TSTP Solution File: SYO657-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% 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  : 300s
% DateTime : Fri Sep  1 04:37:32 EDT 2023

% Result   : Unsatisfiable 0.21s 0.64s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause_52)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ iLEQ(suc(Y),suc(X)) ),
    inference(cnf_transformation,[],[clause_52]) ).

cnf('2',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['1']) ).

cnf('3',plain,
    ( ~ 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_32]) ).

cnf('4',plain,
    'LE'(f(X),s(s('0'))),
    inference(cnf_transformation,[],[clause_17]) ).

cnf('5',plain,
    ( 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['2','5']) ).

cnf('7',plain,
    ( ~ 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_51]) ).

cnf('8',plain,
    ( ~ 'LE'(f(X0),s(s('0')))
    | 'E'(s('0'),f(X0))
    | 'LE'(f(X0),s('0')) ),
    inference(cnf_transformation,[],[clause_9]) ).

cnf('9',plain,
    'LE'(f(X0),s(s('0'))),
    inference(cnf_transformation,[],[clause_17]) ).

cnf('10',plain,
    ( 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['8','9']) ).

cnf('11',plain,
    ( 'E'(s('0'),f(suc(suc(X))))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['7','10']) ).

cnf('12',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['6','11']) ).

cnf('13',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_23]) ).

cnf('14',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['13','5']) ).

cnf('15',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['14','11']) ).

cnf('16',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_5]) ).

cnf('17',plain,
    ( ~ 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_45]) ).

cnf('18',plain,
    ( 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['17','4']) ).

cnf('19',plain,
    ( ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['16','18']) ).

cnf('20',plain,
    ( 'E'(s('0'),f(suc(X3)))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['3','4']) ).

cnf('21',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['19','20']) ).

cnf('22',plain,
    ( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['15','21']) ).

cnf('23',plain,
    ( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['22','11']) ).

cnf('24',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['12','23']) ).

cnf('25',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(Y))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ iLEQ(suc(Y),suc(X)) ),
    inference(cnf_transformation,[],[clause_33]) ).

cnf('26',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['25']) ).

cnf('27',plain,
    ( ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['26','18']) ).

cnf('28',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['27','20']) ).

cnf('29',plain,
    ( ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['24','28']) ).

cnf('30',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['29','23']) ).

cnf('31',plain,
    ( 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['30','11']) ).

cnf('32',plain,
    ( 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['31','7']) ).

cnf('33',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(cnf_transformation,[],[clause_41]) ).

cnf('34',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['32','33']) ).

cnf('35',plain,
    ( ~ 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_40]) ).

cnf('36',plain,
    ( 'E'(s('0'),f(suc(X)))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['10','35']) ).

cnf('37',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['6','36']) ).

cnf('38',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['14','36']) ).

cnf('39',plain,
    ( iLEQ(suc(suc(X)),suc(suc(X)))
    | ~ 'E'(s('0'),f(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['38','21']) ).

cnf('40',plain,
    ( iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['39','36']) ).

cnf('41',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['37','40']) ).

cnf('42',plain,
    ( ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | ~ 'E'(s('0'),f(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['41','28']) ).

cnf('43',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['42','40']) ).

cnf('44',plain,
    ( 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['43','36']) ).

cnf('45',plain,
    ( 'E'('0',f(suc(X3)))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['44','35']) ).

cnf('46',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['34','45']) ).

cnf('47',plain,
    ( 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['44','35']) ).

cnf('48',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(cnf_transformation,[],[clause_26]) ).

cnf('49',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['47','48']) ).

cnf('50',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_34]) ).

cnf('51',plain,
    ( 'E'(s('0'),f(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['10','50']) ).

cnf('52',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['6','51']) ).

cnf('53',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['14','51']) ).

cnf('54',plain,
    ( ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['21','53']) ).

cnf('55',plain,
    ( 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['54','51']) ).

cnf('56',plain,
    ( iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['55','50']) ).

cnf('57',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['52','56']) ).

cnf('58',plain,
    ( ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['28','57']) ).

cnf('59',plain,
    ( ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['58','51']) ).

