%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYN892-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n011.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 03:04:05 EDT 2023
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause4)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( ~ $pr(ssNder1_0)
| ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause4]) ).
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,
( 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,
ssNder1_3r1r1r1(X,Y,Z),
inference(resolution,[],['4','6']) ).
cnf('8',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('9',plain,
( ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['8','2','3']) ).
cnf('10',plain,
( ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[],['7','9']) ).
cnf('11',plain,
ssNder1_4r1r1r1r1(X,Y,Z,U),
inference(resolution,[],['10','6']) ).
cnf('12',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('13',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],['12','2','3']) ).
cnf('14',plain,
ssNder1_3r1r1r1(X3,Y3,Z3),
inference(resolution,[],['4','6']) ).
cnf('15',plain,
( ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['11','13','14']) ).
cnf('16',plain,
ssNder1_5r1r1r1r1r1(X,Y,Z,U,V),
inference(resolution,[],['15','6']) ).
cnf('17',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('18',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],['17','2','3']) ).
cnf('19',plain,
ssNder1_4r1r1r1r1(X3,Y3,Z3,U3),
inference(resolution,[],['10','6']) ).
cnf('20',plain,
( ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['16','18','19','14']) ).
cnf('21',plain,
ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W),
inference(resolution,[],['20','6']) ).
cnf('22',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('23',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],['22','2','3']) ).
cnf('24',plain,
ssNder1_5r1r1r1r1r1(X3,Y3,Z3,U3,V3),
inference(resolution,[],['15','6']) ).
cnf('25',plain,
( ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['21','23','24','19','14']) ).
cnf('26',plain,
ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006),
inference(resolution,[],['25','6']) ).
cnf('27',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('28',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],['27','2','3']) ).
cnf('29',plain,
ssNder1_6r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3),
inference(resolution,[],['20','6']) ).
cnf('30',plain,
( ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['26','28','29','24','19','14']) ).
cnf('31',plain,
ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007),
inference(resolution,[],['30','6']) ).
cnf('32',plain,
( ~ $pr(ssNder1_0)
| ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause19]) ).
cnf('33',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],['32','2','3']) ).
cnf('34',plain,
ssNder1_7r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006),
inference(resolution,[],['25','6']) ).
cnf('35',plain,
( ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['31','33','34','29','24','19','14']) ).
cnf('36',plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008),
inference(resolution,[],['35','6']) ).
cnf('37',plain,
( ~ $pr(ssNder1_0)
| ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause20]) ).
cnf('38',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],['37','2','3']) ).
cnf('39',plain,
ssNder1_8r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007),
inference(resolution,[],['30','6']) ).
cnf('40',plain,
( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['36','38','39','34','29','24','19','14']) ).
cnf('41',plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009),
inference(resolution,[],['40','6']) ).
cnf('42',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,[],[clause22]) ).
cnf('43',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],['42','2','3']) ).
cnf('44',plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008),
inference(resolution,[],['35','6']) ).
cnf('45',plain,
( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['41','43','44','39','34','29','24','19','14']) ).
cnf('46',plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010),
inference(resolution,[],['45','6']) ).
cnf('47',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,[],[clause24]) ).
cnf('48',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],['47','2','3']) ).
cnf('49',plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009),
inference(resolution,[],['40','6']) ).
cnf('50',plain,
( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['46','48','49','44','39','34','29','24','19','14']) ).
cnf('51',plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011),
inference(resolution,[],['50','6']) ).
cnf('52',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,[],[clause28]) ).
cnf('53',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],['52','2','3']) ).
cnf('54',plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010),
inference(resolution,[],['45','6']) ).
cnf('55',plain,
( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['51','53','54','49','44','39','34','29','24','19','14']) ).
cnf('56',plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012),
inference(resolution,[],['55','6']) ).
cnf('57',plain,
( ~ $pr(ssNder1_0)
| ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause32]) ).
cnf('58',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],['57','2','3']) ).
cnf('59',plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011),
inference(resolution,[],['50','6']) ).
cnf('60',plain,
( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['56','58','59','54','49','44','39','34','29','24','19','14']) ).
cnf('61',plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013),
inference(resolution,[],['60','6']) ).
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)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssPv17_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssPv18_3r1r1r1(X0,X1,X2)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause53]) ).
