TSTP Solution File: AGT009+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : AGT009+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 11:57:02 EDT 2022

% Result   : Theorem 11.67s 2.90s
% Output   : CNFRefutation 11.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   61 (  29 unt;   0 nHn;  61 RR)
%            Number of literals    :  112 (   0 equ;  57 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-4 aty)
%            Number of functors    :   22 (  22 usr;  19 con; 0-2 aty)
%            Number of variables   :   60 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( accept_city(X1,X2)
    | ~ accept_team(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_4) ).

cnf(i_0_348,negated_conjecture,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_348) ).

cnf(i_0_10,plain,
    ( ~ accept_city(X1,X2)
    | ~ accept_leader(X1,X3)
    | ~ the_agent_not_in_any_proposed_teams(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_10) ).

cnf(i_0_252,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_252) ).

cnf(i_0_9,plain,
    ( accept_leader(X1,X2)
    | ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_9) ).

cnf(i_0_253,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_253) ).

cnf(i_0_340,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-ztsol5xf/lgb.p',i_0_340) ).

cnf(i_0_361,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_361) ).

cnf(i_0_15,plain,
    ( accept_population(X1,atheist,n75)
    | ~ accept_city(X1,citya) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_15) ).

cnf(i_0_12,plain,
    ( accept_population(X1,native,n0)
    | ~ accept_city(X1,citya) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_12) ).

cnf(i_0_11,plain,
    ( accept_population(X1,other,n0)
    | ~ accept_city(X1,citya) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_11) ).

cnf(i_0_326,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_326) ).

cnf(i_0_14,plain,
    ( accept_population(X1,christian,n25)
    | ~ accept_city(X1,citya) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_14) ).

cnf(i_0_360,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_360) ).

cnf(i_0_401,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-ztsol5xf/lgb.p',i_0_401) ).

cnf(i_0_395,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_395) ).

cnf(i_0_389,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_389) ).

cnf(i_0_380,plain,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_380) ).

cnf(i_0_88,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-ztsol5xf/lgb.p',i_0_88) ).

cnf(i_0_25,plain,
    ( accept_population(X1,muslim,n1)
    | ~ accept_city(X1,cityb) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ztsol5xf/lgb.p',i_0_25) ).

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-ztsol5xf/lgb.p',i_0_6) ).

cnf(c_0_423,plain,
    ( accept_city(X1,X2)
    | ~ accept_team(X1,X3,X2,X4) ),
    i_0_4 ).

cnf(c_0_424,negated_conjecture,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    i_0_348 ).

cnf(c_0_425,plain,
    ( ~ accept_city(X1,X2)
    | ~ accept_leader(X1,X3)
    | ~ the_agent_not_in_any_proposed_teams(X1,X3,X2) ),
    i_0_10 ).

cnf(c_0_426,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    i_0_252 ).

cnf(c_0_427,plain,
    ( accept_leader(X1,X2)
    | ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
    i_0_9 ).

cnf(c_0_428,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    i_0_253 ).

cnf(c_0_429,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    i_0_340 ).

cnf(c_0_430,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    i_0_361 ).

cnf(c_0_431,plain,
    ( accept_population(X1,atheist,n75)
    | ~ accept_city(X1,citya) ),
    i_0_15 ).

cnf(c_0_432,negated_conjecture,
    accept_city(muslimcountrybhumanitarianorganization,citya),
    inference(spm,[status(thm)],[c_0_423,c_0_424]) ).

cnf(c_0_433,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(spm,[status(thm)],[c_0_425,c_0_426]) ).

cnf(c_0_434,plain,
    accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
    inference(spm,[status(thm)],[c_0_427,c_0_428]) ).

cnf(c_0_435,plain,
    ( accept_population(X1,native,n0)
    | ~ accept_city(X1,citya) ),
    i_0_12 ).

cnf(c_0_436,plain,
    ( accept_population(X1,other,n0)
    | ~ accept_city(X1,citya) ),
    i_0_11 ).

cnf(c_0_437,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    i_0_326 ).

cnf(c_0_438,plain,
    ( accept_population(X1,christian,n25)
    | ~ accept_city(X1,citya) ),
    i_0_14 ).

cnf(c_0_439,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_429,c_0_430]) ).

cnf(c_0_440,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    i_0_360 ).

cnf(c_0_441,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_401 ).

cnf(c_0_442,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    i_0_395 ).

cnf(c_0_443,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_389 ).

cnf(c_0_444,plain,
    rdn_non_zero_digit(rdnn(n2)),
    i_0_380 ).

cnf(c_0_445,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_88 ).

cnf(c_0_446,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(spm,[status(thm)],[c_0_431,c_0_432]) ).

cnf(c_0_447,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_433,c_0_434])]) ).

cnf(c_0_448,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(spm,[status(thm)],[c_0_435,c_0_432]) ).

cnf(c_0_449,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(spm,[status(thm)],[c_0_436,c_0_432]) ).

cnf(c_0_450,plain,
    ( accept_population(X1,muslim,n1)
    | ~ accept_city(X1,cityb) ),
    i_0_25 ).

cnf(c_0_451,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(spm,[status(thm)],[c_0_423,c_0_437]) ).

cnf(c_0_452,plain,
    ( accept_population(X1,X2,X3)
    | ~ less(X3,X4)
    | ~ accept_population(X1,X2,X4) ),
    i_0_6 ).

cnf(c_0_453,plain,
    accept_population(muslimcountrybhumanitarianorganization,christian,n25),
    inference(spm,[status(thm)],[c_0_438,c_0_432]) ).

cnf(c_0_454,plain,
    ( less(n24,n25)
    | ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_455,plain,
    ( rdn_positive_less(rdn(rdnn(n4),X1),rdn(rdnn(n5),X1))
    | ~ rdn_non_zero(X1) ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_456,plain,
    rdn_non_zero(rdnn(n2)),
    inference(spm,[status(thm)],[c_0_443,c_0_444]) ).

cnf(c_0_457,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_446]),c_0_447]),c_0_448]),c_0_449])]) ).

cnf(c_0_458,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_459,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,christian,X1)
    | ~ less(X1,n25) ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_460,plain,
    less(n24,n25),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_456])]) ).

cnf(c_0_461,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_458])]) ).

cnf(c_0_462,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_461]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : AGT009+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 03:11:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.67/2.90  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.67/2.90  # No SInE strategy applied
% 11.67/2.90  # Trying AutoSched0 for 150 seconds
% 11.67/2.90  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 11.67/2.90  # and selection function SelectNewComplexAHP.
% 11.67/2.90  #
% 11.67/2.90  # Preprocessing time       : 0.029 s
% 11.67/2.90  # Presaturation interreduction done
% 11.67/2.90  
% 11.67/2.90  # Proof found!
% 11.67/2.90  # SZS status Theorem
% 11.67/2.90  # SZS output start CNFRefutation
% See solution above
% 11.67/2.90  # Training examples: 0 positive, 0 negative
% 11.67/2.90  
% 11.67/2.90  # -------------------------------------------------
% 11.67/2.90  # User time                : 0.401 s
% 11.67/2.90  # System time              : 0.016 s
% 11.67/2.90  # Total time               : 0.417 s
% 11.67/2.90  # Maximum resident set size: 7124 pages
% 11.67/2.90  
%------------------------------------------------------------------------------