TSTP Solution File: SYN891-1 by GKC---0.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.7
% Problem  : SYN891-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n018.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 21 06:45:44 EDT 2022

% Result   : Unsatisfiable 0.70s 0.57s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause3)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause3]) ).

cnf('2',plain,
    $pr(ssNder1_0),
    inference(cnf_transformation,[],[clause1]) ).

cnf('3',plain,
    ( ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['1','2']) ).

cnf('4',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause2]) ).

cnf('5',plain,
    ssNder1_1r1(X),
    inference(simplify,[],['4','2']) ).

cnf('6',plain,
    ssNder1_2r1r1(X,Y),
    inference(resolution,[],['3','5']) ).

cnf('7',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause4]) ).

cnf('8',plain,
    ( ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['7','2']) ).

cnf('9',plain,
    ( ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[],['6','8']) ).

cnf('10',plain,
    ssNder1_3r1r1r1(X,Y,Z),
    inference(resolution,[],['9','5']) ).

cnf('11',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause5]) ).

cnf('12',plain,
    ( ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['11','2']) ).

cnf('13',plain,
    ssNder1_2r1r1(X3,Y3),
    inference(resolution,[],['3','5']) ).

cnf('14',plain,
    ( ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['10','12','13']) ).

cnf('15',plain,
    ssNder1_4r1r1r1r1(X,Y,Z,U),
    inference(resolution,[],['14','5']) ).

cnf('16',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause8]) ).

cnf('17',plain,
    ( ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['16','2']) ).

cnf('18',plain,
    ssNder1_3r1r1r1(X3,Y3,Z3),
    inference(resolution,[],['9','5']) ).

cnf('19',plain,
    ( ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['15','17','18','13']) ).

cnf('20',plain,
    ssNder1_5r1r1r1r1r1(X,Y,Z,U,V),
    inference(resolution,[],['19','5']) ).

cnf('21',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause11]) ).

cnf('22',plain,
    ( ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['21','2']) ).

cnf('23',plain,
    ssNder1_4r1r1r1r1(X3,Y3,Z3,U3),
    inference(resolution,[],['14','5']) ).

cnf('24',plain,
    ( ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['20','22','23','18','13']) ).

cnf('25',plain,
    ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W),
    inference(resolution,[],['24','5']) ).

cnf('26',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause14]) ).

cnf('27',plain,
    ( ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['26','2']) ).

cnf('28',plain,
    ssNder1_5r1r1r1r1r1(X3,Y3,Z3,U3,V3),
    inference(resolution,[],['19','5']) ).

cnf('29',plain,
    ( ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['25','27','28','23','18','13']) ).

cnf('30',plain,
    ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006),
    inference(resolution,[],['29','5']) ).

cnf('31',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause17]) ).

cnf('32',plain,
    ( ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['31','2']) ).

cnf('33',plain,
    ssNder1_6r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3),
    inference(resolution,[],['24','5']) ).

cnf('34',plain,
    ( ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['30','32','33','28','23','18','13']) ).

cnf('35',plain,
    ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007),
    inference(resolution,[],['34','5']) ).

cnf('36',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause19]) ).

cnf('37',plain,
    ( ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['36','2']) ).

cnf('38',plain,
    ssNder1_7r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006),
    inference(resolution,[],['29','5']) ).

cnf('39',plain,
    ( ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['35','37','38','33','28','23','18','13']) ).

cnf('40',plain,
    ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008),
    inference(resolution,[],['39','5']) ).

cnf('41',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause20]) ).

cnf('42',plain,
    ( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['41','2']) ).

cnf('43',plain,
    ssNder1_8r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007),
    inference(resolution,[],['34','5']) ).

cnf('44',plain,
    ( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['40','42','43','38','33','28','23','18','13']) ).

cnf('45',plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009),
    inference(resolution,[],['44','5']) ).

cnf('46',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause21]) ).

cnf('47',plain,
    ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['46','2']) ).

cnf('48',plain,
    ssNder1_9r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008),
    inference(resolution,[],['39','5']) ).

