TSTP Solution File: SYO666-1 by JavaRes---1.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYO666-1 : TPTP v7.5.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Mar 29 03:33:57 EDT 2022
% Result : Unsatisfiable 184.08s 171.59s
% Output : CNFRefutation 184.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_98,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(c13,plain,
( 'E'(s('0'),f(X14))
| 'E'('0',f(X14))
| 'LE'(f(X14),'0') ),
inference(resolution,status(thm),[c10,clause_42]) ).
cnf(c17,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c13,clause_98]) ).
cnf(clause_98_001,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42_002,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83_003,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_004,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_005,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(clause_70,axiom,
( ~ 'E'(s('0'),f(X11))
| ~ 'E'(s('0'),f(suc(X11)))
| iLEQ(suc(X11),suc(X11)) ),
input ).
cnf(clause_83_006,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c19,plain,
( 'LE'(f(X18),s('0'))
| ~ 'E'(s('0'),f(X18))
| iLEQ(suc(X18),suc(X18)) ),
inference(resolution,status(thm),[c18,clause_70]) ).
cnf(c31,plain,
( 'LE'(f(X19),s('0'))
| iLEQ(suc(X19),suc(X19)) ),
inference(resolution,status(thm),[c19,c10]) ).
cnf(c34,plain,
( iLEQ(suc(X26),suc(X26))
| 'E'('0',f(X26))
| 'LE'(f(X26),'0') ),
inference(resolution,status(thm),[c31,clause_42]) ).
cnf(c52,plain,
( iLEQ(suc(z),suc(z))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c34,clause_98]) ).
cnf(clause_98_007,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42_008,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83_009,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_010,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_011,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c21,plain,
( 'E'(s('0'),f(suc(X17)))
| 'E'('0',f(X17))
| 'LE'(f(X17),'0') ),
inference(resolution,status(thm),[c18,clause_42]) ).
cnf(c25,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c21,clause_98]) ).
cnf(clause_98_012,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42_013,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83_014,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_015,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_016,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c21_017,plain,
( 'E'(s('0'),f(suc(X17)))
| 'E'('0',f(X17))
| 'LE'(f(X17),'0') ),
inference(resolution,status(thm),[c18,clause_42]) ).
cnf(c25_018,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c21,clause_98]) ).
cnf(clause_12,axiom,
( ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
input ).
cnf(clause_98_019,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_123,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_83_020,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_021,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_022,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(c12,plain,
( 'E'(s('0'),f(suc(X27)))
| 'E'('0',f(suc(X27)))
| 'LE'(f(X27),'0') ),
inference(resolution,status(thm),[c10,clause_123]) ).
cnf(c58,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,status(thm),[c12,clause_98]) ).
cnf(c63,plain,
( 'E'(s('0'),f(suc(z)))
| ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c58,clause_12]) ).
cnf(c111,plain,
( 'E'(s('0'),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c63,c25]) ).
cnf(clause_98_023,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_123_024,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_83_025,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_026,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_027,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(c12_028,plain,
( 'E'(s('0'),f(suc(X27)))
| 'E'('0',f(suc(X27)))
| 'LE'(f(X27),'0') ),
inference(resolution,status(thm),[c10,clause_123]) ).
cnf(c58_029,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,status(thm),[c12,clause_98]) ).
cnf(clause_102,axiom,
( ~ iLEQ(suc(X5),suc(X6))
| ~ 'E'('0',f(suc(X7)))
| ~ 'E'('0',f(suc(X5)))
| ~ iLEQ(suc(X6),suc(X8))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(X7))
| ~ 'E'('0',f(suc(X9)))
| ~ 'E'('0',f(X6))
| ~ iLEQ(suc(X10),suc(X5))
| ~ 'E'('0',f(X5))
| ~ iLEQ(suc(X9),suc(X10))
| ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X9))
| ~ iLEQ(suc(X7),suc(X9))
| ~ 'E'('0',f(suc(X10)))
| ~ 'E'('0',f(X8))
| ~ 'E'('0',f(X10)) ),
input ).
cnf(c0,plain,
( ~ iLEQ(suc(X29),suc(X30))
| ~ 'E'('0',f(suc(X31)))
| ~ 'E'('0',f(suc(X29)))
| ~ iLEQ(suc(X30),suc(X32))
| ~ 'E'('0',f(suc(X30)))
| ~ 'E'('0',f(X31))
| ~ 'E'('0',f(suc(X33)))
| ~ 'E'('0',f(X30))
| ~ iLEQ(suc(X31),suc(X29))
| ~ 'E'('0',f(X29))
| ~ iLEQ(suc(X33),suc(X31))
| ~ 'E'('0',f(suc(X32)))
| ~ 'E'('0',f(X33))
| ~ iLEQ(suc(X31),suc(X33))
| ~ 'E'('0',f(X32)) ),
inference(factor,status(thm),[clause_102]) ).
cnf(c73,plain,
( ~ iLEQ(suc(X280),suc(X281))
| ~ 'E'('0',f(suc(X281)))
| ~ 'E'('0',f(suc(X280)))
| ~ iLEQ(suc(X281),suc(X282))
| ~ 'E'('0',f(X281))
| ~ 'E'('0',f(suc(X282)))
| ~ iLEQ(suc(X281),suc(X280))
| ~ 'E'('0',f(X280))
| ~ iLEQ(suc(X282),suc(X281))
| ~ 'E'('0',f(X282)) ),
inference(factor,status(thm),[c0]) ).
cnf(c1352,plain,
( ~ iLEQ(suc(X283),suc(X283))
| ~ 'E'('0',f(suc(X283)))
| ~ 'E'('0',f(X283)) ),
inference(factor,status(thm),[c73]) ).
cnf(c1401,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,status(thm),[c1352,c58]) ).
cnf(c1407,plain,
( ~ 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,status(thm),[c1401,c111]) ).
cnf(c1417,plain,
'E'(s('0'),f(suc(z))),
inference(resolution,status(thm),[c1407,c25]) ).
cnf(clause_179,axiom,
( ~ 'E'(s('0'),f(X20))
| ~ iLEQ(suc(X21),suc(X22))
| ~ 'E'(s('0'),f(X23))
| ~ 'E'(s('0'),f(suc(X23)))
| ~ iLEQ(suc(X24),suc(X21))
| ~ 'E'(s('0'),f(X21))
| ~ 'E'(s('0'),f(suc(X21)))
| ~ iLEQ(suc(X20),suc(X24))
| ~ 'E'(s('0'),f(suc(X20)))
| ~ iLEQ(suc(X22),suc(X25))
| ~ 'E'(s('0'),f(suc(X24)))
| ~ 'E'(s('0'),f(X25))
| ~ 'E'(s('0'),f(suc(X22)))
| ~ iLEQ(suc(X23),suc(X20))
| ~ 'E'(s('0'),f(X24))
| ~ 'E'(s('0'),f(X22))
| ~ 'E'(s('0'),f(suc(X25))) ),
input ).
cnf(c39,plain,
( ~ 'E'(s('0'),f(X152))
| ~ iLEQ(suc(X153),suc(X154))
| ~ 'E'(s('0'),f(X155))
| ~ 'E'(s('0'),f(suc(X155)))
| ~ iLEQ(suc(X156),suc(X153))
| ~ 'E'(s('0'),f(X153))
| ~ 'E'(s('0'),f(suc(X153)))
| ~ iLEQ(suc(X152),suc(X156))
| ~ 'E'(s('0'),f(suc(X152)))
| ~ iLEQ(suc(X154),suc(X153))
| ~ 'E'(s('0'),f(suc(X156)))
| ~ 'E'(s('0'),f(suc(X154)))
| ~ iLEQ(suc(X155),suc(X152))
| ~ 'E'(s('0'),f(X156))
| ~ 'E'(s('0'),f(X154)) ),
inference(factor,status(thm),[clause_179]) ).
cnf(c583,plain,
( ~ 'E'(s('0'),f(X2336))
| ~ iLEQ(suc(X2337),suc(X2337))
| ~ 'E'(s('0'),f(X2338))
| ~ 'E'(s('0'),f(suc(X2338)))
| ~ iLEQ(suc(X2339),suc(X2337))
| ~ 'E'(s('0'),f(X2337))
| ~ 'E'(s('0'),f(suc(X2337)))
| ~ iLEQ(suc(X2336),suc(X2339))
| ~ 'E'(s('0'),f(suc(X2336)))
| ~ 'E'(s('0'),f(suc(X2339)))
| ~ iLEQ(suc(X2338),suc(X2336))
| ~ 'E'(s('0'),f(X2339)) ),
inference(factor,status(thm),[c39]) ).
