TSTP Solution File: SYN873-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYN873-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n012.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 03:03:58 EDT 2023

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause25)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',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,[],[clause25]) ).

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

cnf('3',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause2]) ).

cnf('4',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) ),
    inference(simplify,[then_simplify],['1','2','3']) ).

cnf('5',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause3]) ).

cnf('6',plain,
    ssNder1_2r1r1(X,Y),
    inference(simplify,[then_simplify],['5','2','3']) ).

cnf('7',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,[],[clause21]) ).

cnf('8',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) ),
    inference(simplify,[then_simplify],['7','2','3']) ).

cnf('9',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,[],[clause20]) ).

cnf('10',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) ),
    inference(simplify,[then_simplify],['9','2','3']) ).

cnf('11',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,[],[clause19]) ).

cnf('12',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) ),
    inference(simplify,[then_simplify],['11','2','3']) ).

cnf('13',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,[],[clause18]) ).

cnf('14',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) ),
    inference(simplify,[then_simplify],['13','2','3']) ).

cnf('15',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('16',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) ),
    inference(simplify,[then_simplify],['15','2','3']) ).

cnf('17',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('18',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) ),
    inference(simplify,[then_simplify],['17','2','3']) ).

cnf('19',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('20',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) ),
    inference(simplify,[then_simplify],['19','2','3']) ).

cnf('21',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('22',plain,
    ( ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['21','2','3']) ).

cnf('23',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('24',plain,
    ( ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['23','2','3']) ).

cnf('25',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause4]) ).

cnf('26',plain,
    ( ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['25','2','3']) ).

cnf('27',plain,
    ssNder1_3r1r1r1(X3,Y3,Z3),
    inference(resolution,[],['26','6']) ).

cnf('28',plain,
    ssNder1_4r1r1r1r1(X3,Y3,Z3,U3),
    inference(resolution,[then_simplify],['24','6','27']) ).

cnf('29',plain,
    ssNder1_5r1r1r1r1r1(X3,Y3,Z3,U3,V3),
    inference(resolution,[then_simplify],['22','6','28','27']) ).

cnf('30',plain,
    ssNder1_6r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3),
    inference(resolution,[then_simplify],['20','6','29','28','27']) ).

cnf('31',plain,
    ssNder1_7r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006),
    inference(resolution,[then_simplify],['18','6','30','29','28','27']) ).

cnf('32',plain,
    ssNder1_8r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007),
    inference(resolution,[then_simplify],['16','6','31','30','29','28','27']) ).

cnf('33',plain,
    ssNder1_9r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008),
    inference(resolution,[then_simplify],['14','6','32','31','30','29','28','27']) ).

cnf('34',plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009),
    inference(resolution,[then_simplify],['12','6','33','32','31','30','29','28','27']) ).

cnf('35',plain,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010),
    inference(resolution,[then_simplify],['10','6','34','33','32','31','30','29','28','27']) ).

cnf('36',plain,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011),
    inference(resolution,[then_simplify],['8','6','35','34','33','32','31','30','29','28','27']) ).

cnf('37',plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,skc20),
    inference(resolution,[then_simplify],['4','6','36','35','34','33','32','31','30','29','28','27']) ).

cnf('38',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ssPv10_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)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause56]) ).

cnf('39',plain,
    ( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ssPv10_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)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['38','2','3']) ).

cnf('40',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,[],[clause24]) ).

cnf('41',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) ),
    inference(simplify,[then_simplify],['40','2','3']) ).

cnf('42',plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012),
    inference(resolution,[then_simplify],['41','6','36','35','34','33','32','31','30','29','28','27']) ).

cnf('43',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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,[],[clause45]) ).

cnf('44',plain,
    ( ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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) ),
    inference(simplify,[then_simplify],['43','2','3']) ).

cnf('45',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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,[],[clause41]) ).

cnf('46',plain,
    ( ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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) ),
    inference(simplify,[then_simplify],['45','2','3']) ).

cnf('47',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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,[],[clause36]) ).

cnf('48',plain,
    ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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) ),
    inference(simplify,[then_simplify],['47','2','3']) ).

cnf('49',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_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)
    | ~ 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('50',plain,
    ( ssNder1_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)
    | ~ 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) ),
    inference(simplify,[then_simplify],['49','2','3']) ).

