TSTP Solution File: SYO664-1 by JavaRes---1.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYO664-1 : TPTP v7.5.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Mar 29 03:33:56 EDT 2022
% Result : Unsatisfiable 18.56s 13.09s
% Output : CNFRefutation 18.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_70,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_94,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_58,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_20,axiom,
( ~ 'LE'(f(X11),s(s('0')))
| 'E'(s('0'),f(X11))
| 'LE'(f(X11),s('0')) ),
input ).
cnf(c8,plain,
( 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
inference(resolution,status(thm),[clause_20,clause_58]) ).
cnf(clause_58_001,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_20_002,axiom,
( ~ 'LE'(f(X11),s(s('0')))
| 'E'(s('0'),f(X11))
| 'LE'(f(X11),s('0')) ),
input ).
cnf(c8_003,plain,
( 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
inference(resolution,status(thm),[clause_20,clause_58]) ).
cnf(clause_50,axiom,
( ~ 'E'(s('0'),f(X10))
| ~ 'E'(s('0'),f(suc(X10)))
| iLEQ(suc(X10),suc(X10)) ),
input ).
cnf(clause_58_004,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_83,axiom,
( ~ 'LE'(f(suc(X22)),s(s('0')))
| 'E'(s('0'),f(suc(X22)))
| 'LE'(f(X22),s('0')) ),
input ).
cnf(c47,plain,
( 'E'(s('0'),f(suc(X23)))
| 'LE'(f(X23),s('0')) ),
inference(resolution,status(thm),[clause_83,clause_58]) ).
cnf(c48,plain,
( 'LE'(f(X25),s('0'))
| ~ 'E'(s('0'),f(X25))
| iLEQ(suc(X25),suc(X25)) ),
inference(resolution,status(thm),[c47,clause_50]) ).
cnf(c66,plain,
( 'LE'(f(X26),s('0'))
| iLEQ(suc(X26),suc(X26)) ),
inference(resolution,status(thm),[c48,c8]) ).
cnf(clause_58_005,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_83_006,axiom,
( ~ 'LE'(f(suc(X22)),s(s('0')))
| 'E'(s('0'),f(suc(X22)))
| 'LE'(f(X22),s('0')) ),
input ).
cnf(c47_007,plain,
( 'E'(s('0'),f(suc(X23)))
| 'LE'(f(X23),s('0')) ),
inference(resolution,status(thm),[clause_83,clause_58]) ).
cnf(clause_37,axiom,
( ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ iLEQ(suc(X8),suc(X7))
| ~ 'E'(s('0'),f(X7))
| ~ iLEQ(suc(X9),suc(X5))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(X9))
| ~ iLEQ(suc(X5),suc(X6))
| ~ iLEQ(suc(X7),suc(X9))
| ~ 'E'(s('0'),f(suc(X9))) ),
input ).
cnf(c0,plain,
( ~ 'E'(s('0'),f(suc(X27)))
| ~ 'E'(s('0'),f(X27))
| ~ 'E'(s('0'),f(suc(X28)))
| ~ 'E'(s('0'),f(suc(X29)))
| ~ 'E'(s('0'),f(X30))
| ~ 'E'(s('0'),f(suc(X30)))
| ~ iLEQ(suc(X30),suc(X29))
| ~ 'E'(s('0'),f(X29))
| ~ iLEQ(suc(X27),suc(X27))
| ~ 'E'(s('0'),f(X28))
| ~ iLEQ(suc(X27),suc(X28))
| ~ iLEQ(suc(X29),suc(X27)) ),
inference(factor,status(thm),[clause_37]) ).
cnf(c72,plain,
( ~ 'E'(s('0'),f(suc(X206)))
| ~ 'E'(s('0'),f(X206))
| ~ 'E'(s('0'),f(suc(X207)))
| ~ 'E'(s('0'),f(suc(X208)))
| ~ iLEQ(suc(X206),suc(X208))
| ~ 'E'(s('0'),f(X208))
| ~ iLEQ(suc(X206),suc(X206))
| ~ 'E'(s('0'),f(X207))
| ~ iLEQ(suc(X206),suc(X207))
| ~ iLEQ(suc(X208),suc(X206)) ),
inference(factor,status(thm),[c0]) ).
cnf(c886,plain,
( ~ 'E'(s('0'),f(suc(X408)))
| ~ 'E'(s('0'),f(X408))
| ~ 'E'(s('0'),f(suc(X409)))
| ~ iLEQ(suc(X408),suc(X408))
| ~ 'E'(s('0'),f(X409))
| ~ iLEQ(suc(X408),suc(X409)) ),
inference(factor,status(thm),[c72]) ).
cnf(c2231,plain,
( ~ 'E'(s('0'),f(suc(X410)))
| ~ 'E'(s('0'),f(X410))
| ~ iLEQ(suc(X410),suc(X410)) ),
inference(factor,status(thm),[c886]) ).
cnf(c2253,plain,
( ~ 'E'(s('0'),f(X411))
| ~ iLEQ(suc(X411),suc(X411))
| 'LE'(f(X411),s('0')) ),
inference(resolution,status(thm),[c2231,c47]) ).
cnf(c2307,plain,
( ~ 'E'(s('0'),f(X412))
| 'LE'(f(X412),s('0')) ),
inference(resolution,status(thm),[c2253,c66]) ).
cnf(c2323,plain,
'LE'(f(X413),s('0')),
inference(resolution,status(thm),[c2307,c8]) ).
cnf(c2338,plain,
( 'E'('0',f(X418))
| 'LE'(f(X418),'0') ),
inference(resolution,status(thm),[c2323,clause_94]) ).