cnf('49',plain,
    ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['45','47','48','43','38','33','28','23','18','13']) ).

cnf('50',plain,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010),
    inference(resolution,[],['49','5']) ).

cnf('51',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause22]) ).

cnf('52',plain,
    ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['51','2']) ).

cnf('53',plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009),
    inference(resolution,[],['44','5']) ).

cnf('54',plain,
    ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['50','52','53','48','43','38','33','28','23','18','13']) ).

cnf('55',plain,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011),
    inference(resolution,[],['54','5']) ).

cnf('56',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause27]) ).

cnf('57',plain,
    ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['56','2']) ).

cnf('58',plain,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010),
    inference(resolution,[],['49','5']) ).

cnf('59',plain,
    ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['55','57','58','53','48','43','38','33','28','23','18','13']) ).

cnf('60',plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012),
    inference(resolution,[],['59','5']) ).

cnf('61',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause32]) ).

cnf('62',plain,
    ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['61','2']) ).

cnf('63',plain,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011),
    inference(resolution,[],['54','5']) ).

cnf('64',plain,
    ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['60','62','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('65',plain,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013),
    inference(resolution,[],['64','5']) ).

cnf('66',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ssPv17_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause50]) ).

cnf('67',plain,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['66','2']) ).

cnf('68',plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012),
    inference(resolution,[],['59','5']) ).

cnf('69',plain,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['65','67','68','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('70',plain,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference(resolution,[],['69','5']) ).

cnf('71',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc18)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause33]) ).

cnf('72',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc18)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['71','2']) ).

cnf('73',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc18)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['60','72','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('74',plain,
    ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc18),
    inference(resolution,[],['73','5']) ).

cnf('75',plain,
    ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference(resolution,[],['70','74']) ).

cnf('76',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssPv17_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssPv20_1r1(X0)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause47]) ).

cnf('77',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssPv20_1r1(X)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['76','2']) ).

cnf('78',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013)
    | ~ ssPv17_4r1r1r1r1(X3,Y3,Z3,U3)
    | ~ ssPv20_1r1(X3)
    | ~ ssNder1_1r1(X3) ),
    inference(resolution,[then_simplify],['65','77','68','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('79',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssPv18_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0)
    | ssPv20_1r1(X0) ),
    inference(cnf_transformation,[],[clause42]) ).

cnf('80',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(simplify,[],['79','2']) ).

cnf('81',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['60','80','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('82',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ssPv20_1r1(X) ),
    inference(resolution,[],['81','5']) ).

cnf('83',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ssPv18_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0)
    | ssPv20_1r1(X0) ),
    inference(cnf_transformation,[],[clause31]) ).

cnf('84',plain,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(simplify,[],['83','2']) ).

cnf('85',plain,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['55','84','58','53','48','43','38','33','28','23','18','13']) ).

cnf('86',plain,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ssPv20_1r1(X) ),
    inference(resolution,[],['85','5']) ).

cnf('87',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,skc23)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause24]) ).

cnf('88',plain,
    ( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,skc23)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['87','2']) ).

cnf('89',plain,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['86','88','58','53','48','43','38','33','28','23','18','13']) ).

cnf('90',plain,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ssPv20_1r1(X) ),
    inference(resolution,[],['89','5']) ).

cnf('91',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,skc25)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause16]) ).

cnf('92',plain,
    ( ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc25)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['91','2']) ).

cnf('93',plain,
    ( ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['90','92','33','28','23','18','13']) ).

cnf('94',plain,
    ( ssPv18_3r1r1r1(X,Y,Z)
    | ssPv20_1r1(X) ),
    inference(resolution,[],['93','5']) ).

cnf('95',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv20_1r1(X) ),
    inference(resolution,[],['82','94']) ).

cnf('96',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc21)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause29]) ).

cnf('97',plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,skc21)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['96','2']) ).

cnf('98',plain,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['95','97','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('99',plain,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv20_1r1(X) ),
    inference(resolution,[],['98','5']) ).

