TSTP Solution File: AGT012+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : AGT012+1 : 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 23.45s 4.42s
% Output   : CNFRefutation 23.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   78 (  41 unt;   0 nHn;  78 RR)
%            Number of literals    :  140 (   0 equ;  67 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    :   24 (  24 usr;  21 con; 0-2 aty)
%            Number of variables   :   71 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-vagg_0pq/input.p',i_0_340) ).

cnf(i_0_374,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_374) ).

cnf(i_0_4,plain,
    ( accept_city(X1,X2)
    | ~ accept_team(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_4) ).

cnf(i_0_168,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_168) ).

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-vagg_0pq/input.p',i_0_401) ).

cnf(i_0_23,plain,
    ( accept_population(X1,other,n1)
    | ~ accept_city(X1,cityb) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_23) ).

cnf(i_0_357,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_357) ).

cnf(i_0_373,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_373) ).

cnf(i_0_402,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-vagg_0pq/input.p',i_0_402) ).

cnf(i_0_398,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_398) ).

cnf(i_0_397,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_397) ).

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-vagg_0pq/input.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-vagg_0pq/input.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-vagg_0pq/input.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-vagg_0pq/input.p',i_0_253) ).

cnf(i_0_89,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybcivilorganization,townc,n6),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_89) ).

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-vagg_0pq/input.p',i_0_6) ).

cnf(i_0_349,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_349) ).

cnf(i_0_391,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_391) ).

cnf(i_0_27,plain,
    ( accept_population(X1,atheist,n78)
    | ~ accept_city(X1,cityb) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_27) ).

cnf(i_0_389,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_389) ).

cnf(i_0_385,plain,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_385) ).

cnf(i_0_25,plain,
    ( accept_population(X1,muslim,n1)
    | ~ accept_city(X1,cityb) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_25) ).

cnf(i_0_30,plain,
    ( accept_population(X1,native,n0)
    | ~ accept_city(X1,townc) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_30) ).

cnf(i_0_396,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_396) ).

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-vagg_0pq/input.p',i_0_88) ).

cnf(i_0_348,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vagg_0pq/input.p',i_0_348) ).

cnf(c_0_430,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_431,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    i_0_374 ).

cnf(c_0_432,plain,
    ( accept_city(X1,X2)
    | ~ accept_team(X1,X3,X2,X4) ),
    i_0_4 ).

cnf(c_0_433,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    i_0_168 ).

cnf(c_0_434,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_430,c_0_431]) ).

cnf(c_0_435,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_436,plain,
    ( accept_population(X1,other,n1)
    | ~ accept_city(X1,cityb) ),
    i_0_23 ).

cnf(c_0_437,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_438,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    i_0_357 ).

cnf(c_0_439,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_434,c_0_435]) ).

cnf(c_0_440,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    i_0_373 ).

cnf(c_0_441,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    i_0_402 ).

cnf(c_0_442,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    i_0_398 ).

cnf(c_0_443,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    i_0_397 ).

cnf(c_0_444,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_445,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    i_0_252 ).

cnf(c_0_446,plain,
    ( accept_leader(X1,X2)
    | ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
    i_0_9 ).

cnf(c_0_447,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    i_0_253 ).

cnf(c_0_448,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybcivilorganization,townc,n6),
    i_0_89 ).

cnf(c_0_449,plain,
    ( accept_population(X1,X2,X3)
    | ~ less(X3,X4)
    | ~ accept_population(X1,X2,X4) ),
    i_0_6 ).

cnf(c_0_450,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n1),
    inference(spm,[status(thm)],[c_0_436,c_0_437]) ).

cnf(c_0_451,plain,
    ( less(X1,n1)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdnn(n1)) ),
    inference(spm,[status(thm)],[c_0_430,c_0_438]) ).

cnf(c_0_452,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    i_0_349 ).

cnf(c_0_453,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    i_0_391 ).

cnf(c_0_454,plain,
    ( accept_population(X1,atheist,n78)
    | ~ accept_city(X1,cityb) ),
    i_0_27 ).

cnf(c_0_455,plain,
    ( less(n75,n78)
    | ~ rdn_non_zero(rdnn(n7))
    | ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_456,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_389 ).

cnf(c_0_457,plain,
    rdn_non_zero_digit(rdnn(n7)),
    i_0_385 ).

cnf(c_0_458,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n8))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_459,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n7))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_441,c_0_443]) ).

cnf(c_0_460,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(spm,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_461,plain,
    accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
    inference(spm,[status(thm)],[c_0_446,c_0_447]) ).

cnf(c_0_462,plain,
    ( accept_population(X1,muslim,n1)
    | ~ accept_city(X1,cityb) ),
    i_0_25 ).

cnf(c_0_463,plain,
    ( accept_population(X1,native,n0)
    | ~ accept_city(X1,townc) ),
    i_0_30 ).

cnf(c_0_464,plain,
    accept_city(muslimcountrybhumanitarianorganization,townc),
    inference(spm,[status(thm)],[c_0_432,c_0_448]) ).

cnf(c_0_465,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,other,X1)
    | ~ less(X1,n1) ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_466,plain,
    less(n0,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_453])]) ).

cnf(c_0_467,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    inference(spm,[status(thm)],[c_0_454,c_0_437]) ).

cnf(c_0_468,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_455,c_0_456]),c_0_457])]) ).

cnf(c_0_469,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n8))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_470,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    i_0_396 ).

cnf(c_0_471,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_460,c_0_461])]) ).

cnf(c_0_472,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_473,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    i_0_348 ).

cnf(c_0_474,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(spm,[status(thm)],[c_0_462,c_0_437]) ).

cnf(c_0_475,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(spm,[status(thm)],[c_0_463,c_0_464]) ).

cnf(c_0_476,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(spm,[status(thm)],[c_0_465,c_0_466]) ).

cnf(c_0_477,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
    | ~ less(X1,n78) ),
    inference(spm,[status(thm)],[c_0_449,c_0_467]) ).

cnf(c_0_478,plain,
    less(n75,n78),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_470])]) ).

cnf(c_0_479,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    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_471,c_0_472]),c_0_473]),c_0_474]),c_0_475]),c_0_476])]) ).

cnf(c_0_480,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_479]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : AGT012+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun  4 06:53:49 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 23.45/4.42  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 23.45/4.42  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 17; version: 991; iters: 150)
% 23.45/4.42  # Preprocessing time       : 1.234 s
% 23.45/4.42  
% 23.45/4.42  # Proof found!
% 23.45/4.42  # SZS status Theorem
% 23.45/4.42  # SZS output start CNFRefutation
% See solution above
% 23.45/4.42  # Training examples: 0 positive, 0 negative
% 23.45/4.42  
% 23.45/4.42  # -------------------------------------------------
% 23.45/4.42  # User time                : 1.731 s
% 23.45/4.42  # System time              : 0.148 s
% 23.45/4.42  # Total time               : 1.880 s
% 23.45/4.42  # ...preprocessing         : 1.234 s
% 23.45/4.42  # ...main loop             : 0.645 s
% 23.45/4.42  # Maximum resident set size: 176468 pages
% 23.45/4.42  
%------------------------------------------------------------------------------