATIC: Solved by autoschedule-lgb:
% 37.91/6.19  # No SInE strategy applied
% 37.91/6.19  # Trying AutoSched0 for 150 seconds
% 37.91/6.19  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 37.91/6.19  # and selection function SelectNewComplexAHP.
% 37.91/6.19  #
% 37.91/6.19  # Preprocessing time       : 0.030 s
% 37.91/6.19  # Presaturation interreduction done
% 37.91/6.19  
% 37.91/6.19  # Proof found!
% 37.91/6.19  # SZS status Theorem
% 37.91/6.19  # SZS output start CNFRefutation
% See solution above
% 37.91/6.19  # Training examples: 0 positive, 0 negative
% 37.91/6.19  
% 37.91/6.19  # -------------------------------------------------
% 37.91/6.19  # User time                : 3.801 s
% 37.91/6.19  # System time              : 0.050 s
% 37.91/6.19  # Total time               : 3.851 s
% 37.91/6.19  # Maximum resident set size: 7120 pages
% 37.91/6.19  
%------------------------------------------------------------------------------