cnf('100',plain,
    ( ~ ssNder1_1r1(X)
    | ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['99','88','58','53','48','43','38','33','28','23','18','13']) ).

cnf('101',plain,
    ssPv20_1r1(X3),
    inference(resolution,[],['100','5']) ).

cnf('102',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['78','101']) ).

cnf('103',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference(resolution,[],['102','5']) ).

cnf('104',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ssPv17_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ssPv19_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause43]) ).

cnf('105',plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ssPv19_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['104','2']) ).

cnf('106',plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ssPv19_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['60','105','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('107',plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ssPv19_2r1r1(X,Y) ),
    inference(resolution,[],['106','5']) ).

cnf('108',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc20)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause28]) ).

cnf('109',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,skc20)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['108','2']) ).

cnf('110',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,skc20)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['55','109','58','53','48','43','38','33','28','23','18','13']) ).

cnf('111',plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,skc20),
    inference(resolution,[],['110','5']) ).

cnf('112',plain,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ssPv19_2r1r1(X,Y) ),
    inference(resolution,[],['107','111']) ).

cnf('113',plain,
    ( ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ssPv19_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['112','88','58','53','48','43','38','33','28','23','18','13']) ).

cnf('114',plain,
    ( ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ssPv19_2r1r1(X,Y) ),
    inference(resolution,[],['113','5']) ).

cnf('115',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv19_2r1r1(X,Y) ),
    inference(resolution,[],['103','114']) ).

cnf('116',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc19)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause34]) ).

cnf('117',plain,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc19)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['116','2']) ).

cnf('118',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv19_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['115','117','68','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('119',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ssPv19_2r1r1(X,Y) ),
    inference(resolution,[],['118','5']) ).

cnf('120',plain,
    ( ssPv19_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['119','97','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('121',plain,
    ssPv19_2r1r1(X,Y),
    inference(resolution,[],['120','5']) ).

cnf('122',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssPv15_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssPv19_2r1r1(X0,X1)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause30]) ).

cnf('123',plain,
    ( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssPv19_2r1r1(X,Y)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['122','2']) ).

cnf('124',plain,
    ( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssPv19_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['50','123','53','48','43','38','33','28','23','18','13']) ).

cnf('125',plain,
    ( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[],['121','124']) ).

cnf('126',plain,
    ( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
    | ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
    inference(resolution,[],['125','5']) ).

cnf('127',plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference(resolution,[],['75','126']) ).

cnf('128',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv15_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,skc28)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause9]) ).

cnf('129',plain,
    ( ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['128','2']) ).

cnf('130',plain,
    ( ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['15','129','18','13']) ).

cnf('131',plain,
    ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28),
    inference(resolution,[],['130','5']) ).

cnf('132',plain,
    ( ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference(resolution,[],['127','131']) ).

cnf('133',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,skc31)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause7]) ).

cnf('134',plain,
    ( ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc31)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X) ),
    inference(simplify,[],['133','2']) ).

cnf('135',plain,
    ( ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['132','134','18','13']) ).

cnf('136',plain,
    ssPv17_4r1r1r1r1(X,Y,Z,U),
    inference(resolution,[],['135','5']) ).

cnf('137',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013) ),
    inference(resolution,[],['136','103']) ).

cnf('138',plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_1r1(X) ),
    inference(resolution,[then_simplify],['137','117','68','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('139',plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013),
    inference(resolution,[],['138','5']) ).

cnf('140',plain,
    ~ ssNder1_1r1(X),
    inference(resolution,[then_simplify],['139','97','63','58','53','48','43','38','33','28','23','18','13']) ).