cnf(c2396,plain,
'E'('0',f(z)),
inference(resolution,status(thm),[c2338,clause_70]) ).
cnf(clause_70_008,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_117,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_58_009,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_20_010,axiom,
( ~ 'LE'(f(X11),s(s('0')))
| 'E'(s('0'),f(X11))
| 'LE'(f(X11),s('0')) ),
input ).
cnf(c8_011,plain,
( 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
inference(resolution,status(thm),[clause_20,clause_58]) ).
cnf(clause_58_012,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_20_013,axiom,
( ~ 'LE'(f(X11),s(s('0')))
| 'E'(s('0'),f(X11))
| 'LE'(f(X11),s('0')) ),
input ).
cnf(c8_014,plain,
( 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
inference(resolution,status(thm),[clause_20,clause_58]) ).
cnf(clause_50_015,axiom,
( ~ 'E'(s('0'),f(X10))
| ~ 'E'(s('0'),f(suc(X10)))
| iLEQ(suc(X10),suc(X10)) ),
input ).
cnf(clause_58_016,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_83_017,axiom,
( ~ 'LE'(f(suc(X22)),s(s('0')))
| 'E'(s('0'),f(suc(X22)))
| 'LE'(f(X22),s('0')) ),
input ).
cnf(c47_018,plain,
( 'E'(s('0'),f(suc(X23)))
| 'LE'(f(X23),s('0')) ),
inference(resolution,status(thm),[clause_83,clause_58]) ).
cnf(c48_019,plain,
( 'LE'(f(X25),s('0'))
| ~ 'E'(s('0'),f(X25))
| iLEQ(suc(X25),suc(X25)) ),
inference(resolution,status(thm),[c47,clause_50]) ).
cnf(c66_020,plain,
( 'LE'(f(X26),s('0'))
| iLEQ(suc(X26),suc(X26)) ),
inference(resolution,status(thm),[c48,c8]) ).
cnf(clause_58_021,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_83_022,axiom,
( ~ 'LE'(f(suc(X22)),s(s('0')))
| 'E'(s('0'),f(suc(X22)))
| 'LE'(f(X22),s('0')) ),
input ).
cnf(c47_023,plain,
( 'E'(s('0'),f(suc(X23)))
| 'LE'(f(X23),s('0')) ),
inference(resolution,status(thm),[clause_83,clause_58]) ).
cnf(clause_37_024,axiom,
( ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ iLEQ(suc(X8),suc(X7))
| ~ 'E'(s('0'),f(X7))
| ~ iLEQ(suc(X9),suc(X5))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(X9))
| ~ iLEQ(suc(X5),suc(X6))
| ~ iLEQ(suc(X7),suc(X9))
| ~ 'E'(s('0'),f(suc(X9))) ),
input ).
cnf(c0_025,plain,
( ~ 'E'(s('0'),f(suc(X27)))
| ~ 'E'(s('0'),f(X27))
| ~ 'E'(s('0'),f(suc(X28)))
| ~ 'E'(s('0'),f(suc(X29)))
| ~ 'E'(s('0'),f(X30))
| ~ 'E'(s('0'),f(suc(X30)))
| ~ iLEQ(suc(X30),suc(X29))
| ~ 'E'(s('0'),f(X29))
| ~ iLEQ(suc(X27),suc(X27))
| ~ 'E'(s('0'),f(X28))
| ~ iLEQ(suc(X27),suc(X28))
| ~ iLEQ(suc(X29),suc(X27)) ),
inference(factor,status(thm),[clause_37]) ).
cnf(c72_026,plain,
( ~ 'E'(s('0'),f(suc(X206)))
| ~ 'E'(s('0'),f(X206))
| ~ 'E'(s('0'),f(suc(X207)))
| ~ 'E'(s('0'),f(suc(X208)))
| ~ iLEQ(suc(X206),suc(X208))
| ~ 'E'(s('0'),f(X208))
| ~ iLEQ(suc(X206),suc(X206))
| ~ 'E'(s('0'),f(X207))
| ~ iLEQ(suc(X206),suc(X207))
| ~ iLEQ(suc(X208),suc(X206)) ),
inference(factor,status(thm),[c0]) ).
cnf(c886_027,plain,
( ~ 'E'(s('0'),f(suc(X408)))
| ~ 'E'(s('0'),f(X408))
| ~ 'E'(s('0'),f(suc(X409)))
| ~ iLEQ(suc(X408),suc(X408))
| ~ 'E'(s('0'),f(X409))
| ~ iLEQ(suc(X408),suc(X409)) ),
inference(factor,status(thm),[c72]) ).
cnf(c2231_028,plain,
( ~ 'E'(s('0'),f(suc(X410)))
| ~ 'E'(s('0'),f(X410))
| ~ iLEQ(suc(X410),suc(X410)) ),
inference(factor,status(thm),[c886]) ).
cnf(c2253_029,plain,
( ~ 'E'(s('0'),f(X411))
| ~ iLEQ(suc(X411),suc(X411))
| 'LE'(f(X411),s('0')) ),
inference(resolution,status(thm),[c2231,c47]) ).
cnf(c2307_030,plain,
( ~ 'E'(s('0'),f(X412))
| 'LE'(f(X412),s('0')) ),
inference(resolution,status(thm),[c2253,c66]) ).
cnf(c2323_031,plain,
'LE'(f(X413),s('0')),
inference(resolution,status(thm),[c2307,c8]) ).
cnf(c2337,plain,
( 'E'('0',f(suc(X419)))
| 'LE'(f(X419),'0') ),
inference(resolution,status(thm),[c2323,clause_117]) ).