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)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssPv18_3r1r1r1(X,Y,Z)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['62','2','3']) ).
cnf('64',plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012),
inference(resolution,[],['55','6']) ).
cnf('65',plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013)
| ~ ssPv17_4r1r1r1r1(X3,Y3,Z3,U3)
| ~ ssPv18_3r1r1r1(X3,Y3,Z3)
| ~ ssNder1_2r1r1(X3,Y3) ),
inference(resolution,[then_simplify],['61','63','64','59','54','49','44','39','34','29','24','19','14']) ).
cnf('66',plain,
( ~ $pr(ssNder1_0)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ 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)
| ~ 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)
| ~ ssPv19_2r1r1(X0,X1)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause39]) ).
cnf('67',plain,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ 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)
| ~ 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)
| ~ ssPv19_2r1r1(X,Y)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['66','2','3']) ).
cnf('68',plain,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011)
| ~ ssPv14_7r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006)
| ~ ssPv19_2r1r1(X3,Y3)
| ~ ssNder1_2r1r1(X3,Y3) ),
inference(resolution,[then_simplify],['51','67','54','49','44','39','34','29','24','19','14']) ).
cnf('69',plain,
( ~ $pr(ssNder1_0)
| ssPv12_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)
| ssPv16_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,[],[clause21]) ).
cnf('70',plain,
( ssPv12_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)
| ssPv16_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,
( ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_2r1r1(X,Y)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['31','70','34','29','24','19','14']) ).
cnf('72',plain,
( ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[],['71','6']) ).
cnf('73',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('74',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],['73','2','3']) ).
cnf('75',plain,
( ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['16','74','19','14']) ).
cnf('76',plain,
ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26),
inference(resolution,[],['75','6']) ).
cnf('77',plain,
( ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X2006,X2007)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[],['72','76']) ).
cnf('78',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,[],[clause43]) ).
cnf('79',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],['78','2','3']) ).
cnf('80',plain,
( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc16)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['61','79','64','59','54','49','44','39','34','29','24','19','14']) ).
cnf('81',plain,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014,skc16),
inference(resolution,[],['80','6']) ).
cnf('82',plain,
( ~ $pr(ssNder1_0)
| ~ 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)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ssPv19_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause56]) ).
cnf('83',plain,
( ~ 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)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ssPv19_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['82','2','3']) ).
cnf('84',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,[],[clause42]) ).
cnf('85',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],['84','2','3']) ).
cnf('86',plain,
( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['61','85','64','59','54','49','44','39','34','29','24','19','14']) ).
cnf('87',plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013,X3014),
inference(resolution,[],['86','6']) ).
cnf('88',plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012,X3013),
inference(resolution,[],['60','6']) ).
cnf('89',plain,
( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssNder1_2r1r1(X,Y)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['81','83','87','88','64','59','54','49','44','39','34','29','24','19','14']) ).
cnf('90',plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X2006)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_2r1r1(X,Y)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[],['77','89']) ).
cnf('91',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('92',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],['91','2','3']) ).
cnf('93',plain,
( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc24)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['21','92','24','19','14']) ).
cnf('94',plain,
ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,skc24),
inference(resolution,[],['93','6']) ).
cnf('95',plain,
( ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_2r1r1(X,Y)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[],['90','94']) ).
cnf('96',plain,
( ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[],['95','6']) ).
cnf('97',plain,
( ~ $pr(ssNder1_0)
| ~ ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,skc31)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause7]) ).
cnf('98',plain,
( ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc31)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['97','2','3']) ).
cnf('99',plain,
( ~ ssNder1_2r1r1(X,Y)
| ssPv19_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['96','98','14']) ).
cnf('100',plain,
ssPv19_2r1r1(X3,Y3),
inference(resolution,[],['99','6']) ).
cnf('101',plain,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[],['68','100']) ).
cnf('102',plain,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006) ),
inference(resolution,[],['101','6']) ).
cnf('103',plain,
( ~ $pr(ssNder1_0)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,skc22)
| ~ 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('104',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,skc22)
| ~ 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],['103','2','3']) ).
cnf('105',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,skc22)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['46','104','49','44','39','34','29','24','19','14']) ).
cnf('106',plain,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,skc22),
inference(resolution,[],['105','6']) ).
cnf('107',plain,
( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006) ),
inference(resolution,[],['102','106']) ).
cnf('108',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)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ssPv17_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause37]) ).
cnf('109',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)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ssPv17_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['108','2','3']) ).