cnf('141',plain,
    $false,
    inference(resolution,[],['140','5']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN891-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n018.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 : Tue Jul 12 06:15:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.40  
% 0.19/0.40  input clause set summed statistics:
% 0.19/0.40  ----------------------------------
% 0.19/0.40  in_clause_count:                    86
% 0.19/0.40  in_rule_clause_count:               86
% 0.19/0.40  in_fact_clause_count:                0
% 0.19/0.40  in_answer_clause_count:              0
% 0.19/0.40  in_ground_clause_count:              1
% 0.19/0.40  in_unit_clause_count:                1
% 0.19/0.40  in_horn_clause_count:               56
% 0.19/0.40  in_pos_clause_count:                 1
% 0.19/0.40  in_neg_clause_count:                11
% 0.19/0.40  in_poseq_clause_count:               0
% 0.19/0.40  in_negeq_clause_count:               0
% 0.19/0.40  in_unitposeq_clause_count:           0
% 0.19/0.40  in_chain_clause_count:               0
% 0.19/0.40  in_min_length:             1
% 0.19/0.40  in_max_length:            24
% 0.19/0.40  in_min_depth:              1
% 0.19/0.40  in_max_depth:              1
% 0.19/0.40  in_min_size:               2
% 0.19/0.40  in_max_size:             274
% 0.19/0.40  in_min_vars:               0
% 0.19/0.40  in_max_vars:              20
% 0.19/0.40  in_extaxiom_count:                 0
% 0.19/0.40  in_axiom_count:                    0
% 0.19/0.40  in_assumption_count:               0
% 0.19/0.40  in_goal_count:                    86
% 0.19/0.40  in_neg_goal_count:                11
% 0.19/0.40  in_pos_goal_count:                 1
% 0.19/0.40  in_posunit_goal_count:             1
% 0.19/0.40  
% 0.19/0.40  auto guide:
% 0.19/0.40  -----------
% 0.19/0.40  {
% 0.19/0.40  "print":1,
% 0.19/0.40  "print_level": 15,
% 0.19/0.40  "max_size": 0,
% 0.19/0.40  "max_depth": 0,
% 0.19/0.40  "max_length": 0,
% 0.19/0.40  "max_dseconds": 0,
% 0.19/0.40  "equality":0,
% 0.19/0.40  "runs":[
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.19/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.19/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.19/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.19/0.40  
% 0.19/0.40  ]}
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  **** run 1 fork 0 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 2 fork 1 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 3 fork 2 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.19/0.40  
% 0.19/0.40  **** run 4 fork 3 starts with strategy
% 0.19/0.40  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.19/0.40  
% 0.19/0.40  **** run 5 fork 4 starts with strategy
% 0.19/0.40  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.19/0.40  
% 0.19/0.40  **** run 6 fork 5 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 7 fork 6 starts with strategy
% 0.19/0.40  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.19/0.48  
% 0.19/0.48  fork 7: search finished without proof.
% 0.19/0.50  
% 0.19/0.50  fork 1: search finished without proof.
% 0.19/0.50  
% 0.19/0.50  **** run 16 fork 7 starts with strategy
% 0.19/0.50  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.19/0.52  No candidate clauses found.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 7: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  **** run 10 fork 1 starts with strategy
% 0.19/0.52  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.53  
% 0.19/0.53  **** run 24 fork 7 starts with strategy
% 0.19/0.53  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 0.70/0.57  
% 0.70/0.57  
% 0.70/0.57  result: proof found