cnf(c9498,plain,
( ~ 'E'(s('0'),f(X3396))
| ~ iLEQ(suc(X3397),suc(X3397))
| ~ 'E'(s('0'),f(X3398))
| ~ 'E'(s('0'),f(suc(X3398)))
| ~ 'E'(s('0'),f(X3397))
| ~ 'E'(s('0'),f(suc(X3397)))
| ~ iLEQ(suc(X3396),suc(X3397))
| ~ 'E'(s('0'),f(suc(X3396)))
| ~ iLEQ(suc(X3398),suc(X3396)) ),
inference(factor,status(thm),[c583]) ).
cnf(c14065,plain,
( ~ 'E'(s('0'),f(X3403))
| ~ iLEQ(suc(X3403),suc(X3403))
| ~ 'E'(s('0'),f(X3404))
| ~ 'E'(s('0'),f(suc(X3404)))
| ~ 'E'(s('0'),f(suc(X3403)))
| ~ iLEQ(suc(X3404),suc(X3403)) ),
inference(factor,status(thm),[c9498]) ).
cnf(c14127,plain,
( ~ 'E'(s('0'),f(X3405))
| ~ iLEQ(suc(X3405),suc(X3405))
| ~ 'E'(s('0'),f(suc(X3405))) ),
inference(factor,status(thm),[c14065]) ).
cnf(c14169,plain,
( ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c14127,c1417]) ).
cnf(c14212,plain,
( ~ 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c14169,c52]) ).
cnf(c14219,plain,
'E'('0',f(z)),
inference(resolution,status(thm),[c14212,c17]) ).
cnf(clause_102_030,axiom,
( ~ iLEQ(suc(X5),suc(X6))
| ~ 'E'('0',f(suc(X7)))
| ~ 'E'('0',f(suc(X5)))
| ~ iLEQ(suc(X6),suc(X8))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(X7))
| ~ 'E'('0',f(suc(X9)))
| ~ 'E'('0',f(X6))
| ~ iLEQ(suc(X10),suc(X5))
| ~ 'E'('0',f(X5))
| ~ iLEQ(suc(X9),suc(X10))
| ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X9))
| ~ iLEQ(suc(X7),suc(X9))
| ~ 'E'('0',f(suc(X10)))
| ~ 'E'('0',f(X8))
| ~ 'E'('0',f(X10)) ),
input ).
cnf(c0_031,plain,
( ~ iLEQ(suc(X29),suc(X30))
| ~ 'E'('0',f(suc(X31)))
| ~ 'E'('0',f(suc(X29)))
| ~ iLEQ(suc(X30),suc(X32))
| ~ 'E'('0',f(suc(X30)))
| ~ 'E'('0',f(X31))
| ~ 'E'('0',f(suc(X33)))
| ~ 'E'('0',f(X30))
| ~ iLEQ(suc(X31),suc(X29))
| ~ 'E'('0',f(X29))
| ~ iLEQ(suc(X33),suc(X31))
| ~ 'E'('0',f(suc(X32)))
| ~ 'E'('0',f(X33))
| ~ iLEQ(suc(X31),suc(X33))
| ~ 'E'('0',f(X32)) ),
inference(factor,status(thm),[clause_102]) ).
cnf(c73_032,plain,
( ~ iLEQ(suc(X280),suc(X281))
| ~ 'E'('0',f(suc(X281)))
| ~ 'E'('0',f(suc(X280)))
| ~ iLEQ(suc(X281),suc(X282))
| ~ 'E'('0',f(X281))
| ~ 'E'('0',f(suc(X282)))
| ~ iLEQ(suc(X281),suc(X280))
| ~ 'E'('0',f(X280))
| ~ iLEQ(suc(X282),suc(X281))
| ~ 'E'('0',f(X282)) ),
inference(factor,status(thm),[c0]) ).
cnf(c1352_033,plain,
( ~ iLEQ(suc(X283),suc(X283))
| ~ 'E'('0',f(suc(X283)))
| ~ 'E'('0',f(X283)) ),
inference(factor,status(thm),[c73]) ).
cnf(clause_98_034,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_123_035,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_83_036,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_037,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_038,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(clause_83_039,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_040,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_041,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(clause_70_042,axiom,
( ~ 'E'(s('0'),f(X11))
| ~ 'E'(s('0'),f(suc(X11)))
| iLEQ(suc(X11),suc(X11)) ),
input ).
cnf(clause_83_043,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_044,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_045,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c19_046,plain,
( 'LE'(f(X18),s('0'))
| ~ 'E'(s('0'),f(X18))
| iLEQ(suc(X18),suc(X18)) ),
inference(resolution,status(thm),[c18,clause_70]) ).
cnf(c31_047,plain,
( 'LE'(f(X19),s('0'))
| iLEQ(suc(X19),suc(X19)) ),
inference(resolution,status(thm),[c19,c10]) ).
cnf(clause_83_048,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_049,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_050,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(clause_179_051,axiom,
( ~ 'E'(s('0'),f(X20))
| ~ iLEQ(suc(X21),suc(X22))
| ~ 'E'(s('0'),f(X23))
| ~ 'E'(s('0'),f(suc(X23)))
| ~ iLEQ(suc(X24),suc(X21))
| ~ 'E'(s('0'),f(X21))
| ~ 'E'(s('0'),f(suc(X21)))
| ~ iLEQ(suc(X20),suc(X24))
| ~ 'E'(s('0'),f(suc(X20)))
| ~ iLEQ(suc(X22),suc(X25))
| ~ 'E'(s('0'),f(suc(X24)))
| ~ 'E'(s('0'),f(X25))
| ~ 'E'(s('0'),f(suc(X22)))
| ~ iLEQ(suc(X23),suc(X20))
| ~ 'E'(s('0'),f(X24))
| ~ 'E'(s('0'),f(X22))
| ~ 'E'(s('0'),f(suc(X25))) ),
input ).
cnf(c39_052,plain,
( ~ 'E'(s('0'),f(X152))
| ~ iLEQ(suc(X153),suc(X154))
| ~ 'E'(s('0'),f(X155))
| ~ 'E'(s('0'),f(suc(X155)))
| ~ iLEQ(suc(X156),suc(X153))
| ~ 'E'(s('0'),f(X153))
| ~ 'E'(s('0'),f(suc(X153)))
| ~ iLEQ(suc(X152),suc(X156))
| ~ 'E'(s('0'),f(suc(X152)))
| ~ iLEQ(suc(X154),suc(X153))
| ~ 'E'(s('0'),f(suc(X156)))
| ~ 'E'(s('0'),f(suc(X154)))
| ~ iLEQ(suc(X155),suc(X152))
| ~ 'E'(s('0'),f(X156))
| ~ 'E'(s('0'),f(X154)) ),
inference(factor,status(thm),[clause_179]) ).
cnf(c583_053,plain,
( ~ 'E'(s('0'),f(X2336))
| ~ iLEQ(suc(X2337),suc(X2337))
| ~ 'E'(s('0'),f(X2338))
| ~ 'E'(s('0'),f(suc(X2338)))
| ~ iLEQ(suc(X2339),suc(X2337))
| ~ 'E'(s('0'),f(X2337))
| ~ 'E'(s('0'),f(suc(X2337)))
| ~ iLEQ(suc(X2336),suc(X2339))
| ~ 'E'(s('0'),f(suc(X2336)))
| ~ 'E'(s('0'),f(suc(X2339)))
| ~ iLEQ(suc(X2338),suc(X2336))
| ~ 'E'(s('0'),f(X2339)) ),
inference(factor,status(thm),[c39]) ).
cnf(c9498_054,plain,
( ~ 'E'(s('0'),f(X3396))
| ~ iLEQ(suc(X3397),suc(X3397))
| ~ 'E'(s('0'),f(X3398))
| ~ 'E'(s('0'),f(suc(X3398)))
| ~ 'E'(s('0'),f(X3397))
| ~ 'E'(s('0'),f(suc(X3397)))
| ~ iLEQ(suc(X3396),suc(X3397))
| ~ 'E'(s('0'),f(suc(X3396)))
| ~ iLEQ(suc(X3398),suc(X3396)) ),
inference(factor,status(thm),[c583]) ).
cnf(c14065_055,plain,
( ~ 'E'(s('0'),f(X3403))
| ~ iLEQ(suc(X3403),suc(X3403))
| ~ 'E'(s('0'),f(X3404))
| ~ 'E'(s('0'),f(suc(X3404)))
| ~ 'E'(s('0'),f(suc(X3403)))
| ~ iLEQ(suc(X3404),suc(X3403)) ),
inference(factor,status(thm),[c9498]) ).
cnf(c14127_056,plain,
( ~ 'E'(s('0'),f(X3405))
| ~ iLEQ(suc(X3405),suc(X3405))
| ~ 'E'(s('0'),f(suc(X3405))) ),
inference(factor,status(thm),[c14065]) ).