cnf(c2437,plain,
'E'('0',f(suc(z))),
inference(resolution,status(thm),[c2337,clause_70]) ).
cnf(clause_70_032,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_94_033,axiom,
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X2))
| 'LE'(f(X2),'0') ),
input ).
cnf(clause_58_034,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_20_035,axiom,
( ~ 'LE'(f(X11),s(s('0')))
| 'E'(s('0'),f(X11))
| 'LE'(f(X11),s('0')) ),
input ).
cnf(c8_036,plain,
( 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
inference(resolution,status(thm),[clause_20,clause_58]) ).
cnf(clause_50_037,axiom,
( ~ 'E'(s('0'),f(X10))
| ~ 'E'(s('0'),f(suc(X10)))
| iLEQ(suc(X10),suc(X10)) ),
input ).
cnf(clause_58_038,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_83_039,axiom,
( ~ 'LE'(f(suc(X22)),s(s('0')))
| 'E'(s('0'),f(suc(X22)))
| 'LE'(f(X22),s('0')) ),
input ).
cnf(c47_040,plain,
( 'E'(s('0'),f(suc(X23)))
| 'LE'(f(X23),s('0')) ),
inference(resolution,status(thm),[clause_83,clause_58]) ).
cnf(c48_041,plain,
( 'LE'(f(X25),s('0'))
| ~ 'E'(s('0'),f(X25))
| iLEQ(suc(X25),suc(X25)) ),
inference(resolution,status(thm),[c47,clause_50]) ).
cnf(c66_042,plain,
( 'LE'(f(X26),s('0'))
| iLEQ(suc(X26),suc(X26)) ),
inference(resolution,status(thm),[c48,c8]) ).
cnf(c71,plain,
( iLEQ(suc(X31),suc(X31))
| 'E'('0',f(X31))
| 'LE'(f(X31),'0') ),
inference(resolution,status(thm),[c66,clause_94]) ).
cnf(c87,plain,
( iLEQ(suc(z),suc(z))
| 'E'('0',f(z)) ),
inference(resolution,status(thm),[c71,clause_70]) ).
cnf(clause_6,axiom,
( ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
input ).
cnf(clause_70_043,axiom,
~ 'LE'(f(z),'0'),
input ).
cnf(clause_117_044,axiom,
( ~ 'LE'(f(suc(X4)),s('0'))
| 'E'('0',f(suc(X4)))
| 'LE'(f(X4),'0') ),
input ).
cnf(clause_58_045,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_20_046,axiom,
( ~ 'LE'(f(X11),s(s('0')))
| 'E'(s('0'),f(X11))
| 'LE'(f(X11),s('0')) ),
input ).
cnf(c8_047,plain,
( 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
inference(resolution,status(thm),[clause_20,clause_58]) ).
cnf(clause_58_048,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_20_049,axiom,
( ~ 'LE'(f(X11),s(s('0')))
| 'E'(s('0'),f(X11))
| 'LE'(f(X11),s('0')) ),
input ).
cnf(c8_050,plain,
( 'E'(s('0'),f(X12))
| 'LE'(f(X12),s('0')) ),
inference(resolution,status(thm),[clause_20,clause_58]) ).
cnf(clause_50_051,axiom,
( ~ 'E'(s('0'),f(X10))
| ~ 'E'(s('0'),f(suc(X10)))
| iLEQ(suc(X10),suc(X10)) ),
input ).
cnf(clause_58_052,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_83_053,axiom,
( ~ 'LE'(f(suc(X22)),s(s('0')))
| 'E'(s('0'),f(suc(X22)))
| 'LE'(f(X22),s('0')) ),
input ).
cnf(c47_054,plain,
( 'E'(s('0'),f(suc(X23)))
| 'LE'(f(X23),s('0')) ),
inference(resolution,status(thm),[clause_83,clause_58]) ).
cnf(c48_055,plain,
( 'LE'(f(X25),s('0'))
| ~ 'E'(s('0'),f(X25))
| iLEQ(suc(X25),suc(X25)) ),
inference(resolution,status(thm),[c47,clause_50]) ).
cnf(c66_056,plain,
( 'LE'(f(X26),s('0'))
| iLEQ(suc(X26),suc(X26)) ),
inference(resolution,status(thm),[c48,c8]) ).
cnf(clause_58_057,axiom,
'LE'(f(X1),s(s('0'))),
input ).
cnf(clause_83_058,axiom,
( ~ 'LE'(f(suc(X22)),s(s('0')))
| 'E'(s('0'),f(suc(X22)))
| 'LE'(f(X22),s('0')) ),
input ).
cnf(c47_059,plain,
( 'E'(s('0'),f(suc(X23)))
| 'LE'(f(X23),s('0')) ),
inference(resolution,status(thm),[clause_83,clause_58]) ).
cnf(clause_37_060,axiom,
( ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ iLEQ(suc(X8),suc(X7))
| ~ 'E'(s('0'),f(X7))
| ~ iLEQ(suc(X9),suc(X5))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(X9))
| ~ iLEQ(suc(X5),suc(X6))
| ~ iLEQ(suc(X7),suc(X9))
| ~ 'E'(s('0'),f(suc(X9))) ),
input ).
cnf(c0_061,plain,
( ~ 'E'(s('0'),f(suc(X27)))
| ~ 'E'(s('0'),f(X27))
| ~ 'E'(s('0'),f(suc(X28)))
| ~ 'E'(s('0'),f(suc(X29)))
| ~ 'E'(s('0'),f(X30))
| ~ 'E'(s('0'),f(suc(X30)))
| ~ iLEQ(suc(X30),suc(X29))
| ~ 'E'(s('0'),f(X29))
| ~ iLEQ(suc(X27),suc(X27))
| ~ 'E'(s('0'),f(X28))
| ~ iLEQ(suc(X27),suc(X28))
| ~ iLEQ(suc(X29),suc(X27)) ),
inference(factor,status(thm),[clause_37]) ).