cnf('110',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv17_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['51','109','54','49','44','39','34','29','24','19','14']) ).
cnf('111',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference(resolution,[],['110','6']) ).
cnf('112',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('113',plain,
( ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['112','2','3']) ).
cnf('114',plain,
( ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[],['7','113']) ).
cnf('115',plain,
ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30),
inference(resolution,[],['114','6']) ).
cnf('116',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X2006,X2007,X2008,X2009,X2010)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference(resolution,[],['111','115']) ).
cnf('117',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,[],[clause26]) ).
cnf('118',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],['117','2','3']) ).
cnf('119',plain,
( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X2006,X2007,X2008,X2009,X2010)
| ssPv17_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['116','118','19','14','54','49','44','39','34','29','24']) ).
cnf('120',plain,
( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X2006,X2007,X2008,X2009,X2010)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference(resolution,[],['119','6']) ).
cnf('121',plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference(resolution,[],['107','120']) ).
cnf('122',plain,
ssPv17_4r1r1r1r1(X3,Y3,Z3,U3),
inference(resolution,[],['121','76']) ).
cnf('123',plain,
( ~ $pr(ssNder1_0)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ 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)
| ~ 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)
| ssPv18_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause46]) ).
cnf('124',plain,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ 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)
| ~ 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)
| ssPv18_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['123','2','3']) ).
cnf('125',plain,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv18_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['56','124','59','54','49','44','39','34','29','24','19','14']) ).
cnf('126',plain,
( ~ $pr(ssNder1_0)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| 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)
| ~ 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,[],[clause36]) ).
cnf('127',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| 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)
| ~ 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],['126','2','3']) ).
cnf('128',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009,X3010,X3011,X3012)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3,X3006,X3007,X3008,X3009)
| ~ ssPv15_6r1r1r1r1r1r1(X3,Y3,Z3,U3,V3,W3)
| ~ ssPv19_2r1r1(X3,Y3)
| ~ ssNder1_2r1r1(X3,Y3) ),
inference(resolution,[then_simplify],['51','127','54','49','44','39','34','29','24','19','14']) ).
cnf('129',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[],['128','100']) ).
cnf('130',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
inference(resolution,[],['129','6']) ).
cnf('131',plain,
( ~ $pr(ssNder1_0)
| ssPv15_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,skc28)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause9]) ).
cnf('132',plain,
( ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['131','2','3']) ).
cnf('133',plain,
( ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['11','132','14']) ).
cnf('134',plain,
ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28),
inference(resolution,[],['133','6']) ).
cnf('135',plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X2006,X2007,X2008) ),
inference(resolution,[],['130','134']) ).
cnf('136',plain,
( ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X2006,X2007,X2008)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['135','118','24','19','14','54','49','44','39','34','29']) ).
cnf('137',plain,
ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X2006,X2007,X2008),
inference(resolution,[],['136','6']) ).
cnf('138',plain,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv18_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[],['125','137']) ).
cnf('139',plain,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv18_3r1r1r1(X,Y,Z) ),
inference(resolution,[],['138','6']) ).
cnf('140',plain,
( ~ $pr(ssNder1_0)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc21)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause30]) ).
cnf('141',plain,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,skc21)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['140','2','3']) ).
cnf('142',plain,
( ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv18_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['139','141','24','19','14','59','54','49','44','39','34','29']) ).
cnf('143',plain,
( ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv18_3r1r1r1(X,Y,Z) ),
inference(resolution,[],['142','6']) ).
cnf('144',plain,
( ssPv18_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['143','98','14']) ).
cnf('145',plain,
ssPv18_3r1r1r1(X3,Y3,Z3),
inference(resolution,[],['144','6']) ).
cnf('146',plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['65','122','145']) ).
cnf('147',plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,X2014)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013) ),
inference(resolution,[],['146','6']) ).
cnf('148',plain,
( ~ $pr(ssNder1_0)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc18)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[clause34]) ).
cnf('149',plain,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc18)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y) ),
inference(simplify,[then_simplify],['148','2','3']) ).
cnf('150',plain,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc18)
| ~ ssNder1_2r1r1(X,Y) ),
inference(resolution,[then_simplify],['56','149','59','54','49','44','39','34','29','24','19','14']) ).
cnf('151',plain,
ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013,skc18),
inference(resolution,[],['150','6']) ).