cnf('60',plain,
    ( 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['59','56']) ).

cnf('61',plain,
    ( 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['60','50']) ).

cnf('62',plain,
    ( 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['49','61']) ).

cnf('63',plain,
    ( iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['46','62']) ).

cnf('64',plain,
    ( iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['63','61']) ).

cnf('65',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ iLEQ(suc(Y),suc(X))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y)) ),
    inference(cnf_transformation,[],[clause_10]) ).

cnf('66',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | 'E'(f(Y3),f(suc(Y3)))
    | ~ 'E'('0',f(suc(Y3)))
    | ~ iLEQ(suc(Y3),suc(X3))
    | ~ 'E'('0',f(X3))
    | ~ 'E'('0',f(Y3)) ),
    inference(resolution,[],['47','65']) ).

cnf('67',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ 'E'('0',f(suc(X)))
    | ~ iLEQ(suc(X),suc(Y))
    | ~ 'E'('0',f(X))
    | 'LE'(f(Y),'0') ),
    inference(simplify,[],['66','61']) ).

cnf('68',plain,
    ( 'E'(f(X3),f(suc(X3)))
    | 'E'(f(Y3),f(suc(Y3)))
    | ~ iLEQ(suc(X3),suc(Y3))
    | ~ 'E'('0',f(X3))
    | 'LE'(f(Y3),'0')
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['67','47']) ).

cnf('69',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ iLEQ(suc(Y),suc(X))
    | 'LE'(f(X),'0')
    | 'LE'(f(Y),'0') ),
    inference(simplify,[],['68','61']) ).

cnf('70',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['64','69']) ).

cnf('71',plain,
    ( 'LE'(f(X3),'0')
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['70','46']) ).

cnf('72',plain,
    ( iLEQ(suc(Y3),suc(Y3))
    | 'LE'(f(Y3),'0') ),
    inference(simplify,[],['71','61']) ).

cnf('73',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'('0',f(suc(suc(Y))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ iLEQ(suc(Y),suc(X))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y)) ),
    inference(cnf_transformation,[],[clause_43]) ).

cnf('74',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(factorization,[],['73']) ).

cnf('75',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['32','74']) ).

cnf('76',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['75','45']) ).

cnf('77',plain,
    ( 'LE'(f(X3),'0')
    | ~ iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['70','76']) ).

cnf('78',plain,
    ( 'LE'(f(Y3),'0')
    | ~ iLEQ(suc(Y3),suc(Y3)) ),
    inference(simplify,[],['77','61']) ).

cnf('79',plain,
    'LE'(f(X),'0'),
    inference(simplify,[],['72','78']) ).

cnf('80',plain,
    ~ 'LE'(f(z),'0'),
    inference(cnf_transformation,[],[clause_24]) ).