cnf(c72_062,plain,
( ~ 'E'(s('0'),f(suc(X206)))
| ~ 'E'(s('0'),f(X206))
| ~ 'E'(s('0'),f(suc(X207)))
| ~ 'E'(s('0'),f(suc(X208)))
| ~ iLEQ(suc(X206),suc(X208))
| ~ 'E'(s('0'),f(X208))
| ~ iLEQ(suc(X206),suc(X206))
| ~ 'E'(s('0'),f(X207))
| ~ iLEQ(suc(X206),suc(X207))
| ~ iLEQ(suc(X208),suc(X206)) ),
inference(factor,status(thm),[c0]) ).
cnf(c886_063,plain,
( ~ 'E'(s('0'),f(suc(X408)))
| ~ 'E'(s('0'),f(X408))
| ~ 'E'(s('0'),f(suc(X409)))
| ~ iLEQ(suc(X408),suc(X408))
| ~ 'E'(s('0'),f(X409))
| ~ iLEQ(suc(X408),suc(X409)) ),
inference(factor,status(thm),[c72]) ).
cnf(c2231_064,plain,
( ~ 'E'(s('0'),f(suc(X410)))
| ~ 'E'(s('0'),f(X410))
| ~ iLEQ(suc(X410),suc(X410)) ),
inference(factor,status(thm),[c886]) ).
cnf(c2253_065,plain,
( ~ 'E'(s('0'),f(X411))
| ~ iLEQ(suc(X411),suc(X411))
| 'LE'(f(X411),s('0')) ),
inference(resolution,status(thm),[c2231,c47]) ).
cnf(c2307_066,plain,
( ~ 'E'(s('0'),f(X412))
| 'LE'(f(X412),s('0')) ),
inference(resolution,status(thm),[c2253,c66]) ).
cnf(c2323_067,plain,
'LE'(f(X413),s('0')),
inference(resolution,status(thm),[c2307,c8]) ).
cnf(c2337_068,plain,
( 'E'('0',f(suc(X419)))
| 'LE'(f(X419),'0') ),
inference(resolution,status(thm),[c2323,clause_117]) ).
cnf(c2437_069,plain,
'E'('0',f(suc(z))),
inference(resolution,status(thm),[c2337,clause_70]) ).
cnf(c2452,plain,
( ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference(resolution,status(thm),[c2437,clause_6]) ).
cnf(c2492,plain,
iLEQ(suc(z),suc(z)),
inference(resolution,status(thm),[c2452,c87]) ).
cnf(clause_66,axiom,
( ~ 'E'('0',f(X14))
| ~ 'E'('0',f(suc(X15)))
| ~ 'E'('0',f(suc(X16)))
| ~ iLEQ(suc(X16),suc(X15))
| ~ iLEQ(suc(X15),suc(X17))
| ~ 'E'('0',f(suc(X14)))
| ~ 'E'('0',f(X16))
| ~ iLEQ(suc(X17),suc(X14))
| ~ 'E'('0',f(X18))
| ~ iLEQ(suc(X14),suc(X18))
| ~ 'E'('0',f(suc(X17)))
| ~ 'E'('0',f(X15))
| ~ 'E'('0',f(suc(X18)))
| ~ 'E'('0',f(X17)) ),
input ).
cnf(c20,plain,
( ~ 'E'('0',f(X114))
| ~ 'E'('0',f(suc(X115)))
| ~ 'E'('0',f(suc(X116)))
| ~ iLEQ(suc(X116),suc(X115))
| ~ iLEQ(suc(X115),suc(X117))
| ~ 'E'('0',f(suc(X114)))
| ~ 'E'('0',f(X116))
| ~ iLEQ(suc(X117),suc(X114))
| ~ iLEQ(suc(X114),suc(X114))
| ~ 'E'('0',f(suc(X117)))
| ~ 'E'('0',f(X115))
| ~ 'E'('0',f(X117)) ),
inference(factor,status(thm),[clause_66]) ).
cnf(c472,plain,
( ~ 'E'('0',f(X969))
| ~ 'E'('0',f(suc(X970)))
| ~ 'E'('0',f(suc(X971)))
| ~ iLEQ(suc(X971),suc(X970))
| ~ iLEQ(suc(X970),suc(X969))
| ~ 'E'('0',f(suc(X969)))
| ~ 'E'('0',f(X971))
| ~ iLEQ(suc(X969),suc(X969))
| ~ 'E'('0',f(X970)) ),
inference(factor,status(thm),[c20]) ).
cnf(c2993,plain,
( ~ 'E'('0',f(X972))
| ~ 'E'('0',f(suc(X972)))
| ~ iLEQ(suc(X972),suc(X972)) ),
inference(factor,status(thm),[c472]) ).
cnf(c3078,plain,
( ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(z))) ),
inference(resolution,status(thm),[c2993,c2492]) ).
cnf(c3116,plain,
~ 'E'('0',f(z)),
inference(resolution,status(thm),[c3078,c2437]) ).
cnf(c3136,plain,
$false,
inference(resolution,status(thm),[c3116,c2396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO664-1 : TPTP v7.5.0. Released v7.3.0.