cnf('51',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,[],[clause27]) ).

cnf('52',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) ),
    inference(simplify,[then_simplify],['51','2','3']) ).

cnf('53',plain,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013),
    inference(resolution,[then_simplify],['52','6','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('54',plain,
    ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014),
    inference(resolution,[then_simplify],['50','6','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('55',plain,
    ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014,X3015),
    inference(resolution,[then_simplify],['48','6','54','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('56',plain,
    ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014,X3015,X3016),
    inference(resolution,[then_simplify],['46','6','55','54','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('57',plain,
    ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014,X3015,X3016,X3017),
    inference(resolution,[then_simplify],['44','6','56','55','54','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('58',plain,
    ( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,skc20,X2013,X2014,X2015,X2016,X2017)
    | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[then_simplify],['37','39','42','36','35','34','33','32','31','30','29','28','27','57','56','55','54','53']) ).

cnf('59',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,[],[clause30]) ).

cnf('60',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) ),
    inference(simplify,[then_simplify],['59','2','3']) ).

cnf('61',plain,
    ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc19),
    inference(resolution,[then_simplify],['60','6','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('62',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)
    | ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ 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)
    | ~ 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,[],[clause39]) ).

cnf('63',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)
    | ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ 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)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssPv19_2r1r1(X,Y)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['62','2','3']) ).

cnf('64',plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssPv19_2r1r1(X,Y)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[then_simplify],['61','63','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('65',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv15_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,skc29)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause10]) ).

cnf('66',plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc29)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['65','2','3']) ).

cnf('67',plain,
    ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc29),
    inference(resolution,[then_simplify],['66','6','28','27']) ).

cnf('68',plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,skc29,W3,X3006,X3007,X3008,X3009)
    | ~ ssPv19_2r1r1(X3,Y3)
    | ~ ssNder1_2r1r1(X3,Y3) ),
    inference(resolution,[],['64','67']) ).

cnf('69',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)
    | ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ 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)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ssPv19_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause37]) ).

cnf('70',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)
    | ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ~ 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)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ssPv19_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['69','2','3']) ).

cnf('71',plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_2r1r1(X,Y)
    | ssPv19_2r1r1(X,Y) ),
    inference(resolution,[then_simplify],['61','70','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('72',plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc29,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_2r1r1(X,Y)
    | ssPv19_2r1r1(X,Y) ),
    inference(resolution,[],['71','67']) ).

cnf('73',plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,skc29,W3,X3006,X3007,X3008,X3009)
    | ssPv19_2r1r1(X3,Y3) ),
    inference(resolution,[],['72','6']) ).

cnf('74',plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc29,W,X2006,X2007,X2008,X2009)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[],['68','73']) ).

cnf('75',plain,
    ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc29,W,X2006,X2007,X2008,X2009),
    inference(resolution,[],['74','6']) ).

cnf('76',plain,
    ( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc29,W,X2006,X2007,X2008,X2009,X2010,X2011,skc20,X2012,X2013,X2014,X2015,X2016)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[],['58','75']) ).

cnf('77',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,skc30)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause6]) ).

cnf('78',plain,
    ( ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['77','2','3']) ).

cnf('79',plain,
    ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30),
    inference(resolution,[then_simplify],['78','6','27']) ).

cnf('80',plain,
    ( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V,W,X2006,X2007,X2008,X2009,X2010,skc20,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[],['76','79']) ).

cnf('81',plain,
    ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V,W,X2006,X2007,X2008,X2009,X2010,skc20,X2011,X2012,X2013,X2014,X2015),
    inference(resolution,[],['80','6']) ).

cnf('82',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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)
    | ~ ssPv14_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,[],[clause57]) ).

cnf('83',plain,
    ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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)
    | ~ ssPv14_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) ),
    inference(simplify,[then_simplify],['82','2','3']) ).

cnf('84',plain,
    ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V,W,X2006,X2007,X2008,X2009,X2010,skc20,X2011,X2012,X2013)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V,W)
    | ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[then_simplify],['81','83','28','27','57','56','55','54','53','42','36','35','34','33','32','31','30','29']) ).

cnf('85',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('86',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) ),
    inference(simplify,[then_simplify],['85','2','3']) ).