cnf(c14179,plain,
( ~ 'E'(s('0'),f(X3485))
| ~ iLEQ(suc(X3485),suc(X3485))
| 'LE'(f(X3485),s('0')) ),
inference(resolution,status(thm),[c14127,c18]) ).
cnf(c15324,plain,
( ~ 'E'(s('0'),f(X3486))
| 'LE'(f(X3486),s('0')) ),
inference(resolution,status(thm),[c14179,c31]) ).
cnf(c15395,plain,
'LE'(f(X3487),s('0')),
inference(resolution,status(thm),[c15324,c10]) ).
cnf(c15425,plain,
( 'E'('0',f(suc(X3493)))
| 'LE'(f(X3493),'0') ),
inference(resolution,status(thm),[c15395,clause_123]) ).
cnf(c15465,plain,
'E'('0',f(suc(z))),
inference(resolution,status(thm),[c15425,clause_98]) ).
cnf(c15487,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z)) ),
inference(resolution,status(thm),[c15465,c1352]) ).
cnf(clause_98_057,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42_058,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83_059,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_060,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_061,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(c13_062,plain,
( 'E'(s('0'),f(X14))
| 'E'('0',f(X14))
| 'LE'(f(X14),'0') ),
inference(resolution,status(thm),[c10,clause_42]) ).
cnf(c17_063,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c13,clause_98]) ).
cnf(clause_98_064,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42_065,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83_066,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_067,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_068,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(clause_70_069,axiom,
( ~ 'E'(s('0'),f(X11))
| ~ 'E'(s('0'),f(suc(X11)))
| iLEQ(suc(X11),suc(X11)) ),
input ).
cnf(clause_83_070,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_071,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_072,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c19_073,plain,
( 'LE'(f(X18),s('0'))
| ~ 'E'(s('0'),f(X18))
| iLEQ(suc(X18),suc(X18)) ),
inference(resolution,status(thm),[c18,clause_70]) ).
cnf(c31_074,plain,
( 'LE'(f(X19),s('0'))
| iLEQ(suc(X19),suc(X19)) ),
inference(resolution,status(thm),[c19,c10]) ).
cnf(c34_075,plain,
( iLEQ(suc(X26),suc(X26))
| 'E'('0',f(X26))
| 'LE'(f(X26),'0') ),
inference(resolution,status(thm),[c31,clause_42]) ).
cnf(c52_076,plain,
( iLEQ(suc(z),suc(z))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c34,clause_98]) ).
cnf(clause_98_077,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42_078,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83_079,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_080,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_081,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c21_082,plain,
( 'E'(s('0'),f(suc(X17)))
| 'E'('0',f(X17))
| 'LE'(f(X17),'0') ),
inference(resolution,status(thm),[c18,clause_42]) ).
cnf(c25_083,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c21,clause_98]) ).
cnf(clause_98_084,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_42_085,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_83_086,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_087,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_088,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c21_089,plain,
( 'E'(s('0'),f(suc(X17)))
| 'E'('0',f(X17))
| 'LE'(f(X17),'0') ),
inference(resolution,status(thm),[c18,clause_42]) ).
cnf(c25_090,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c21,clause_98]) ).
cnf(clause_12_091,axiom,
( ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
input ).
cnf(clause_98_092,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_123_093,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_83_094,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_095,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_096,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(c12_097,plain,
( 'E'(s('0'),f(suc(X27)))
| 'E'('0',f(suc(X27)))
| 'LE'(f(X27),'0') ),
inference(resolution,status(thm),[c10,clause_123]) ).
cnf(c58_098,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,status(thm),[c12,clause_98]) ).
cnf(c63_099,plain,
( 'E'(s('0'),f(suc(z)))
| ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c58,clause_12]) ).
cnf(c111_100,plain,
( 'E'(s('0'),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c63,c25]) ).
cnf(clause_98_101,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_123_102,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_83_103,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_104,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_105,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(c12_106,plain,
( 'E'(s('0'),f(suc(X27)))
| 'E'('0',f(suc(X27)))
| 'LE'(f(X27),'0') ),
inference(resolution,status(thm),[c10,clause_123]) ).
cnf(c58_107,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,status(thm),[c12,clause_98]) ).
cnf(clause_102_108,axiom,
( ~ iLEQ(suc(X5),suc(X6))
| ~ 'E'('0',f(suc(X7)))
| ~ 'E'('0',f(suc(X5)))
| ~ iLEQ(suc(X6),suc(X8))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(X7))
| ~ 'E'('0',f(suc(X9)))
| ~ 'E'('0',f(X6))
| ~ iLEQ(suc(X10),suc(X5))
| ~ 'E'('0',f(X5))
| ~ iLEQ(suc(X9),suc(X10))
| ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X9))
| ~ iLEQ(suc(X7),suc(X9))
| ~ 'E'('0',f(suc(X10)))
| ~ 'E'('0',f(X8))
| ~ 'E'('0',f(X10)) ),
input ).
cnf(c0_109,plain,
( ~ iLEQ(suc(X29),suc(X30))
| ~ 'E'('0',f(suc(X31)))
| ~ 'E'('0',f(suc(X29)))
| ~ iLEQ(suc(X30),suc(X32))
| ~ 'E'('0',f(suc(X30)))
| ~ 'E'('0',f(X31))
| ~ 'E'('0',f(suc(X33)))
| ~ 'E'('0',f(X30))
| ~ iLEQ(suc(X31),suc(X29))
| ~ 'E'('0',f(X29))
| ~ iLEQ(suc(X33),suc(X31))
| ~ 'E'('0',f(suc(X32)))
| ~ 'E'('0',f(X33))
| ~ iLEQ(suc(X31),suc(X33))
| ~ 'E'('0',f(X32)) ),
inference(factor,status(thm),[clause_102]) ).
cnf(c73_110,plain,
( ~ iLEQ(suc(X280),suc(X281))
| ~ 'E'('0',f(suc(X281)))
| ~ 'E'('0',f(suc(X280)))
| ~ iLEQ(suc(X281),suc(X282))
| ~ 'E'('0',f(X281))
| ~ 'E'('0',f(suc(X282)))
| ~ iLEQ(suc(X281),suc(X280))
| ~ 'E'('0',f(X280))
| ~ iLEQ(suc(X282),suc(X281))
| ~ 'E'('0',f(X282)) ),
inference(factor,status(thm),[c0]) ).
cnf(c1352_111,plain,
( ~ iLEQ(suc(X283),suc(X283))
| ~ 'E'('0',f(suc(X283)))
| ~ 'E'('0',f(X283)) ),
inference(factor,status(thm),[c73]) ).
cnf(c1401_112,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,status(thm),[c1352,c58]) ).
cnf(c1407_113,plain,
( ~ 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,status(thm),[c1401,c111]) ).
cnf(c1417_114,plain,
'E'(s('0'),f(suc(z))),
inference(resolution,status(thm),[c1407,c25]) ).
cnf(clause_179_115,axiom,
( ~ 'E'(s('0'),f(X20))
| ~ iLEQ(suc(X21),suc(X22))
| ~ 'E'(s('0'),f(X23))
| ~ 'E'(s('0'),f(suc(X23)))
| ~ iLEQ(suc(X24),suc(X21))
| ~ 'E'(s('0'),f(X21))
| ~ 'E'(s('0'),f(suc(X21)))
| ~ iLEQ(suc(X20),suc(X24))
| ~ 'E'(s('0'),f(suc(X20)))
| ~ iLEQ(suc(X22),suc(X25))
| ~ 'E'(s('0'),f(suc(X24)))
| ~ 'E'(s('0'),f(X25))
| ~ 'E'(s('0'),f(suc(X22)))
| ~ iLEQ(suc(X23),suc(X20))
| ~ 'E'(s('0'),f(X24))
| ~ 'E'(s('0'),f(X22))
| ~ 'E'(s('0'),f(suc(X25))) ),
input ).
cnf(c39_116,plain,
( ~ 'E'(s('0'),f(X152))
| ~ iLEQ(suc(X153),suc(X154))
| ~ 'E'(s('0'),f(X155))
| ~ 'E'(s('0'),f(suc(X155)))
| ~ iLEQ(suc(X156),suc(X153))
| ~ 'E'(s('0'),f(X153))
| ~ 'E'(s('0'),f(suc(X153)))
| ~ iLEQ(suc(X152),suc(X156))
| ~ 'E'(s('0'),f(suc(X152)))
| ~ iLEQ(suc(X154),suc(X153))
| ~ 'E'(s('0'),f(suc(X156)))
| ~ 'E'(s('0'),f(suc(X154)))
| ~ iLEQ(suc(X155),suc(X152))
| ~ 'E'(s('0'),f(X156))
| ~ 'E'(s('0'),f(X154)) ),
inference(factor,status(thm),[clause_179]) ).