% 0.06/0.12 % Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % RAMPerCPU : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Mar 14 15:35:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.42 # Using default include path : /export/starexec/sandbox/benchmark
% 0.19/0.42 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.19/0.43 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.19/0.46 # hasConjecture: false isFOF: false
% 0.19/0.46 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.19/0.46 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 18.56/13.09 # -----------------
% 18.56/13.09 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.56/13.09
% 18.56/13.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.56/13.09 cnf(clause_70,axiom,~'LE'(f(z),'0'),input).
% 18.56/13.09 cnf(clause_94,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_20,axiom,~'LE'(f(X11),s(s('0')))|'E'(s('0'),f(X11))|'LE'(f(X11),s('0')),input).
% 18.56/13.09 cnf(c8,plain,'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),inference(resolution, status(thm), [clause_20, clause_58])).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_20,axiom,~'LE'(f(X11),s(s('0')))|'E'(s('0'),f(X11))|'LE'(f(X11),s('0')),input).
% 18.56/13.09 cnf(c8,plain,'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),inference(resolution, status(thm), [clause_20, clause_58])).
% 18.56/13.09 cnf(clause_50,axiom,~'E'(s('0'),f(X10))|~'E'(s('0'),f(suc(X10)))|iLEQ(suc(X10),suc(X10)),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_83,axiom,~'LE'(f(suc(X22)),s(s('0')))|'E'(s('0'),f(suc(X22)))|'LE'(f(X22),s('0')),input).
% 18.56/13.09 cnf(c47,plain,'E'(s('0'),f(suc(X23)))|'LE'(f(X23),s('0')),inference(resolution, status(thm), [clause_83, clause_58])).
% 18.56/13.09 cnf(c48,plain,'LE'(f(X25),s('0'))|~'E'(s('0'),f(X25))|iLEQ(suc(X25),suc(X25)),inference(resolution, status(thm), [c47, clause_50])).
% 18.56/13.09 cnf(c66,plain,'LE'(f(X26),s('0'))|iLEQ(suc(X26),suc(X26)),inference(resolution, status(thm), [c48, c8])).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_83,axiom,~'LE'(f(suc(X22)),s(s('0')))|'E'(s('0'),f(suc(X22)))|'LE'(f(X22),s('0')),input).
% 18.56/13.09 cnf(c47,plain,'E'(s('0'),f(suc(X23)))|'LE'(f(X23),s('0')),inference(resolution, status(thm), [clause_83, clause_58])).
% 18.56/13.09 cnf(clause_37,axiom,~'E'(s('0'),f(suc(X5)))|~'E'(s('0'),f(X5))|~'E'(s('0'),f(suc(X6)))|~'E'(s('0'),f(suc(X7)))|~'E'(s('0'),f(X8))|~'E'(s('0'),f(suc(X8)))|~iLEQ(suc(X8),suc(X7))|~'E'(s('0'),f(X7))|~iLEQ(suc(X9),suc(X5))|~'E'(s('0'),f(X6))|~'E'(s('0'),f(X9))|~iLEQ(suc(X5),suc(X6))|~iLEQ(suc(X7),suc(X9))|~'E'(s('0'),f(suc(X9))),input).
% 18.56/13.09 cnf(c0,plain,~'E'(s('0'),f(suc(X27)))|~'E'(s('0'),f(X27))|~'E'(s('0'),f(suc(X28)))|~'E'(s('0'),f(suc(X29)))|~'E'(s('0'),f(X30))|~'E'(s('0'),f(suc(X30)))|~iLEQ(suc(X30),suc(X29))|~'E'(s('0'),f(X29))|~iLEQ(suc(X27),suc(X27))|~'E'(s('0'),f(X28))|~iLEQ(suc(X27),suc(X28))|~iLEQ(suc(X29),suc(X27)),inference(factor, status(thm), [clause_37])).
% 18.56/13.09 cnf(c72,plain,~'E'(s('0'),f(suc(X206)))|~'E'(s('0'),f(X206))|~'E'(s('0'),f(suc(X207)))|~'E'(s('0'),f(suc(X208)))|~iLEQ(suc(X206),suc(X208))|~'E'(s('0'),f(X208))|~iLEQ(suc(X206),suc(X206))|~'E'(s('0'),f(X207))|~iLEQ(suc(X206),suc(X207))|~iLEQ(suc(X208),suc(X206)),inference(factor, status(thm), [c0])).
% 18.56/13.09 cnf(c886,plain,~'E'(s('0'),f(suc(X408)))|~'E'(s('0'),f(X408))|~'E'(s('0'),f(suc(X409)))|~iLEQ(suc(X408),suc(X408))|~'E'(s('0'),f(X409))|~iLEQ(suc(X408),suc(X409)),inference(factor, status(thm), [c72])).
% 18.56/13.09 cnf(c2231,plain,~'E'(s('0'),f(suc(X410)))|~'E'(s('0'),f(X410))|~iLEQ(suc(X410),suc(X410)),inference(factor, status(thm), [c886])).
% 18.56/13.09 cnf(c2253,plain,~'E'(s('0'),f(X411))|~iLEQ(suc(X411),suc(X411))|'LE'(f(X411),s('0')),inference(resolution, status(thm), [c2231, c47])).
% 18.56/13.09 cnf(c2307,plain,~'E'(s('0'),f(X412))|'LE'(f(X412),s('0')),inference(resolution, status(thm), [c2253, c66])).
% 18.56/13.09 cnf(c2323,plain,'LE'(f(X413),s('0')),inference(resolution, status(thm), [c2307, c8])).
% 18.56/13.09 cnf(c2338,plain,'E'('0',f(X418))|'LE'(f(X418),'0'),inference(resolution, status(thm), [c2323, clause_94])).
% 18.56/13.09 cnf(c2396,plain,'E'('0',f(z)),inference(resolution, status(thm), [c2338, clause_70])).