cnf('87',plain,
    ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc25),
    inference(resolution,[then_simplify],['86','6','30','29','28','27']) ).

cnf('88',plain,
    ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V,skc25,W,X2006,X2007,X2008,X2009,skc20,X2010,X2011,X2012)
    | ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[],['84','87']) ).

cnf('89',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,skc26)
    | ~ 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,[],[clause12]) ).

cnf('90',plain,
    ( ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['89','2','3']) ).

cnf('91',plain,
    ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26),
    inference(resolution,[then_simplify],['90','6','29','28','27']) ).

cnf('92',plain,
    ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,skc26,skc25,V,W,X2006,X2007,X2008,skc20,X2009,X2010,X2011)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[],['88','91']) ).

cnf('93',plain,
    ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,skc26,skc25,V,W,X2006,X2007,X2008,skc20,X2009,X2010,X2011),
    inference(resolution,[],['92','6']) ).

cnf('94',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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)
    | ~ ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0)
    | ssPv20_1r1(X0) ),
    inference(cnf_transformation,[],[clause44]) ).

cnf('95',plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ssPv20_1r1(X) ),
    inference(simplify,[then_simplify],['94','2','3']) ).

cnf('96',plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['95','6','55','54','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('97',plain,
    ssPv16_5r1r1r1r1r1(X3,Y3,Z3,U3,skc30),
    inference(resolution,[then_simplify],['78','6','27']) ).

cnf('98',plain,
    ~ ssPv13_8r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,skc25),
    inference(resolution,[then_simplify],['86','6','30','29','28','27']) ).

cnf('99',plain,
    ssPv20_1r1(X),
    inference(resolution,[then_simplify],['93','96','97','98']) ).

cnf('100',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,[],[clause23]) ).

cnf('101',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) ),
    inference(simplify,[then_simplify],['100','2','3']) ).

cnf('102',plain,
    ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,skc23),
    inference(resolution,[then_simplify],['101','6','35','34','33','32','31','30','29','28','27']) ).

cnf('103',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)
    | ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ 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)
    | ~ ssPv14_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)
    | ~ ssPv20_1r1(X0)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause31]) ).

cnf('104',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)
    | ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ 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)
    | ~ ssPv14_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)
    | ~ ssPv20_1r1(X) ),
    inference(simplify,[then_simplify],['103','2','3']) ).

cnf('105',plain,
    ( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
    | ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssPv20_1r1(X) ),
    inference(resolution,[then_simplify],['102','104','36','35','34','33','32','31','30','29','28','27']) ).

cnf('106',plain,
    ( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X2006,X2007,X2008)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssPv20_1r1(X) ),
    inference(resolution,[],['105','91']) ).

cnf('107',plain,
    ( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X2006,X2007,X2008)
    | ~ ssPv20_1r1(X) ),
    inference(resolution,[],['106','6']) ).

cnf('108',plain,
    ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X2006,X2007,X2008),
    inference(resolution,[],['99','107']) ).

cnf('109',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19)
    | ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | 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)
    | ~ 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)
    | ssPv11_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)
    | ~ ssPv14_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,[],[clause63]) ).

cnf('110',plain,
    ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018,X2019)
    | ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
    | 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)
    | ~ 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)
    | ssPv11_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)
    | ~ ssPv14_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) ),
    inference(simplify,[then_simplify],['109','2','3']) ).

cnf('111',plain,
    ssPv14_7r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,skc26),
    inference(resolution,[then_simplify],['90','6','29','28','27']) ).

cnf('112',plain,
    ( ~ $pr(ssNder1_0)
    | ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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,[],[clause49]) ).

cnf('113',plain,
    ( ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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) ),
    inference(simplify,[then_simplify],['112','2','3']) ).

cnf('114',plain,
    ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014,X3015,X3016,X3017,X3018),
    inference(resolution,[then_simplify],['113','6','57','56','55','54','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('115',plain,
    ( ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[then_simplify],['108','110','111','30','29','28','27','114','57','56','55','54','53','42','36','35','34','33','32','31']) ).

cnf('116',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc16)
    | ~ 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,[],[clause33]) ).

cnf('117',plain,
    ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc16)
    | ~ 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) ),
    inference(simplify,[then_simplify],['116','2','3']) ).