cnf(c583_117,plain,
( ~ 'E'(s('0'),f(X2336))
| ~ iLEQ(suc(X2337),suc(X2337))
| ~ 'E'(s('0'),f(X2338))
| ~ 'E'(s('0'),f(suc(X2338)))
| ~ iLEQ(suc(X2339),suc(X2337))
| ~ 'E'(s('0'),f(X2337))
| ~ 'E'(s('0'),f(suc(X2337)))
| ~ iLEQ(suc(X2336),suc(X2339))
| ~ 'E'(s('0'),f(suc(X2336)))
| ~ 'E'(s('0'),f(suc(X2339)))
| ~ iLEQ(suc(X2338),suc(X2336))
| ~ 'E'(s('0'),f(X2339)) ),
inference(factor,status(thm),[c39]) ).
cnf(c9498_118,plain,
( ~ 'E'(s('0'),f(X3396))
| ~ iLEQ(suc(X3397),suc(X3397))
| ~ 'E'(s('0'),f(X3398))
| ~ 'E'(s('0'),f(suc(X3398)))
| ~ 'E'(s('0'),f(X3397))
| ~ 'E'(s('0'),f(suc(X3397)))
| ~ iLEQ(suc(X3396),suc(X3397))
| ~ 'E'(s('0'),f(suc(X3396)))
| ~ iLEQ(suc(X3398),suc(X3396)) ),
inference(factor,status(thm),[c583]) ).
cnf(c14065_119,plain,
( ~ 'E'(s('0'),f(X3403))
| ~ iLEQ(suc(X3403),suc(X3403))
| ~ 'E'(s('0'),f(X3404))
| ~ 'E'(s('0'),f(suc(X3404)))
| ~ 'E'(s('0'),f(suc(X3403)))
| ~ iLEQ(suc(X3404),suc(X3403)) ),
inference(factor,status(thm),[c9498]) ).
cnf(c14127_120,plain,
( ~ 'E'(s('0'),f(X3405))
| ~ iLEQ(suc(X3405),suc(X3405))
| ~ 'E'(s('0'),f(suc(X3405))) ),
inference(factor,status(thm),[c14065]) ).
cnf(c14169_121,plain,
( ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c14127,c1417]) ).
cnf(c14212_122,plain,
( ~ 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c14169,c52]) ).
cnf(c14219_123,plain,
'E'('0',f(z)),
inference(resolution,status(thm),[c14212,c17]) ).
cnf(clause_12_124,axiom,
( ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
input ).
cnf(clause_98_125,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_123_126,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_83_127,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_128,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_129,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(clause_83_130,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_185_131,axiom,
( ~ 'LE'(f(X12),s(s('0')))
| 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
input ).
cnf(c10_132,plain,
( 'E'(s('0'),f(X13))
| 'LE'(f(X13),s('0')) ),
inference(resolution,status(thm),[clause_185,clause_83]) ).
cnf(clause_70_133,axiom,
( ~ 'E'(s('0'),f(X11))
| ~ 'E'(s('0'),f(suc(X11)))
| iLEQ(suc(X11),suc(X11)) ),
input ).
cnf(clause_83_134,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_135,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_136,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(c19_137,plain,
( 'LE'(f(X18),s('0'))
| ~ 'E'(s('0'),f(X18))
| iLEQ(suc(X18),suc(X18)) ),
inference(resolution,status(thm),[c18,clause_70]) ).
cnf(c31_138,plain,
( 'LE'(f(X19),s('0'))
| iLEQ(suc(X19),suc(X19)) ),
inference(resolution,status(thm),[c19,c10]) ).
cnf(clause_83_139,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_29_140,axiom,
( ~ 'LE'(f(suc(X15)),s(s('0')))
| 'E'(s('0'),f(suc(X15)))
| 'LE'(f(X15),s('0')) ),
input ).
cnf(c18_141,plain,
( 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
inference(resolution,status(thm),[clause_29,clause_83]) ).
cnf(clause_179_142,axiom,
( ~ 'E'(s('0'),f(X20))
| ~ iLEQ(suc(X21),suc(X22))
| ~ 'E'(s('0'),f(X23))
| ~ 'E'(s('0'),f(suc(X23)))
| ~ iLEQ(suc(X24),suc(X21))
| ~ 'E'(s('0'),f(X21))
| ~ 'E'(s('0'),f(suc(X21)))
| ~ iLEQ(suc(X20),suc(X24))
| ~ 'E'(s('0'),f(suc(X20)))
| ~ iLEQ(suc(X22),suc(X25))
| ~ 'E'(s('0'),f(suc(X24)))
| ~ 'E'(s('0'),f(X25))
| ~ 'E'(s('0'),f(suc(X22)))
| ~ iLEQ(suc(X23),suc(X20))
| ~ 'E'(s('0'),f(X24))
| ~ 'E'(s('0'),f(X22))
| ~ 'E'(s('0'),f(suc(X25))) ),
input ).
cnf(c39_143,plain,
( ~ 'E'(s('0'),f(X152))
| ~ iLEQ(suc(X153),suc(X154))
| ~ 'E'(s('0'),f(X155))
| ~ 'E'(s('0'),f(suc(X155)))
| ~ iLEQ(suc(X156),suc(X153))
| ~ 'E'(s('0'),f(X153))
| ~ 'E'(s('0'),f(suc(X153)))
| ~ iLEQ(suc(X152),suc(X156))
| ~ 'E'(s('0'),f(suc(X152)))
| ~ iLEQ(suc(X154),suc(X153))
| ~ 'E'(s('0'),f(suc(X156)))
| ~ 'E'(s('0'),f(suc(X154)))
| ~ iLEQ(suc(X155),suc(X152))
| ~ 'E'(s('0'),f(X156))
| ~ 'E'(s('0'),f(X154)) ),
inference(factor,status(thm),[clause_179]) ).
cnf(c583_144,plain,
( ~ 'E'(s('0'),f(X2336))
| ~ iLEQ(suc(X2337),suc(X2337))
| ~ 'E'(s('0'),f(X2338))
| ~ 'E'(s('0'),f(suc(X2338)))
| ~ iLEQ(suc(X2339),suc(X2337))
| ~ 'E'(s('0'),f(X2337))
| ~ 'E'(s('0'),f(suc(X2337)))
| ~ iLEQ(suc(X2336),suc(X2339))
| ~ 'E'(s('0'),f(suc(X2336)))
| ~ 'E'(s('0'),f(suc(X2339)))
| ~ iLEQ(suc(X2338),suc(X2336))
| ~ 'E'(s('0'),f(X2339)) ),
inference(factor,status(thm),[c39]) ).
cnf(c9498_145,plain,
( ~ 'E'(s('0'),f(X3396))
| ~ iLEQ(suc(X3397),suc(X3397))
| ~ 'E'(s('0'),f(X3398))
| ~ 'E'(s('0'),f(suc(X3398)))
| ~ 'E'(s('0'),f(X3397))
| ~ 'E'(s('0'),f(suc(X3397)))
| ~ iLEQ(suc(X3396),suc(X3397))
| ~ 'E'(s('0'),f(suc(X3396)))
| ~ iLEQ(suc(X3398),suc(X3396)) ),
inference(factor,status(thm),[c583]) ).
cnf(c14065_146,plain,
( ~ 'E'(s('0'),f(X3403))
| ~ iLEQ(suc(X3403),suc(X3403))
| ~ 'E'(s('0'),f(X3404))
| ~ 'E'(s('0'),f(suc(X3404)))
| ~ 'E'(s('0'),f(suc(X3403)))
| ~ iLEQ(suc(X3404),suc(X3403)) ),
inference(factor,status(thm),[c9498]) ).
cnf(c14127_147,plain,
( ~ 'E'(s('0'),f(X3405))
| ~ iLEQ(suc(X3405),suc(X3405))
| ~ 'E'(s('0'),f(suc(X3405))) ),
inference(factor,status(thm),[c14065]) ).
cnf(c14179_148,plain,
( ~ 'E'(s('0'),f(X3485))
| ~ iLEQ(suc(X3485),suc(X3485))
| 'LE'(f(X3485),s('0')) ),
inference(resolution,status(thm),[c14127,c18]) ).
cnf(c15324_149,plain,
( ~ 'E'(s('0'),f(X3486))
| 'LE'(f(X3486),s('0')) ),
inference(resolution,status(thm),[c14179,c31]) ).
cnf(c15395_150,plain,
'LE'(f(X3487),s('0')),
inference(resolution,status(thm),[c15324,c10]) ).
cnf(c15425_151,plain,
( 'E'('0',f(suc(X3493)))
| 'LE'(f(X3493),'0') ),
inference(resolution,status(thm),[c15395,clause_123]) ).
cnf(c15465_152,plain,
'E'('0',f(suc(z))),
inference(resolution,status(thm),[c15425,clause_98]) ).
cnf(c15488,plain,
( ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c15465,clause_12]) ).
cnf(c15554,plain,
iLEQ(suc(z),suc(z)),
inference(resolution,status(thm),[c15488,c14219]) ).
cnf(c15565,plain,
~ 'E'('0',f(z)),
inference(resolution,status(thm),[c15554,c15487]) ).
cnf(c15638,plain,
$false,
inference(resolution,status(thm),[c15565,c14219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO666-1 : TPTP v7.5.0. Released v7.3.0.