% 18.56/13.09 cnf(clause_70,axiom,~'LE'(f(z),'0'),input).
% 18.56/13.09 cnf(clause_117,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_20,axiom,~'LE'(f(X11),s(s('0')))|'E'(s('0'),f(X11))|'LE'(f(X11),s('0')),input).
% 18.56/13.09 cnf(c8,plain,'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),inference(resolution, status(thm), [clause_20, clause_58])).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_20,axiom,~'LE'(f(X11),s(s('0')))|'E'(s('0'),f(X11))|'LE'(f(X11),s('0')),input).
% 18.56/13.09 cnf(c8,plain,'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),inference(resolution, status(thm), [clause_20, clause_58])).
% 18.56/13.09 cnf(clause_50,axiom,~'E'(s('0'),f(X10))|~'E'(s('0'),f(suc(X10)))|iLEQ(suc(X10),suc(X10)),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_83,axiom,~'LE'(f(suc(X22)),s(s('0')))|'E'(s('0'),f(suc(X22)))|'LE'(f(X22),s('0')),input).
% 18.56/13.09 cnf(c47,plain,'E'(s('0'),f(suc(X23)))|'LE'(f(X23),s('0')),inference(resolution, status(thm), [clause_83, clause_58])).
% 18.56/13.09 cnf(c48,plain,'LE'(f(X25),s('0'))|~'E'(s('0'),f(X25))|iLEQ(suc(X25),suc(X25)),inference(resolution, status(thm), [c47, clause_50])).
% 18.56/13.09 cnf(c66,plain,'LE'(f(X26),s('0'))|iLEQ(suc(X26),suc(X26)),inference(resolution, status(thm), [c48, c8])).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_83,axiom,~'LE'(f(suc(X22)),s(s('0')))|'E'(s('0'),f(suc(X22)))|'LE'(f(X22),s('0')),input).
% 18.56/13.09 cnf(c47,plain,'E'(s('0'),f(suc(X23)))|'LE'(f(X23),s('0')),inference(resolution, status(thm), [clause_83, clause_58])).
% 18.56/13.09 cnf(clause_37,axiom,~'E'(s('0'),f(suc(X5)))|~'E'(s('0'),f(X5))|~'E'(s('0'),f(suc(X6)))|~'E'(s('0'),f(suc(X7)))|~'E'(s('0'),f(X8))|~'E'(s('0'),f(suc(X8)))|~iLEQ(suc(X8),suc(X7))|~'E'(s('0'),f(X7))|~iLEQ(suc(X9),suc(X5))|~'E'(s('0'),f(X6))|~'E'(s('0'),f(X9))|~iLEQ(suc(X5),suc(X6))|~iLEQ(suc(X7),suc(X9))|~'E'(s('0'),f(suc(X9))),input).
% 18.56/13.09 cnf(c0,plain,~'E'(s('0'),f(suc(X27)))|~'E'(s('0'),f(X27))|~'E'(s('0'),f(suc(X28)))|~'E'(s('0'),f(suc(X29)))|~'E'(s('0'),f(X30))|~'E'(s('0'),f(suc(X30)))|~iLEQ(suc(X30),suc(X29))|~'E'(s('0'),f(X29))|~iLEQ(suc(X27),suc(X27))|~'E'(s('0'),f(X28))|~iLEQ(suc(X27),suc(X28))|~iLEQ(suc(X29),suc(X27)),inference(factor, status(thm), [clause_37])).
% 18.56/13.09 cnf(c72,plain,~'E'(s('0'),f(suc(X206)))|~'E'(s('0'),f(X206))|~'E'(s('0'),f(suc(X207)))|~'E'(s('0'),f(suc(X208)))|~iLEQ(suc(X206),suc(X208))|~'E'(s('0'),f(X208))|~iLEQ(suc(X206),suc(X206))|~'E'(s('0'),f(X207))|~iLEQ(suc(X206),suc(X207))|~iLEQ(suc(X208),suc(X206)),inference(factor, status(thm), [c0])).
% 18.56/13.09 cnf(c886,plain,~'E'(s('0'),f(suc(X408)))|~'E'(s('0'),f(X408))|~'E'(s('0'),f(suc(X409)))|~iLEQ(suc(X408),suc(X408))|~'E'(s('0'),f(X409))|~iLEQ(suc(X408),suc(X409)),inference(factor, status(thm), [c72])).
% 18.56/13.09 cnf(c2231,plain,~'E'(s('0'),f(suc(X410)))|~'E'(s('0'),f(X410))|~iLEQ(suc(X410),suc(X410)),inference(factor, status(thm), [c886])).
% 18.56/13.09 cnf(c2253,plain,~'E'(s('0'),f(X411))|~iLEQ(suc(X411),suc(X411))|'LE'(f(X411),s('0')),inference(resolution, status(thm), [c2231, c47])).
% 18.56/13.09 cnf(c2307,plain,~'E'(s('0'),f(X412))|'LE'(f(X412),s('0')),inference(resolution, status(thm), [c2253, c66])).
% 18.56/13.09 cnf(c2323,plain,'LE'(f(X413),s('0')),inference(resolution, status(thm), [c2307, c8])).
% 18.56/13.09 cnf(c2337,plain,'E'('0',f(suc(X419)))|'LE'(f(X419),'0'),inference(resolution, status(thm), [c2323, clause_117])).
% 18.56/13.09 cnf(c2437,plain,'E'('0',f(suc(z))),inference(resolution, status(thm), [c2337, clause_70])).
% 18.56/13.09 cnf(clause_70,axiom,~'LE'(f(z),'0'),input).