cnf('118',plain,
    ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc16),
    inference(resolution,[then_simplify],['117','6','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('119',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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,[],[clause47]) ).

cnf('120',plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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) ),
    inference(simplify,[then_simplify],['119','2','3']) ).

cnf('121',plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc16,X2015)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[then_simplify],['118','120','54','53','42','36','35','34','33','32','31','30','29','28','27','55']) ).

cnf('122',plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc16,X2015)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference(resolution,[],['121','6']) ).

cnf('123',plain,
    ssPv17_4r1r1r1r1(X,Y,Z,U),
    inference(resolution,[then_simplify],['93','122','97']) ).

cnf('124',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc17)
    | ~ 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,[],[clause34]) ).

cnf('125',plain,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc17)
    | ~ 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) ),
    inference(simplify,[then_simplify],['124','2','3']) ).

cnf('126',plain,
    ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc17),
    inference(resolution,[then_simplify],['125','6','53','42','36','35','34','33','32','31','30','29','28','27']) ).

cnf('127',plain,
    ( ~ $pr(ssNder1_0)
    | ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19)
    | ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_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)
    | ~ 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)
    | ~ ssPv17_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X0,X1,X2)
    | ~ ssNder1_2r1r1(X0,X1)
    | ~ ssNder1_1r1(X0) ),
    inference(cnf_transformation,[],[clause61]) ).

cnf('128',plain,
    ( ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018,X2019)
    | ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017,X2018)
    | ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016,X2017)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015,X2016)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,X2015)
    | ~ ssNder1_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)
    | ~ 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)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(simplify,[then_simplify],['127','2','3']) ).

cnf('129',plain,
    ( ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc17,X2015,X2016,X2017,X2018)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[then_simplify],['126','128','54','53','42','36','35','34','33','32','31','30','29','28','27','114','57','56','55']) ).

cnf('130',plain,
    ( ~ $pr(ssNder1_0)
    | ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,skc24)
    | ~ 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,[],[clause15]) ).

cnf('131',plain,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc24)
    | ~ 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) ),
    inference(simplify,[then_simplify],['130','2','3']) ).

cnf('132',plain,
    ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc24),
    inference(resolution,[then_simplify],['131','6','30','29','28','27']) ).

cnf('133',plain,
    ( ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc24,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc17,X2014,X2015,X2016,X2017)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[],['129','132']) ).

cnf('134',plain,
    ( ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc24,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc17,X2014,X2015,X2016,X2017)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference(resolution,[],['133','6']) ).

cnf('135',plain,
    ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc24,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc17,X2014,X2015,X2016,X2017),
    inference(resolution,[],['123','134']) ).

cnf('136',plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,skc24,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
    | ~ ssNder1_2r1r1(X,Y) ),
    inference(resolution,[],['115','135']) ).

cnf('137',plain,
    ~ ssNder1_2r1r1(X,Y),
    inference(resolution,[],['136','61']) ).