cnf('81',plain,
    $false,
    inference(resolution,[],['79','80']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.14  % Command  : gkc %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 07:45:30 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.40  
% 0.14/0.40  input clause set summed statistics:
% 0.14/0.40  ----------------------------------
% 0.14/0.40  in_clause_count:                    20
% 0.14/0.40  in_rule_clause_count:               20
% 0.14/0.40  in_fact_clause_count:                0
% 0.14/0.40  in_answer_clause_count:              0
% 0.14/0.40  in_ground_clause_count:              1
% 0.14/0.40  in_unit_clause_count:                2
% 0.14/0.40  in_horn_clause_count:               10
% 0.14/0.40  in_pos_clause_count:                 1
% 0.14/0.40  in_neg_clause_count:                 3
% 0.14/0.40  in_poseq_clause_count:               0
% 0.14/0.40  in_negeq_clause_count:               0
% 0.14/0.40  in_unitposeq_clause_count:           0
% 0.14/0.40  in_chain_clause_count:               0
% 0.14/0.40  in_min_length:             1
% 0.14/0.40  in_max_length:             9
% 0.14/0.40  in_min_depth:              2
% 0.14/0.40  in_max_depth:              4
% 0.14/0.40  in_min_size:               4
% 0.14/0.40  in_max_size:              53
% 0.14/0.40  in_min_vars:               0
% 0.14/0.40  in_max_vars:               2
% 0.14/0.40  in_extaxiom_count:                 0
% 0.14/0.40  in_axiom_count:                   20
% 0.14/0.40  in_assumption_count:               0
% 0.14/0.40  in_goal_count:                     0
% 0.14/0.40  in_neg_goal_count:                 0
% 0.14/0.40  in_pos_goal_count:                 0
% 0.14/0.40  in_posunit_goal_count:             0
% 0.14/0.40  
% 0.14/0.40  auto guide:
% 0.14/0.40  -----------
% 0.14/0.40  {
% 0.14/0.40  "print":1,
% 0.14/0.40  "print_level": 15,
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% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
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% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.40  
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
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% 0.14/0.40  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
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% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.14/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.14/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
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% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.14/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.40  
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
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% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
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% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.14/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.14/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.14/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.40  
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.14/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.14/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.14/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.14/0.40  
% 0.14/0.40  ]}
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  **** run 1 fork 0 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 2 fork 1 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 3 fork 2 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 4 fork 3 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 5 fork 4 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.14/0.40  
% 0.14/0.40  **** run 6 fork 5 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 8 fork 7 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.42  
% 0.21/0.42  **** run 7 fork 6 starts with strategy
% 0.21/0.42  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.44  
% 0.21/0.44  fork 7: search finished without proof.
% 0.21/0.44  
% 0.21/0.44  fork 5: search finished without proof.
% 0.21/0.44  
% 0.21/0.44  fork 1: search finished without proof.
% 0.21/0.45  
% 0.21/0.45  **** run 16 fork 7 starts with strategy
% 0.21/0.45  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.21/0.47  
% 0.21/0.47  **** run 10 fork 1 starts with strategy
% 0.21/0.47  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.47  
% 0.21/0.47  **** run 14 fork 5 starts with strategy
% 0.21/0.47  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.49  
% 0.21/0.49  fork 5: search finished without proof.
% 0.21/0.52  
% 0.21/0.52  **** run 22 fork 5 starts with strategy
% 0.21/0.52  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.21/0.52  
% 0.21/0.52  fork 2: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  fork 4: search terminated without proof.