cnf('152',plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X2006,X2007,X2008,X2009,X2010,X2011,X2012,X2013),
inference(resolution,[],['147','151']) ).
cnf('153',plain,
~ ssNder1_2r1r1(X,Y),
inference(resolution,[then_simplify],['152','141','59','54','49','44','39','34','29','24','19','14']) ).
cnf('154',plain,
$false,
inference(resolution,[],['153','6']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN892-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : gkc %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 20:37:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.39
% 0.13/0.39 input clause set summed statistics:
% 0.13/0.39 ----------------------------------
% 0.13/0.39 in_clause_count: 86
% 0.13/0.39 in_rule_clause_count: 86
% 0.13/0.39 in_fact_clause_count: 0
% 0.13/0.39 in_answer_clause_count: 0
% 0.13/0.39 in_ground_clause_count: 1
% 0.13/0.39 in_unit_clause_count: 1
% 0.13/0.39 in_horn_clause_count: 52
% 0.13/0.39 in_pos_clause_count: 1
% 0.13/0.39 in_neg_clause_count: 13
% 0.13/0.39 in_poseq_clause_count: 0
% 0.13/0.39 in_negeq_clause_count: 0
% 0.13/0.39 in_unitposeq_clause_count: 0
% 0.13/0.39 in_chain_clause_count: 0
% 0.13/0.39 in_min_length: 1
% 0.13/0.39 in_max_length: 24
% 0.13/0.39 in_min_depth: 1
% 0.13/0.39 in_max_depth: 1
% 0.13/0.39 in_min_size: 2
% 0.13/0.39 in_max_size: 281
% 0.13/0.39 in_min_vars: 0
% 0.13/0.39 in_max_vars: 20
% 0.13/0.39 in_extaxiom_count: 0
% 0.13/0.39 in_axiom_count: 0
% 0.13/0.39 in_assumption_count: 0
% 0.13/0.39 in_goal_count: 86
% 0.13/0.39 in_neg_goal_count: 13
% 0.13/0.39 in_pos_goal_count: 1
% 0.13/0.39 in_posunit_goal_count: 1
% 0.13/0.39
% 0.13/0.39 auto guide:
% 0.13/0.39 -----------
% 0.13/0.39 {
% 0.13/0.39 "print":1,
% 0.13/0.39 "print_level": 15,
% 0.13/0.39 "max_size": 0,
% 0.13/0.39 "max_depth": 0,
% 0.13/0.39 "max_length": 0,
% 0.13/0.39 "max_dseconds": 0,
% 0.13/0.39 "equality":0,
% 0.13/0.39 "runs":[
% 0.13/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.39 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.39 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.39 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.13/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.13/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
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% 0.13/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
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% 0.13/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
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% 0.13/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.13/0.39 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.13/0.39 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.13/0.39 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.13/0.39 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
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% 0.13/0.39 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.39 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.39 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.13/0.39 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.39 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.13/0.39 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.39 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.13/0.39 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
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% 0.13/0.39
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% 0.13/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.39 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.13/0.39 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.13/0.39 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.13/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.39 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.39
% 0.13/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.39 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.39 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.13/0.39 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.13/0.39 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.13/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.39 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.13/0.39