% 18.56/13.09 cnf(clause_94,axiom,~'LE'(f(X2),s('0'))|'E'('0',f(X2))|'LE'(f(X2),'0'),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_20,axiom,~'LE'(f(X11),s(s('0')))|'E'(s('0'),f(X11))|'LE'(f(X11),s('0')),input).
% 18.56/13.09 cnf(c8,plain,'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),inference(resolution, status(thm), [clause_20, clause_58])).
% 18.56/13.09 cnf(clause_50,axiom,~'E'(s('0'),f(X10))|~'E'(s('0'),f(suc(X10)))|iLEQ(suc(X10),suc(X10)),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_83,axiom,~'LE'(f(suc(X22)),s(s('0')))|'E'(s('0'),f(suc(X22)))|'LE'(f(X22),s('0')),input).
% 18.56/13.09 cnf(c47,plain,'E'(s('0'),f(suc(X23)))|'LE'(f(X23),s('0')),inference(resolution, status(thm), [clause_83, clause_58])).
% 18.56/13.09 cnf(c48,plain,'LE'(f(X25),s('0'))|~'E'(s('0'),f(X25))|iLEQ(suc(X25),suc(X25)),inference(resolution, status(thm), [c47, clause_50])).
% 18.56/13.09 cnf(c66,plain,'LE'(f(X26),s('0'))|iLEQ(suc(X26),suc(X26)),inference(resolution, status(thm), [c48, c8])).
% 18.56/13.09 cnf(c71,plain,iLEQ(suc(X31),suc(X31))|'E'('0',f(X31))|'LE'(f(X31),'0'),inference(resolution, status(thm), [c66, clause_94])).
% 18.56/13.09 cnf(c87,plain,iLEQ(suc(z),suc(z))|'E'('0',f(z)),inference(resolution, status(thm), [c71, clause_70])).
% 18.56/13.09 cnf(clause_6,axiom,~'E'('0',f(X3))|~'E'('0',f(suc(X3)))|iLEQ(suc(X3),suc(X3)),input).
% 18.56/13.09 cnf(clause_70,axiom,~'LE'(f(z),'0'),input).
% 18.56/13.09 cnf(clause_117,axiom,~'LE'(f(suc(X4)),s('0'))|'E'('0',f(suc(X4)))|'LE'(f(X4),'0'),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_20,axiom,~'LE'(f(X11),s(s('0')))|'E'(s('0'),f(X11))|'LE'(f(X11),s('0')),input).
% 18.56/13.09 cnf(c8,plain,'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),inference(resolution, status(thm), [clause_20, clause_58])).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_20,axiom,~'LE'(f(X11),s(s('0')))|'E'(s('0'),f(X11))|'LE'(f(X11),s('0')),input).
% 18.56/13.09 cnf(c8,plain,'E'(s('0'),f(X12))|'LE'(f(X12),s('0')),inference(resolution, status(thm), [clause_20, clause_58])).
% 18.56/13.09 cnf(clause_50,axiom,~'E'(s('0'),f(X10))|~'E'(s('0'),f(suc(X10)))|iLEQ(suc(X10),suc(X10)),input).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_83,axiom,~'LE'(f(suc(X22)),s(s('0')))|'E'(s('0'),f(suc(X22)))|'LE'(f(X22),s('0')),input).
% 18.56/13.09 cnf(c47,plain,'E'(s('0'),f(suc(X23)))|'LE'(f(X23),s('0')),inference(resolution, status(thm), [clause_83, clause_58])).
% 18.56/13.09 cnf(c48,plain,'LE'(f(X25),s('0'))|~'E'(s('0'),f(X25))|iLEQ(suc(X25),suc(X25)),inference(resolution, status(thm), [c47, clause_50])).
% 18.56/13.09 cnf(c66,plain,'LE'(f(X26),s('0'))|iLEQ(suc(X26),suc(X26)),inference(resolution, status(thm), [c48, c8])).
% 18.56/13.09 cnf(clause_58,axiom,'LE'(f(X1),s(s('0'))),input).
% 18.56/13.09 cnf(clause_83,axiom,~'LE'(f(suc(X22)),s(s('0')))|'E'(s('0'),f(suc(X22)))|'LE'(f(X22),s('0')),input).
% 18.56/13.09 cnf(c47,plain,'E'(s('0'),f(suc(X23)))|'LE'(f(X23),s('0')),inference(resolution, status(thm), [clause_83, clause_58])).
% 18.56/13.09 cnf(clause_37,axiom,~'E'(s('0'),f(suc(X5)))|~'E'(s('0'),f(X5))|~'E'(s('0'),f(suc(X6)))|~'E'(s('0'),f(suc(X7)))|~'E'(s('0'),f(X8))|~'E'(s('0'),f(suc(X8)))|~iLEQ(suc(X8),suc(X7))|~'E'(s('0'),f(X7))|~iLEQ(suc(X9),suc(X5))|~'E'(s('0'),f(X6))|~'E'(s('0'),f(X9))|~iLEQ(suc(X5),suc(X6))|~iLEQ(suc(X7),suc(X9))|~'E'(s('0'),f(suc(X9))),input).
% 18.56/13.09 cnf(c0,plain,~'E'(s('0'),f(suc(X27)))|~'E'(s('0'),f(X27))|~'E'(s('0'),f(suc(X28)))|~'E'(s('0'),f(suc(X29)))|~'E'(s('0'),f(X30))|~'E'(s('0'),f(suc(X30)))|~iLEQ(suc(X30),suc(X29))|~'E'(s('0'),f(X29))|~iLEQ(suc(X27),suc(X27))|~'E'(s('0'),f(X28))|~iLEQ(suc(X27),suc(X28))|~iLEQ(suc(X29),suc(X27)),inference(factor, status(thm), [clause_37])).