% 0.10/0.12 % Command : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % RAMPerCPU : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Mar 14 16:15:55 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.46 # Using default include path : /export/starexec/sandbox2/benchmark
% 0.18/0.47 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox2/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.18/0.47 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.18/0.50 # hasConjecture: false isFOF: false
% 0.18/0.51 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.18/0.51 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 184.08/171.59 # -----------------
% 184.08/171.59 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 184.08/171.59
% 184.08/171.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(c13,plain,'E'(s('0'),f(X14))|'E'('0',f(X14))|'LE'(f(X14),'0'),inference(resolution, status(thm), [c10, clause_42])).
% 184.08/171.59 cnf(c17,plain,'E'(s('0'),f(z))|'E'('0',f(z)),inference(resolution, status(thm), [c13, clause_98])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(clause_70,axiom,~'E'(s('0'),f(X11))|~'E'(s('0'),f(suc(X11)))|iLEQ(suc(X11),suc(X11)),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(c19,plain,'LE'(f(X18),s('0'))|~'E'(s('0'),f(X18))|iLEQ(suc(X18),suc(X18)),inference(resolution, status(thm), [c18, clause_70])).
% 184.08/171.59 cnf(c31,plain,'LE'(f(X19),s('0'))|iLEQ(suc(X19),suc(X19)),inference(resolution, status(thm), [c19, c10])).
% 184.08/171.59 cnf(c34,plain,iLEQ(suc(X26),suc(X26))|'E'('0',f(X26))|'LE'(f(X26),'0'),inference(resolution, status(thm), [c31, clause_42])).
% 184.08/171.59 cnf(c52,plain,iLEQ(suc(z),suc(z))|'E'('0',f(z)),inference(resolution, status(thm), [c34, clause_98])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(c21,plain,'E'(s('0'),f(suc(X17)))|'E'('0',f(X17))|'LE'(f(X17),'0'),inference(resolution, status(thm), [c18, clause_42])).
% 184.08/171.59 cnf(c25,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(z)),inference(resolution, status(thm), [c21, clause_98])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(c21,plain,'E'(s('0'),f(suc(X17)))|'E'('0',f(X17))|'LE'(f(X17),'0'),inference(resolution, status(thm), [c18, clause_42])).
% 184.08/171.59 cnf(c25,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(z)),inference(resolution, status(thm), [c21, clause_98])).
% 184.08/171.59 cnf(clause_12,axiom,~'E'('0',f(X3))|~'E'('0',f(suc(X3)))|iLEQ(suc(X3),suc(X3)),input).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_123,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(c12,plain,'E'(s('0'),f(suc(X27)))|'E'('0',f(suc(X27)))|'LE'(f(X27),'0'),inference(resolution, status(thm), [c10, clause_123])).
% 184.08/171.59 cnf(c58,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(suc(z))),inference(resolution, status(thm), [c12, clause_98])).
% 184.08/171.59 cnf(c63,plain,'E'(s('0'),f(suc(z)))|~'E'('0',f(z))|iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c58, clause_12])).
% 184.08/171.59 cnf(c111,plain,'E'(s('0'),f(suc(z)))|iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c63, c25])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_123,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(c12,plain,'E'(s('0'),f(suc(X27)))|'E'('0',f(suc(X27)))|'LE'(f(X27),'0'),inference(resolution, status(thm), [c10, clause_123])).
% 184.08/171.59 cnf(c58,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(suc(z))),inference(resolution, status(thm), [c12, clause_98])).
% 184.08/171.59 cnf(clause_102,axiom,~iLEQ(suc(X5),suc(X6))|~'E'('0',f(suc(X7)))|~'E'('0',f(suc(X5)))|~iLEQ(suc(X6),suc(X8))|~'E'('0',f(suc(X6)))|~'E'('0',f(X7))|~'E'('0',f(suc(X9)))|~'E'('0',f(X6))|~iLEQ(suc(X10),suc(X5))|~'E'('0',f(X5))|~iLEQ(suc(X9),suc(X10))|~'E'('0',f(suc(X8)))|~'E'('0',f(X9))|~iLEQ(suc(X7),suc(X9))|~'E'('0',f(suc(X10)))|~'E'('0',f(X8))|~'E'('0',f(X10)),input).
% 184.08/171.59 cnf(c0,plain,~iLEQ(suc(X29),suc(X30))|~'E'('0',f(suc(X31)))|~'E'('0',f(suc(X29)))|~iLEQ(suc(X30),suc(X32))|~'E'('0',f(suc(X30)))|~'E'('0',f(X31))|~'E'('0',f(suc(X33)))|~'E'('0',f(X30))|~iLEQ(suc(X31),suc(X29))|~'E'('0',f(X29))|~iLEQ(suc(X33),suc(X31))|~'E'('0',f(suc(X32)))|~'E'('0',f(X33))|~iLEQ(suc(X31),suc(X33))|~'E'('0',f(X32)),inference(factor, status(thm), [clause_102])).
% 184.08/171.59 cnf(c73,plain,~iLEQ(suc(X280),suc(X281))|~'E'('0',f(suc(X281)))|~'E'('0',f(suc(X280)))|~iLEQ(suc(X281),suc(X282))|~'E'('0',f(X281))|~'E'('0',f(suc(X282)))|~iLEQ(suc(X281),suc(X280))|~'E'('0',f(X280))|~iLEQ(suc(X282),suc(X281))|~'E'('0',f(X282)),inference(factor, status(thm), [c0])).
% 184.08/171.59 cnf(c1352,plain,~iLEQ(suc(X283),suc(X283))|~'E'('0',f(suc(X283)))|~'E'('0',f(X283)),inference(factor, status(thm), [c73])).
% 184.08/171.59 cnf(c1401,plain,~iLEQ(suc(z),suc(z))|~'E'('0',f(z))|'E'(s('0'),f(suc(z))),inference(resolution, status(thm), [c1352, c58])).
% 184.08/171.59 cnf(c1407,plain,~'E'('0',f(z))|'E'(s('0'),f(suc(z))),inference(resolution, status(thm), [c1401, c111])).
% 184.08/171.59 cnf(c1417,plain,'E'(s('0'),f(suc(z))),inference(resolution, status(thm), [c1407, c25])).
% 184.08/171.59 cnf(clause_179,axiom,~'E'(s('0'),f(X20))|~iLEQ(suc(X21),suc(X22))|~'E'(s('0'),f(X23))|~'E'(s('0'),f(suc(X23)))|~iLEQ(suc(X24),suc(X21))|~'E'(s('0'),f(X21))|~'E'(s('0'),f(suc(X21)))|~iLEQ(suc(X20),suc(X24))|~'E'(s('0'),f(suc(X20)))|~iLEQ(suc(X22),suc(X25))|~'E'(s('0'),f(suc(X24)))|~'E'(s('0'),f(X25))|~'E'(s('0'),f(suc(X22)))|~iLEQ(suc(X23),suc(X20))|~'E'(s('0'),f(X24))|~'E'(s('0'),f(X22))|~'E'(s('0'),f(suc(X25))),input).
% 184.08/171.59 cnf(c39,plain,~'E'(s('0'),f(X152))|~iLEQ(suc(X153),suc(X154))|~'E'(s('0'),f(X155))|~'E'(s('0'),f(suc(X155)))|~iLEQ(suc(X156),suc(X153))|~'E'(s('0'),f(X153))|~'E'(s('0'),f(suc(X153)))|~iLEQ(suc(X152),suc(X156))|~'E'(s('0'),f(suc(X152)))|~iLEQ(suc(X154),suc(X153))|~'E'(s('0'),f(suc(X156)))|~'E'(s('0'),f(suc(X154)))|~iLEQ(suc(X155),suc(X152))|~'E'(s('0'),f(X156))|~'E'(s('0'),f(X154)),inference(factor, status(thm), [clause_179])).
% 184.08/171.59 cnf(c583,plain,~'E'(s('0'),f(X2336))|~iLEQ(suc(X2337),suc(X2337))|~'E'(s('0'),f(X2338))|~'E'(s('0'),f(suc(X2338)))|~iLEQ(suc(X2339),suc(X2337))|~'E'(s('0'),f(X2337))|~'E'(s('0'),f(suc(X2337)))|~iLEQ(suc(X2336),suc(X2339))|~'E'(s('0'),f(suc(X2336)))|~'E'(s('0'),f(suc(X2339)))|~iLEQ(suc(X2338),suc(X2336))|~'E'(s('0'),f(X2339)),inference(factor, status(thm), [c39])).