% 0.13/0.39 ]}
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 **** run 1 fork 0 starts with strategy
% 0.13/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.39
% 0.13/0.39 **** run 2 fork 1 starts with strategy
% 0.13/0.39 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.39
% 0.13/0.39 **** run 3 fork 2 starts with strategy
% 0.13/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39
% 0.13/0.39 **** run 4 fork 3 starts with strategy
% 0.13/0.39 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39
% 0.13/0.39 **** run 5 fork 4 starts with strategy
% 0.13/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.39
% 0.13/0.39 **** run 6 fork 5 starts with strategy
% 0.13/0.39 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39
% 0.13/0.39 **** run 7 fork 6 starts with strategy
% 0.13/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.13/0.40
% 0.13/0.40 **** run 8 fork 7 starts with strategy
% 0.13/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 result: proof found
% 0.20/0.42 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42
% 0.20/0.42 run 7 fork 6 statistics:
% 0.20/0.42 ----------------------------------
% 0.20/0.42 this run seconds: 0.015572
% 0.20/0.42 total seconds: 0.033831
% 0.20/0.42 stat_given_used: 208
% 0.20/0.42 stat_given_used_at_endgame: 0
% 0.20/0.42 stat_given_candidates: 220
% 0.20/0.42 stat_given_candidates_at_endgame: 0
% 0.20/0.42 stat_given_candidates_h: 0
% 0.20/0.42 stat_binres_derived_cl: 174
% 0.20/0.42 stat_binres_derived_cl_h: 0
% 0.20/0.42 stat_factor_derived_cl: 0
% 0.20/0.42 stat_para_derived_cl: 0
% 0.20/0.42 stat_tautologies_discarded: 2
% 0.20/0.42 stat_forward_subsumed: 15
% 0.20/0.42 stat_derived_cut: 170
% 0.20/0.42 stat_derived_rewritten: 0
% 0.20/0.42 stat_weight_discarded_building: 0
% 0.20/0.42 stat_weight_discarded_cl: 0
% 0.20/0.42 stat_internlimit_discarded_cl: 0
% 0.20/0.42 stat_simplified: 93 simplified 0 derived 0 given
% 0.20/0.42 stat_kept_cl: 156
% 0.20/0.42 stat_built_cl: 665
% 0.20/0.42 stat_hyperres_partial_cl: 0
% 0.20/0.42 stat_made_rewriters: 0
% 0.20/0.42 stat_backward_subsumed: 0
% 0.20/0.42 stat_propagated_subsumed: 0
% 0.20/0.42 stat_clsubs_attempted: 1191
% 0.20/0.42 stat_clsubs_fact_groundunit_found: 0
% 0.20/0.42 stat_clsubs_rule_groundunit_found: 1
% 0.20/0.42 stat_clsubs_top_meta_attempted: 21967
% 0.20/0.42 stat_clsubs_top_meta_failed: 20776
% 0.20/0.42 stat_clsubs_top_meta_nonpref_attempted: 21967
% 0.20/0.42 stat_clsubs_top_meta_nonpref_succeeded: 8401
% 0.20/0.42 stat_clsubs_top_meta_pref_attempted: 8401
% 0.20/0.42 stat_clsubs_top_meta_pref1_succeeded: 1191
% 0.20/0.42 stat_clsubs_top_meta_pref2_succeeded: 1191
% 0.20/0.42 stat_clsubs_top_meta_pref3_succeeded: 1191
% 0.20/0.42 stat_clsubs_top_meta_pref_succeeded: 1191
% 0.20/0.42 stat_clsubs_meta_attempted: 5495
% 0.20/0.42 stat_clsubs_meta_failed: 5190
% 0.20/0.42 stat_clsubs_predsymbs_attempted: 0
% 0.20/0.42 stat_clsubs_unit_attempted: 384
% 0.20/0.42 stat_clsubs_full_attempted: 807
% 0.20/0.42 stat_forwardsubs_attempted: 171
% 0.20/0.42 stat_lit_hash_added: 124
% 0.20/0.42 stat_lit_hash_computed: 5229
% 0.20/0.42 stat_lit_hash_match_found: 910
% 0.20/0.42 stat_lit_hash_match_miss: 7088
% 0.20/0.42 stat_lit_hash_cut_ok: 974
% 0.20/0.42 stat_lit_strong_cut_ok: 20
% 0.20/0.42 stat_lit_hash_subsume_ok: 15
% 0.20/0.42 clqueue els 10000000 used 1
% 0.20/0.42 clactive els 10000000 used 209
% 0.20/0.42 clactivesubsume els 10000000 used 1243
% 0.20/0.42 queue_termbuf els 200000000 used 31437
% 0.20/0.42 hyper_termbuf els 100000000 used 1
% 0.20/0.42 active_termbuf els 100000000 used 24442
% 0.20/0.42 varstack els 5000 last used 1
% 0.20/0.42 given_termbuf els 10000000 last used 14
% 0.20/0.42 simplified_termbuf els 10000000 last used 1
% 0.20/0.42 derived_termbuf els 10000000 last used 3
% 0.20/0.42 wr_mallocs: 632
% 0.20/0.42 wr_callocs: 21
% 0.20/0.42 wr_reallocs: 28
% 0.20/0.42 wr_frees: 2
% 0.20/0.42 wr_malloc_bytes: 4162606404
% 0.20/0.42 wr_calloc_bytes: 112065536
% 0.20/0.42 wr_realloc_bytes: 134624
% 0.20/0.42 wr_realloc_freebytes: 0
% 0.20/0.42 ----------------------------------
%------------------------------------------------------------------------------