% 18.56/13.09 cnf(c72,plain,~'E'(s('0'),f(suc(X206)))|~'E'(s('0'),f(X206))|~'E'(s('0'),f(suc(X207)))|~'E'(s('0'),f(suc(X208)))|~iLEQ(suc(X206),suc(X208))|~'E'(s('0'),f(X208))|~iLEQ(suc(X206),suc(X206))|~'E'(s('0'),f(X207))|~iLEQ(suc(X206),suc(X207))|~iLEQ(suc(X208),suc(X206)),inference(factor, status(thm), [c0])).
% 18.56/13.09 cnf(c886,plain,~'E'(s('0'),f(suc(X408)))|~'E'(s('0'),f(X408))|~'E'(s('0'),f(suc(X409)))|~iLEQ(suc(X408),suc(X408))|~'E'(s('0'),f(X409))|~iLEQ(suc(X408),suc(X409)),inference(factor, status(thm), [c72])).
% 18.56/13.09 cnf(c2231,plain,~'E'(s('0'),f(suc(X410)))|~'E'(s('0'),f(X410))|~iLEQ(suc(X410),suc(X410)),inference(factor, status(thm), [c886])).
% 18.56/13.09 cnf(c2253,plain,~'E'(s('0'),f(X411))|~iLEQ(suc(X411),suc(X411))|'LE'(f(X411),s('0')),inference(resolution, status(thm), [c2231, c47])).
% 18.56/13.09 cnf(c2307,plain,~'E'(s('0'),f(X412))|'LE'(f(X412),s('0')),inference(resolution, status(thm), [c2253, c66])).
% 18.56/13.09 cnf(c2323,plain,'LE'(f(X413),s('0')),inference(resolution, status(thm), [c2307, c8])).
% 18.56/13.09 cnf(c2337,plain,'E'('0',f(suc(X419)))|'LE'(f(X419),'0'),inference(resolution, status(thm), [c2323, clause_117])).
% 18.56/13.09 cnf(c2437,plain,'E'('0',f(suc(z))),inference(resolution, status(thm), [c2337, clause_70])).
% 18.56/13.09 cnf(c2452,plain,~'E'('0',f(z))|iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c2437, clause_6])).
% 18.56/13.09 cnf(c2492,plain,iLEQ(suc(z),suc(z)),inference(resolution, status(thm), [c2452, c87])).
% 18.56/13.09 cnf(clause_66,axiom,~'E'('0',f(X14))|~'E'('0',f(suc(X15)))|~'E'('0',f(suc(X16)))|~iLEQ(suc(X16),suc(X15))|~iLEQ(suc(X15),suc(X17))|~'E'('0',f(suc(X14)))|~'E'('0',f(X16))|~iLEQ(suc(X17),suc(X14))|~'E'('0',f(X18))|~iLEQ(suc(X14),suc(X18))|~'E'('0',f(suc(X17)))|~'E'('0',f(X15))|~'E'('0',f(suc(X18)))|~'E'('0',f(X17)),input).
% 18.56/13.09 cnf(c20,plain,~'E'('0',f(X114))|~'E'('0',f(suc(X115)))|~'E'('0',f(suc(X116)))|~iLEQ(suc(X116),suc(X115))|~iLEQ(suc(X115),suc(X117))|~'E'('0',f(suc(X114)))|~'E'('0',f(X116))|~iLEQ(suc(X117),suc(X114))|~iLEQ(suc(X114),suc(X114))|~'E'('0',f(suc(X117)))|~'E'('0',f(X115))|~'E'('0',f(X117)),inference(factor, status(thm), [clause_66])).
% 18.56/13.09 cnf(c472,plain,~'E'('0',f(X969))|~'E'('0',f(suc(X970)))|~'E'('0',f(suc(X971)))|~iLEQ(suc(X971),suc(X970))|~iLEQ(suc(X970),suc(X969))|~'E'('0',f(suc(X969)))|~'E'('0',f(X971))|~iLEQ(suc(X969),suc(X969))|~'E'('0',f(X970)),inference(factor, status(thm), [c20])).
% 18.56/13.09 cnf(c2993,plain,~'E'('0',f(X972))|~'E'('0',f(suc(X972)))|~iLEQ(suc(X972),suc(X972)),inference(factor, status(thm), [c472])).
% 18.56/13.09 cnf(c3078,plain,~'E'('0',f(z))|~'E'('0',f(suc(z))),inference(resolution, status(thm), [c2993, c2492])).
% 18.56/13.09 cnf(c3116,plain,~'E'('0',f(z)),inference(resolution, status(thm), [c3078, c2437])).
% 18.56/13.09 cnf(c3136,plain,$false,inference(resolution, status(thm), [c3116, c2396])).
% 18.56/13.09 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.56/13.09 # Filename : /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.56/13.09 # Indexed : true
% 18.56/13.09 # Eval function name : PickGiven5
% 18.56/13.09 # Initial clauses : 10
% 18.56/13.09 # Processed clauses : 193
% 18.56/13.09 # Factors computed : 369
% 18.56/13.09 # Resolvents computed: 2772
% 18.56/13.09 # Tautologies deleted: 21
% 18.56/13.09 # Forward subsumed : 710
% 18.56/13.09 # Backward subsumed : 226
% 18.56/13.09 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.56/13.09 # SZS Expected : Unsatisfiable
% 18.56/13.09 # time : 12624ms
% 18.56/13.09
%------------------------------------------------------------------------------