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  fork 3: search terminated without proof.
% 0.21/0.54  
% 0.21/0.54  **** run 11 fork 2 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.21/0.55  
% 0.21/0.55  fork 6: search finished without proof.
% 0.21/0.55  
% 0.21/0.55  fork 5: search finished without proof.
% 0.21/0.56  
% 0.21/0.56  **** run 13 fork 4 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.56  
% 0.21/0.56  **** run 12 fork 3 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 15 fork 6 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.21/0.57  
% 0.21/0.57  **** run 30 fork 5 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.21/0.58  
% 0.21/0.58  fork 4: search finished without proof.
% 0.21/0.60  
% 0.21/0.60  fork 3: search finished without proof.
% 0.21/0.60  
% 0.21/0.60  **** run 21 fork 4 starts with strategy
% 0.21/0.60  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.21/0.62  
% 0.21/0.62  **** run 20 fork 3 starts with strategy
% 0.21/0.62  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.21/0.64  
% 0.21/0.64  
% 0.21/0.64  result: proof found
% 0.21/0.64  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.64  by run 21 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.21/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.64  
% 0.21/0.64  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.21/0.64  
% 0.21/0.64  run 21 fork 4 statistics:
% 0.21/0.64  ----------------------------------
% 0.21/0.64  this run seconds: 0.022209
% 0.21/0.64  total seconds: 0.228053
% 0.21/0.64  stat_given_used: 154
% 0.21/0.64  stat_given_used_at_endgame: 0
% 0.21/0.64  stat_given_candidates:   635
% 0.21/0.64  stat_given_candidates_at_endgame: 0
% 0.21/0.64  stat_given_candidates_h: 0
% 0.21/0.64  stat_binres_derived_cl:   942
% 0.21/0.64  stat_binres_derived_cl_h: 0
% 0.21/0.64  stat_factor_derived_cl: 67
% 0.21/0.64  stat_para_derived_cl: 0
% 0.21/0.64  stat_tautologies_discarded: 120
% 0.21/0.64  stat_forward_subsumed: 0
% 0.21/0.64  stat_derived_cut: 126
% 0.21/0.64  stat_derived_rewritten: 0
% 0.21/0.64  stat_weight_discarded_building: 0
% 0.21/0.64  stat_weight_discarded_cl: 0
% 0.21/0.64  stat_internlimit_discarded_cl: 0
% 0.21/0.64  stat_simplified:  125 simplified 0 derived 0 given
% 0.21/0.64  stat_kept_cl: 888
% 0.21/0.64  stat_built_cl: 1321
% 0.21/0.64  stat_hyperres_partial_cl: 0
% 0.21/0.64  stat_made_rewriters: 0
% 0.21/0.64  stat_backward_subsumed: 0
% 0.21/0.64  stat_propagated_subsumed: 0
% 0.21/0.64  stat_clsubs_attempted:                      6343
% 0.21/0.64  stat_clsubs_fact_groundunit_found:             0
% 0.21/0.64  stat_clsubs_rule_groundunit_found:             1
% 0.21/0.64  stat_clsubs_top_meta_attempted:              39840
% 0.21/0.64  stat_clsubs_top_meta_failed:                 33497
% 0.21/0.64  stat_clsubs_top_meta_nonpref_attempted:               39840
% 0.21/0.64  stat_clsubs_top_meta_nonpref_succeeded:               14153
% 0.21/0.64  stat_clsubs_top_meta_pref_attempted:                  14153
% 0.21/0.64  stat_clsubs_top_meta_pref1_succeeded:                 10242
% 0.21/0.64  stat_clsubs_top_meta_pref2_succeeded:                  6752
% 0.21/0.64  stat_clsubs_top_meta_pref3_succeeded:                  6343
% 0.21/0.64  stat_clsubs_top_meta_pref_succeeded:                   6343
% 0.21/0.64  stat_clsubs_meta_attempted:                28680
% 0.21/0.64  stat_clsubs_meta_failed:                   11165
% 0.21/0.64  stat_clsubs_predsymbs_attempted:               0
% 0.21/0.64  stat_clsubs_unit_attempted:                  567
% 0.21/0.64  stat_clsubs_full_attempted:                 5776
% 0.21/0.64  stat_forwardsubs_attempted:                  888
% 0.21/0.64  stat_lit_hash_added:                     39
% 0.21/0.64  stat_lit_hash_computed:               15628
% 0.21/0.64  stat_lit_hash_match_found:                4
% 0.21/0.64  stat_lit_hash_match_miss:             23179
% 0.21/0.64  stat_lit_hash_cut_ok:                   126
% 0.21/0.64  stat_lit_strong_cut_ok:                   0
% 0.21/0.64  stat_lit_hash_subsume_ok:                 0
% 0.21/0.64  clqueue els 10000000 used 1
% 0.21/0.64  clactive els 10000000 used 155
% 0.21/0.64  clactivesubsume els 10000000 used 913
% 0.21/0.64  queue_termbuf els 200000000 used 159860
% 0.21/0.64  hyper_termbuf els 100000000 used 1
% 0.21/0.64  active_termbuf els 100000000 used 16756
% 0.21/0.64  varstack els 5000 last used 1
% 0.21/0.64  given_termbuf els 10000000 last used 20
% 0.21/0.64  simplified_termbuf els 10000000 last used 1
% 0.21/0.64  derived_termbuf els 10000000 last used 5
% 0.21/0.64  wr_mallocs: 948
% 0.21/0.64  wr_callocs: 21
% 0.21/0.64  wr_reallocs: 51
% 0.21/0.64  wr_frees: 2
% 0.21/0.64  wr_malloc_bytes: 4162617556
% 0.21/0.64  wr_calloc_bytes: 112065536
% 0.21/0.64  wr_realloc_bytes: 37136
% 0.21/0.64  wr_realloc_freebytes: 0
% 0.21/0.64  ----------------------------------
%------------------------------------------------------------------------------