% 184.08/171.59 cnf(c9498,plain,~'E'(s('0'),f(X3396))|~iLEQ(suc(X3397),suc(X3397))|~'E'(s('0'),f(X3398))|~'E'(s('0'),f(suc(X3398)))|~'E'(s('0'),f(X3397))|~'E'(s('0'),f(suc(X3397)))|~iLEQ(suc(X3396),suc(X3397))|~'E'(s('0'),f(suc(X3396)))|~iLEQ(suc(X3398),suc(X3396)),inference(factor, status(thm), [c583])).
% 184.08/171.59 cnf(c14065,plain,~'E'(s('0'),f(X3403))|~iLEQ(suc(X3403),suc(X3403))|~'E'(s('0'),f(X3404))|~'E'(s('0'),f(suc(X3404)))|~'E'(s('0'),f(suc(X3403)))|~iLEQ(suc(X3404),suc(X3403)),inference(factor, status(thm), [c9498])).
% 184.08/171.59 cnf(c14127,plain,~'E'(s('0'),f(X3405))|~iLEQ(suc(X3405),suc(X3405))|~'E'(s('0'),f(suc(X3405))),inference(factor, status(thm), [c14065])).
% 184.08/171.59 cnf(c14169,plain,~'E'(s('0'),f(z))|~iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c14127, c1417])).
% 184.08/171.59 cnf(c14212,plain,~'E'(s('0'),f(z))|'E'('0',f(z)),inference(resolution, status(thm), [c14169, c52])).
% 184.08/171.59 cnf(c14219,plain,'E'('0',f(z)),inference(resolution, status(thm), [c14212, c17])).
% 184.08/171.59 cnf(clause_102,axiom,~iLEQ(suc(X5),suc(X6))|~'E'('0',f(suc(X7)))|~'E'('0',f(suc(X5)))|~iLEQ(suc(X6),suc(X8))|~'E'('0',f(suc(X6)))|~'E'('0',f(X7))|~'E'('0',f(suc(X9)))|~'E'('0',f(X6))|~iLEQ(suc(X10),suc(X5))|~'E'('0',f(X5))|~iLEQ(suc(X9),suc(X10))|~'E'('0',f(suc(X8)))|~'E'('0',f(X9))|~iLEQ(suc(X7),suc(X9))|~'E'('0',f(suc(X10)))|~'E'('0',f(X8))|~'E'('0',f(X10)),input).
% 184.08/171.59 cnf(c0,plain,~iLEQ(suc(X29),suc(X30))|~'E'('0',f(suc(X31)))|~'E'('0',f(suc(X29)))|~iLEQ(suc(X30),suc(X32))|~'E'('0',f(suc(X30)))|~'E'('0',f(X31))|~'E'('0',f(suc(X33)))|~'E'('0',f(X30))|~iLEQ(suc(X31),suc(X29))|~'E'('0',f(X29))|~iLEQ(suc(X33),suc(X31))|~'E'('0',f(suc(X32)))|~'E'('0',f(X33))|~iLEQ(suc(X31),suc(X33))|~'E'('0',f(X32)),inference(factor, status(thm), [clause_102])).
% 184.08/171.59 cnf(c73,plain,~iLEQ(suc(X280),suc(X281))|~'E'('0',f(suc(X281)))|~'E'('0',f(suc(X280)))|~iLEQ(suc(X281),suc(X282))|~'E'('0',f(X281))|~'E'('0',f(suc(X282)))|~iLEQ(suc(X281),suc(X280))|~'E'('0',f(X280))|~iLEQ(suc(X282),suc(X281))|~'E'('0',f(X282)),inference(factor, status(thm), [c0])).
% 184.08/171.59 cnf(c1352,plain,~iLEQ(suc(X283),suc(X283))|~'E'('0',f(suc(X283)))|~'E'('0',f(X283)),inference(factor, status(thm), [c73])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_123,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(clause_70,axiom,~'E'(s('0'),f(X11))|~'E'(s('0'),f(suc(X11)))|iLEQ(suc(X11),suc(X11)),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(c19,plain,'LE'(f(X18),s('0'))|~'E'(s('0'),f(X18))|iLEQ(suc(X18),suc(X18)),inference(resolution, status(thm), [c18, clause_70])).
% 184.08/171.59 cnf(c31,plain,'LE'(f(X19),s('0'))|iLEQ(suc(X19),suc(X19)),inference(resolution, status(thm), [c19, c10])).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(clause_179,axiom,~'E'(s('0'),f(X20))|~iLEQ(suc(X21),suc(X22))|~'E'(s('0'),f(X23))|~'E'(s('0'),f(suc(X23)))|~iLEQ(suc(X24),suc(X21))|~'E'(s('0'),f(X21))|~'E'(s('0'),f(suc(X21)))|~iLEQ(suc(X20),suc(X24))|~'E'(s('0'),f(suc(X20)))|~iLEQ(suc(X22),suc(X25))|~'E'(s('0'),f(suc(X24)))|~'E'(s('0'),f(X25))|~'E'(s('0'),f(suc(X22)))|~iLEQ(suc(X23),suc(X20))|~'E'(s('0'),f(X24))|~'E'(s('0'),f(X22))|~'E'(s('0'),f(suc(X25))),input).
% 184.08/171.59 cnf(c39,plain,~'E'(s('0'),f(X152))|~iLEQ(suc(X153),suc(X154))|~'E'(s('0'),f(X155))|~'E'(s('0'),f(suc(X155)))|~iLEQ(suc(X156),suc(X153))|~'E'(s('0'),f(X153))|~'E'(s('0'),f(suc(X153)))|~iLEQ(suc(X152),suc(X156))|~'E'(s('0'),f(suc(X152)))|~iLEQ(suc(X154),suc(X153))|~'E'(s('0'),f(suc(X156)))|~'E'(s('0'),f(suc(X154)))|~iLEQ(suc(X155),suc(X152))|~'E'(s('0'),f(X156))|~'E'(s('0'),f(X154)),inference(factor, status(thm), [clause_179])).
% 184.08/171.59 cnf(c583,plain,~'E'(s('0'),f(X2336))|~iLEQ(suc(X2337),suc(X2337))|~'E'(s('0'),f(X2338))|~'E'(s('0'),f(suc(X2338)))|~iLEQ(suc(X2339),suc(X2337))|~'E'(s('0'),f(X2337))|~'E'(s('0'),f(suc(X2337)))|~iLEQ(suc(X2336),suc(X2339))|~'E'(s('0'),f(suc(X2336)))|~'E'(s('0'),f(suc(X2339)))|~iLEQ(suc(X2338),suc(X2336))|~'E'(s('0'),f(X2339)),inference(factor, status(thm), [c39])).
% 184.08/171.59 cnf(c9498,plain,~'E'(s('0'),f(X3396))|~iLEQ(suc(X3397),suc(X3397))|~'E'(s('0'),f(X3398))|~'E'(s('0'),f(suc(X3398)))|~'E'(s('0'),f(X3397))|~'E'(s('0'),f(suc(X3397)))|~iLEQ(suc(X3396),suc(X3397))|~'E'(s('0'),f(suc(X3396)))|~iLEQ(suc(X3398),suc(X3396)),inference(factor, status(thm), [c583])).
% 184.08/171.59 cnf(c14065,plain,~'E'(s('0'),f(X3403))|~iLEQ(suc(X3403),suc(X3403))|~'E'(s('0'),f(X3404))|~'E'(s('0'),f(suc(X3404)))|~'E'(s('0'),f(suc(X3403)))|~iLEQ(suc(X3404),suc(X3403)),inference(factor, status(thm), [c9498])).
% 184.08/171.59 cnf(c14127,plain,~'E'(s('0'),f(X3405))|~iLEQ(suc(X3405),suc(X3405))|~'E'(s('0'),f(suc(X3405))),inference(factor, status(thm), [c14065])).
% 184.08/171.59 cnf(c14179,plain,~'E'(s('0'),f(X3485))|~iLEQ(suc(X3485),suc(X3485))|'LE'(f(X3485),s('0')),inference(resolution, status(thm), [c14127, c18])).
% 184.08/171.59 cnf(c15324,plain,~'E'(s('0'),f(X3486))|'LE'(f(X3486),s('0')),inference(resolution, status(thm), [c14179, c31])).
% 184.08/171.59 cnf(c15395,plain,'LE'(f(X3487),s('0')),inference(resolution, status(thm), [c15324, c10])).
% 184.08/171.59 cnf(c15425,plain,'E'('0',f(suc(X3493)))|'LE'(f(X3493),'0'),inference(resolution, status(thm), [c15395, clause_123])).
% 184.08/171.59 cnf(c15465,plain,'E'('0',f(suc(z))),inference(resolution, status(thm), [c15425, clause_98])).