cnf('138',plain,
    $false,
    inference(resolution,[],['137','6']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN873-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12  % Command  : gkc %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 18:09:40 EDT 2023
% 0.12/0.34  % 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:                    66
% 0.19/0.40  in_rule_clause_count:               66
% 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:               47
% 0.19/0.40  in_pos_clause_count:                 1
% 0.19/0.40  in_neg_clause_count:                 9
% 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:                    66
% 0.19/0.40  in_neg_goal_count:                 9
% 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, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "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  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 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, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "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  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 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, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "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  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 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,"sine":5,"strategy":["negative_pref"],"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":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 4 fork 3 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 5 fork 4 starts with strategy
% 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  **** run 6 fork 5 starts with strategy
% 0.19/0.40  
% 0.19/0.40  **** run 7 fork 6 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 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,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  result: proof found
% 0.19/0.46  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.46  by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.46  
% 0.19/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.47  
% 0.19/0.47  run 6 fork 5 statistics:
% 0.19/0.47  ----------------------------------
% 0.19/0.47  this run seconds: 0.040214
% 0.19/0.47  total seconds: 0.067722
% 0.19/0.47  stat_given_used: 215
% 0.19/0.47  stat_given_used_at_endgame: 0
% 0.19/0.47  stat_given_candidates:   311
% 0.19/0.47  stat_given_candidates_at_endgame: 0
% 0.19/0.47  stat_given_candidates_h: 0
% 0.19/0.47  stat_binres_derived_cl:   981
% 0.19/0.47  stat_binres_derived_cl_h: 0
% 0.19/0.47  stat_factor_derived_cl: 0
% 0.19/0.47  stat_para_derived_cl: 0
% 0.19/0.47  stat_tautologies_discarded: 0
% 0.19/0.47  stat_forward_subsumed: 276
% 0.19/0.47  stat_derived_cut: 641
% 0.19/0.47  stat_derived_rewritten: 0
% 0.19/0.47  stat_weight_discarded_building: 0
% 0.19/0.47  stat_weight_discarded_cl: 0
% 0.19/0.47  stat_internlimit_discarded_cl: 0
% 0.19/0.47  stat_simplified:  68 simplified 0 derived 0 given
% 0.19/0.47  stat_kept_cl: 704
% 0.19/0.47  stat_built_cl: 1202
% 0.19/0.47  stat_hyperres_partial_cl: 0
% 0.19/0.47  stat_made_rewriters: 0
% 0.19/0.47  stat_backward_subsumed: 0
% 0.19/0.47  stat_propagated_subsumed: 0
% 0.19/0.47  stat_clsubs_attempted:                      1772
% 0.19/0.47  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.47  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.47  stat_clsubs_top_meta_attempted:              34695
% 0.19/0.47  stat_clsubs_top_meta_failed:                 32923
% 0.19/0.47  stat_clsubs_top_meta_nonpref_attempted:               34695
% 0.19/0.47  stat_clsubs_top_meta_nonpref_succeeded:               14175
% 0.19/0.47  stat_clsubs_top_meta_pref_attempted:                  14175
% 0.19/0.47  stat_clsubs_top_meta_pref1_succeeded:                  1772
% 0.19/0.47  stat_clsubs_top_meta_pref2_succeeded:                  1772
% 0.19/0.47  stat_clsubs_top_meta_pref3_succeeded:                  1772
% 0.19/0.47  stat_clsubs_top_meta_pref_succeeded:                   1772
% 0.19/0.47  stat_clsubs_meta_attempted:                 5347
% 0.19/0.47  stat_clsubs_meta_failed:                    4504
% 0.19/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.47  stat_clsubs_unit_attempted:                  990
% 0.19/0.47  stat_clsubs_full_attempted:                  782
% 0.19/0.47  stat_forwardsubs_attempted:                  980
% 0.19/0.47  stat_lit_hash_added:                    170
% 0.19/0.47  stat_lit_hash_computed:               17402
% 0.19/0.47  stat_lit_hash_match_found:             7642
% 0.19/0.47  stat_lit_hash_match_miss:             21796
% 0.19/0.47  stat_lit_hash_cut_ok:                  7427
% 0.19/0.47  stat_lit_strong_cut_ok:                 473
% 0.19/0.47  stat_lit_hash_subsume_ok:               276
% 0.19/0.47  clqueue els 10000000 used 1
% 0.19/0.47  clactive els 10000000 used 216
% 0.19/0.47  clactivesubsume els 10000000 used 1285
% 0.19/0.47  queue_termbuf els 200000000 used 82200
% 0.19/0.47  hyper_termbuf els 100000000 used 1
% 0.19/0.47  active_termbuf els 100000000 used 20523
% 0.19/0.47  varstack els 5000 last used 1
% 0.19/0.47  given_termbuf els 10000000 last used 14
% 0.19/0.47  simplified_termbuf els 10000000 last used 1
% 0.19/0.47  derived_termbuf els 10000000 last used 3
% 0.19/0.47  wr_mallocs: 1736
% 0.19/0.47  wr_callocs: 21
% 0.19/0.47  wr_reallocs: 91
% 0.19/0.47  wr_frees: 2
% 0.19/0.47  wr_malloc_bytes: 4162640148
% 0.19/0.47  wr_calloc_bytes: 112065536
% 0.19/0.47  wr_realloc_bytes: 267824
% 0.19/0.47  wr_realloc_freebytes: 0
% 0.19/0.47  ----------------------------------
%------------------------------------------------------------------------------