% 0.70/0.57  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.70/0.57  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.70/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.70/0.57  
% 0.70/0.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.70/0.57  
% 0.70/0.57  run 1 fork 0 statistics:
% 0.70/0.57  ----------------------------------
% 0.70/0.57  this run seconds: 0.024823
% 0.70/0.57  total seconds: 0.048806
% 0.70/0.57  stat_given_used: 211
% 0.70/0.57  stat_given_used_at_endgame: 0
% 0.70/0.57  stat_given_candidates:   257
% 0.70/0.57  stat_given_candidates_at_endgame: 0
% 0.70/0.57  stat_given_candidates_h: 0
% 0.70/0.57  stat_binres_derived_cl:   166
% 0.70/0.57  stat_binres_derived_cl_h: 0
% 0.70/0.57  stat_factor_derived_cl: 0
% 0.70/0.57  stat_para_derived_cl: 0
% 0.70/0.57  stat_tautologies_discarded: 0
% 0.70/0.57  stat_forward_subsumed: 10
% 0.70/0.57  stat_derived_cut: 208
% 0.70/0.57  stat_derived_rewritten: 0
% 0.70/0.57  stat_weight_discarded_building: 0
% 0.70/0.57  stat_weight_discarded_cl: 0
% 0.70/0.57  stat_internlimit_discarded_cl: 0
% 0.70/0.57  stat_simplified:  130 simplified 0 derived 0 given
% 0.70/0.57  stat_kept_cl: 155
% 0.70/0.57  stat_built_cl: 707
% 0.70/0.57  stat_hyperres_partial_cl: 0
% 0.70/0.57  stat_made_rewriters: 0
% 0.70/0.57  stat_backward_subsumed: 0
% 0.70/0.57  stat_propagated_subsumed: 0
% 0.70/0.57  stat_clsubs_attempted:                      1505
% 0.70/0.57  stat_clsubs_fact_groundunit_found:             0
% 0.70/0.57  stat_clsubs_rule_groundunit_found:             1
% 0.70/0.57  stat_clsubs_top_meta_attempted:              22978
% 0.70/0.57  stat_clsubs_top_meta_failed:                 21473
% 0.70/0.57  stat_clsubs_top_meta_nonpref_attempted:               22978
% 0.70/0.57  stat_clsubs_top_meta_nonpref_succeeded:                9034
% 0.70/0.57  stat_clsubs_top_meta_pref_attempted:                   9034
% 0.70/0.57  stat_clsubs_top_meta_pref1_succeeded:                  1505
% 0.70/0.57  stat_clsubs_top_meta_pref2_succeeded:                  1505
% 0.70/0.57  stat_clsubs_top_meta_pref3_succeeded:                  1505
% 0.70/0.57  stat_clsubs_top_meta_pref_succeeded:                   1505
% 0.70/0.57  stat_clsubs_meta_attempted:                 6879
% 0.70/0.57  stat_clsubs_meta_failed:                    6118
% 0.70/0.57  stat_clsubs_predsymbs_attempted:               0
% 0.70/0.57  stat_clsubs_unit_attempted:                  454
% 0.70/0.57  stat_clsubs_full_attempted:                 1051
% 0.70/0.57  stat_forwardsubs_attempted:                  165
% 0.70/0.57  stat_lit_hash_added:                     33
% 0.70/0.57  stat_lit_hash_computed:                3590
% 0.70/0.57  stat_lit_hash_match_found:              927
% 0.70/0.57  stat_lit_hash_match_miss:              6139
% 0.70/0.57  stat_lit_hash_cut_ok:                   913
% 0.70/0.57  stat_lit_strong_cut_ok:                  60
% 0.70/0.57  stat_lit_hash_subsume_ok:                10
% 0.70/0.57  clqueue els 10000000 used 1
% 0.70/0.57  clactive els 10000000 used 212
% 0.70/0.57  clactivesubsume els 10000000 used 1261
% 0.70/0.57  queue_termbuf els 200000000 used 37649
% 0.70/0.57  hyper_termbuf els 100000000 used 1
% 0.70/0.57  active_termbuf els 100000000 used 25192
% 0.70/0.57  varstack els 5000 last used 1
% 0.70/0.57  given_termbuf els 10000000 last used 13
% 0.70/0.57  simplified_termbuf els 10000000 last used 1
% 0.70/0.57  derived_termbuf els 10000000 last used 3
% 0.70/0.57  wr_mallocs: 593
% 0.70/0.57  wr_callocs: 19
% 0.70/0.57  wr_reallocs: 15
% 0.70/0.57  wr_frees: 2
% 0.70/0.57  wr_malloc_bytes: 4162607076
% 0.70/0.57  wr_calloc_bytes: 96065504
% 0.70/0.57  wr_realloc_bytes: 132920
% 0.70/0.57  wr_realloc_freebytes: 0
% 0.70/0.57  ----------------------------------
%------------------------------------------------------------------------------