% 184.08/171.59 cnf(c15487,plain,~iLEQ(suc(z),suc(z))|~'E'('0',f(z)),inference(resolution, status(thm), [c15465, c1352])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(c13,plain,'E'(s('0'),f(X14))|'E'('0',f(X14))|'LE'(f(X14),'0'),inference(resolution, status(thm), [c10, clause_42])).
% 184.08/171.59 cnf(c17,plain,'E'(s('0'),f(z))|'E'('0',f(z)),inference(resolution, status(thm), [c13, clause_98])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.59 cnf(clause_70,axiom,~'E'(s('0'),f(X11))|~'E'(s('0'),f(suc(X11)))|iLEQ(suc(X11),suc(X11)),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(c19,plain,'LE'(f(X18),s('0'))|~'E'(s('0'),f(X18))|iLEQ(suc(X18),suc(X18)),inference(resolution, status(thm), [c18, clause_70])).
% 184.08/171.59 cnf(c31,plain,'LE'(f(X19),s('0'))|iLEQ(suc(X19),suc(X19)),inference(resolution, status(thm), [c19, c10])).
% 184.08/171.59 cnf(c34,plain,iLEQ(suc(X26),suc(X26))|'E'('0',f(X26))|'LE'(f(X26),'0'),inference(resolution, status(thm), [c31, clause_42])).
% 184.08/171.59 cnf(c52,plain,iLEQ(suc(z),suc(z))|'E'('0',f(z)),inference(resolution, status(thm), [c34, clause_98])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(c21,plain,'E'(s('0'),f(suc(X17)))|'E'('0',f(X17))|'LE'(f(X17),'0'),inference(resolution, status(thm), [c18, clause_42])).
% 184.08/171.59 cnf(c25,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(z)),inference(resolution, status(thm), [c21, clause_98])).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_42,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.59 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.59 cnf(c21,plain,'E'(s('0'),f(suc(X17)))|'E'('0',f(X17))|'LE'(f(X17),'0'),inference(resolution, status(thm), [c18, clause_42])).
% 184.08/171.59 cnf(c25,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(z)),inference(resolution, status(thm), [c21, clause_98])).
% 184.08/171.59 cnf(clause_12,axiom,~'E'('0',f(X3))|~'E'('0',f(suc(X3)))|iLEQ(suc(X3),suc(X3)),input).
% 184.08/171.59 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.59 cnf(clause_123,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 184.08/171.59 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.59 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.59 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.60 cnf(c12,plain,'E'(s('0'),f(suc(X27)))|'E'('0',f(suc(X27)))|'LE'(f(X27),'0'),inference(resolution, status(thm), [c10, clause_123])).
% 184.08/171.60 cnf(c58,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(suc(z))),inference(resolution, status(thm), [c12, clause_98])).
% 184.08/171.60 cnf(c63,plain,'E'(s('0'),f(suc(z)))|~'E'('0',f(z))|iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c58, clause_12])).
% 184.08/171.60 cnf(c111,plain,'E'(s('0'),f(suc(z)))|iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c63, c25])).
% 184.08/171.60 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.60 cnf(clause_123,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 184.08/171.60 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.60 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.60 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.60 cnf(c12,plain,'E'(s('0'),f(suc(X27)))|'E'('0',f(suc(X27)))|'LE'(f(X27),'0'),inference(resolution, status(thm), [c10, clause_123])).
% 184.08/171.60 cnf(c58,plain,'E'(s('0'),f(suc(z)))|'E'('0',f(suc(z))),inference(resolution, status(thm), [c12, clause_98])).
% 184.08/171.60 cnf(clause_102,axiom,~iLEQ(suc(X5),suc(X6))|~'E'('0',f(suc(X7)))|~'E'('0',f(suc(X5)))|~iLEQ(suc(X6),suc(X8))|~'E'('0',f(suc(X6)))|~'E'('0',f(X7))|~'E'('0',f(suc(X9)))|~'E'('0',f(X6))|~iLEQ(suc(X10),suc(X5))|~'E'('0',f(X5))|~iLEQ(suc(X9),suc(X10))|~'E'('0',f(suc(X8)))|~'E'('0',f(X9))|~iLEQ(suc(X7),suc(X9))|~'E'('0',f(suc(X10)))|~'E'('0',f(X8))|~'E'('0',f(X10)),input).
% 184.08/171.60 cnf(c0,plain,~iLEQ(suc(X29),suc(X30))|~'E'('0',f(suc(X31)))|~'E'('0',f(suc(X29)))|~iLEQ(suc(X30),suc(X32))|~'E'('0',f(suc(X30)))|~'E'('0',f(X31))|~'E'('0',f(suc(X33)))|~'E'('0',f(X30))|~iLEQ(suc(X31),suc(X29))|~'E'('0',f(X29))|~iLEQ(suc(X33),suc(X31))|~'E'('0',f(suc(X32)))|~'E'('0',f(X33))|~iLEQ(suc(X31),suc(X33))|~'E'('0',f(X32)),inference(factor, status(thm), [clause_102])).
% 184.08/171.60 cnf(c73,plain,~iLEQ(suc(X280),suc(X281))|~'E'('0',f(suc(X281)))|~'E'('0',f(suc(X280)))|~iLEQ(suc(X281),suc(X282))|~'E'('0',f(X281))|~'E'('0',f(suc(X282)))|~iLEQ(suc(X281),suc(X280))|~'E'('0',f(X280))|~iLEQ(suc(X282),suc(X281))|~'E'('0',f(X282)),inference(factor, status(thm), [c0])).
% 184.08/171.60 cnf(c1352,plain,~iLEQ(suc(X283),suc(X283))|~'E'('0',f(suc(X283)))|~'E'('0',f(X283)),inference(factor, status(thm), [c73])).
% 184.08/171.60 cnf(c1401,plain,~iLEQ(suc(z),suc(z))|~'E'('0',f(z))|'E'(s('0'),f(suc(z))),inference(resolution, status(thm), [c1352, c58])).
% 184.08/171.60 cnf(c1407,plain,~'E'('0',f(z))|'E'(s('0'),f(suc(z))),inference(resolution, status(thm), [c1401, c111])).
% 184.08/171.60 cnf(c1417,plain,'E'(s('0'),f(suc(z))),inference(resolution, status(thm), [c1407, c25])).
% 184.08/171.60 cnf(clause_179,axiom,~'E'(s('0'),f(X20))|~iLEQ(suc(X21),suc(X22))|~'E'(s('0'),f(X23))|~'E'(s('0'),f(suc(X23)))|~iLEQ(suc(X24),suc(X21))|~'E'(s('0'),f(X21))|~'E'(s('0'),f(suc(X21)))|~iLEQ(suc(X20),suc(X24))|~'E'(s('0'),f(suc(X20)))|~iLEQ(suc(X22),suc(X25))|~'E'(s('0'),f(suc(X24)))|~'E'(s('0'),f(X25))|~'E'(s('0'),f(suc(X22)))|~iLEQ(suc(X23),suc(X20))|~'E'(s('0'),f(X24))|~'E'(s('0'),f(X22))|~'E'(s('0'),f(suc(X25))),input).
% 184.08/171.60 cnf(c39,plain,~'E'(s('0'),f(X152))|~iLEQ(suc(X153),suc(X154))|~'E'(s('0'),f(X155))|~'E'(s('0'),f(suc(X155)))|~iLEQ(suc(X156),suc(X153))|~'E'(s('0'),f(X153))|~'E'(s('0'),f(suc(X153)))|~iLEQ(suc(X152),suc(X156))|~'E'(s('0'),f(suc(X152)))|~iLEQ(suc(X154),suc(X153))|~'E'(s('0'),f(suc(X156)))|~'E'(s('0'),f(suc(X154)))|~iLEQ(suc(X155),suc(X152))|~'E'(s('0'),f(X156))|~'E'(s('0'),f(X154)),inference(factor, status(thm), [clause_179])).
% 184.08/171.60 cnf(c583,plain,~'E'(s('0'),f(X2336))|~iLEQ(suc(X2337),suc(X2337))|~'E'(s('0'),f(X2338))|~'E'(s('0'),f(suc(X2338)))|~iLEQ(suc(X2339),suc(X2337))|~'E'(s('0'),f(X2337))|~'E'(s('0'),f(suc(X2337)))|~iLEQ(suc(X2336),suc(X2339))|~'E'(s('0'),f(suc(X2336)))|~'E'(s('0'),f(suc(X2339)))|~iLEQ(suc(X2338),suc(X2336))|~'E'(s('0'),f(X2339)),inference(factor, status(thm), [c39])).
% 184.08/171.60 cnf(c9498,plain,~'E'(s('0'),f(X3396))|~iLEQ(suc(X3397),suc(X3397))|~'E'(s('0'),f(X3398))|~'E'(s('0'),f(suc(X3398)))|~'E'(s('0'),f(X3397))|~'E'(s('0'),f(suc(X3397)))|~iLEQ(suc(X3396),suc(X3397))|~'E'(s('0'),f(suc(X3396)))|~iLEQ(suc(X3398),suc(X3396)),inference(factor, status(thm), [c583])).
% 184.08/171.60 cnf(c14065,plain,~'E'(s('0'),f(X3403))|~iLEQ(suc(X3403),suc(X3403))|~'E'(s('0'),f(X3404))|~'E'(s('0'),f(suc(X3404)))|~'E'(s('0'),f(suc(X3403)))|~iLEQ(suc(X3404),suc(X3403)),inference(factor, status(thm), [c9498])).
% 184.08/171.60 cnf(c14127,plain,~'E'(s('0'),f(X3405))|~iLEQ(suc(X3405),suc(X3405))|~'E'(s('0'),f(suc(X3405))),inference(factor, status(thm), [c14065])).
% 184.08/171.60 cnf(c14169,plain,~'E'(s('0'),f(z))|~iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c14127, c1417])).
% 184.08/171.60 cnf(c14212,plain,~'E'(s('0'),f(z))|'E'('0',f(z)),inference(resolution, status(thm), [c14169, c52])).
% 184.08/171.60 cnf(c14219,plain,'E'('0',f(z)),inference(resolution, status(thm), [c14212, c17])).
% 184.08/171.60 cnf(clause_12,axiom,~'E'('0',f(X3))|~'E'('0',f(suc(X3)))|iLEQ(suc(X3),suc(X3)),input).
% 184.08/171.60 cnf(clause_98,axiom,~'LE'(f(z),'0'),input).
% 184.08/171.60 cnf(clause_123,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 184.08/171.60 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.60 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.60 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.60 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.60 cnf(clause_185,axiom,~'LE'(f(X12),s(s('0')))|'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),input).
% 184.08/171.60 cnf(c10,plain,'E'(s('0'),f(X13))|'LE'(f(X13),s('0')),inference(resolution, status(thm), [clause_185, clause_83])).
% 184.08/171.60 cnf(clause_70,axiom,~'E'(s('0'),f(X11))|~'E'(s('0'),f(suc(X11)))|iLEQ(suc(X11),suc(X11)),input).
% 184.08/171.60 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.60 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.60 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.60 cnf(c19,plain,'LE'(f(X18),s('0'))|~'E'(s('0'),f(X18))|iLEQ(suc(X18),suc(X18)),inference(resolution, status(thm), [c18, clause_70])).
% 184.08/171.60 cnf(c31,plain,'LE'(f(X19),s('0'))|iLEQ(suc(X19),suc(X19)),inference(resolution, status(thm), [c19, c10])).
% 184.08/171.60 cnf(clause_83,axiom,'LE'(f(X1),s(s('0'))),input).
% 184.08/171.60 cnf(clause_29,axiom,~'LE'(f(suc(X15)),s(s('0')))|'E'(s('0'),f(suc(X15)))|'LE'(f(X15),s('0')),input).
% 184.08/171.60 cnf(c18,plain,'E'(s('0'),f(suc(X16)))|'LE'(f(X16),s('0')),inference(resolution, status(thm), [clause_29, clause_83])).
% 184.08/171.60 cnf(clause_179,axiom,~'E'(s('0'),f(X20))|~iLEQ(suc(X21),suc(X22))|~'E'(s('0'),f(X23))|~'E'(s('0'),f(suc(X23)))|~iLEQ(suc(X24),suc(X21))|~'E'(s('0'),f(X21))|~'E'(s('0'),f(suc(X21)))|~iLEQ(suc(X20),suc(X24))|~'E'(s('0'),f(suc(X20)))|~iLEQ(suc(X22),suc(X25))|~'E'(s('0'),f(suc(X24)))|~'E'(s('0'),f(X25))|~'E'(s('0'),f(suc(X22)))|~iLEQ(suc(X23),suc(X20))|~'E'(s('0'),f(X24))|~'E'(s('0'),f(X22))|~'E'(s('0'),f(suc(X25))),input).
% 184.08/171.60 cnf(c39,plain,~'E'(s('0'),f(X152))|~iLEQ(suc(X153),suc(X154))|~'E'(s('0'),f(X155))|~'E'(s('0'),f(suc(X155)))|~iLEQ(suc(X156),suc(X153))|~'E'(s('0'),f(X153))|~'E'(s('0'),f(suc(X153)))|~iLEQ(suc(X152),suc(X156))|~'E'(s('0'),f(suc(X152)))|~iLEQ(suc(X154),suc(X153))|~'E'(s('0'),f(suc(X156)))|~'E'(s('0'),f(suc(X154)))|~iLEQ(suc(X155),suc(X152))|~'E'(s('0'),f(X156))|~'E'(s('0'),f(X154)),inference(factor, status(thm), [clause_179])).
% 184.08/171.60 cnf(c583,plain,~'E'(s('0'),f(X2336))|~iLEQ(suc(X2337),suc(X2337))|~'E'(s('0'),f(X2338))|~'E'(s('0'),f(suc(X2338)))|~iLEQ(suc(X2339),suc(X2337))|~'E'(s('0'),f(X2337))|~'E'(s('0'),f(suc(X2337)))|~iLEQ(suc(X2336),suc(X2339))|~'E'(s('0'),f(suc(X2336)))|~'E'(s('0'),f(suc(X2339)))|~iLEQ(suc(X2338),suc(X2336))|~'E'(s('0'),f(X2339)),inference(factor, status(thm), [c39])).
% 184.08/171.60 cnf(c9498,plain,~'E'(s('0'),f(X3396))|~iLEQ(suc(X3397),suc(X3397))|~'E'(s('0'),f(X3398))|~'E'(s('0'),f(suc(X3398)))|~'E'(s('0'),f(X3397))|~'E'(s('0'),f(suc(X3397)))|~iLEQ(suc(X3396),suc(X3397))|~'E'(s('0'),f(suc(X3396)))|~iLEQ(suc(X3398),suc(X3396)),inference(factor, status(thm), [c583])).
% 184.08/171.60 cnf(c14065,plain,~'E'(s('0'),f(X3403))|~iLEQ(suc(X3403),suc(X3403))|~'E'(s('0'),f(X3404))|~'E'(s('0'),f(suc(X3404)))|~'E'(s('0'),f(suc(X3403)))|~iLEQ(suc(X3404),suc(X3403)),inference(factor, status(thm), [c9498])).
% 184.08/171.60 cnf(c14127,plain,~'E'(s('0'),f(X3405))|~iLEQ(suc(X3405),suc(X3405))|~'E'(s('0'),f(suc(X3405))),inference(factor, status(thm), [c14065])).
% 184.08/171.60 cnf(c14179,plain,~'E'(s('0'),f(X3485))|~iLEQ(suc(X3485),suc(X3485))|'LE'(f(X3485),s('0')),inference(resolution, status(thm), [c14127, c18])).
% 184.08/171.60 cnf(c15324,plain,~'E'(s('0'),f(X3486))|'LE'(f(X3486),s('0')),inference(resolution, status(thm), [c14179, c31])).
% 184.08/171.60 cnf(c15395,plain,'LE'(f(X3487),s('0')),inference(resolution, status(thm), [c15324, c10])).
% 184.08/171.60 cnf(c15425,plain,'E'('0',f(suc(X3493)))|'LE'(f(X3493),'0'),inference(resolution, status(thm), [c15395, clause_123])).
% 184.08/171.60 cnf(c15465,plain,'E'('0',f(suc(z))),inference(resolution, status(thm), [c15425, clause_98])).
% 184.08/171.60 cnf(c15488,plain,~'E'('0',f(z))|iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c15465, clause_12])).
% 184.08/171.60 cnf(c15554,plain,iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c15488, c14219])).
% 184.08/171.60 cnf(c15565,plain,~'E'('0',f(z)),inference(resolution, status(thm), [c15554, c15487])).
% 184.08/171.60 cnf(c15638,plain,$false,inference(resolution, status(thm), [c15565, c14219])).
% 184.08/171.60 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 184.08/171.60 # Filename : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 184.08/171.60 # Indexed : true
% 184.08/171.60 # Eval function name : PickGiven5
% 184.08/171.60 # Initial clauses : 10
% 184.08/171.60 # Processed clauses : 470
% 184.08/171.60 # Factors computed : 1245
% 184.08/171.60 # Resolvents computed: 14401
% 184.08/171.60 # Tautologies deleted: 215
% 184.08/171.60 # Forward subsumed : 2484
% 184.08/171.60 # Backward subsumed : 629
% 184.08/171.60 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 184.08/171.60 # SZS Expected : Unsatisfiable
% 184.08/171.60 # time : 171078ms
% 184.08/171.60
%------------------------------------------------------------------------------