%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO688-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:32:25 PM UTC 2026
% Result : Unsatisfiable 7.83s 1.61s
% Output : Refutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 42
% Syntax : Number of formulae : 229 ( 13 unt; 5 def)
% Number of atoms : 1496 ( 0 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 2199 ( 932 ~;1262 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 429 ( 0 sgn 429 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
! [X0] : 'LE'(f(X0),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_299) ).
fof(f125,axiom,
! [X2,X0,X1] :
( ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_743) ).
fof(f135,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X0)))
| 'LE'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_773) ).
fof(f139,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'LE'(f(X0),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1123) ).
fof(f148,axiom,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| 'E'(f(X0),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_171) ).
fof(f153,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1158) ).
fof(f169,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_269) ).
fof(f190,axiom,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1023) ).
fof(f226,axiom,
! [X0] :
( ~ 'LE'(f(X0),s('0'))
| 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_199) ).
fof(f279,axiom,
! [X0] :
( ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_237) ).
fof(f360,axiom,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_340) ).
fof(f366,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_546) ).
fof(f384,axiom,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_813) ).
fof(f402,axiom,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X1))))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_436) ).
fof(f470,axiom,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_473) ).
fof(f502,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1143) ).
fof(f535,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X0))))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_160) ).
fof(f580,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_231) ).
fof(f581,axiom,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_106) ).
fof(f587,axiom,
! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X1))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X2),f(suc(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_778) ).
fof(f660,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s('0'))
| 'E'('0',f(suc(suc(X0))))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_840) ).
fof(f692,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s('0')))
| 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_149) ).
fof(f720,axiom,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_256) ).
fof(f756,axiom,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X2),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_694) ).
fof(f809,axiom,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_105) ).
fof(f852,axiom,
! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| 'E'(f(X0),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1089) ).
fof(f894,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(X0))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_298) ).
fof(f914,axiom,
! [X0] :
( ~ 'LE'(f(suc(suc(X0))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'LE'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_569) ).
fof(f932,axiom,
! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X2))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1016) ).
fof(f943,axiom,
! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| 'E'(f(X0),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_794) ).
fof(f982,axiom,
! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X2))))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(suc(X1))))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_115) ).
fof(f1030,axiom,
! [X2,X0,X1] :
( ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X2))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_303) ).
fof(f1031,axiom,
! [X0] :
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X0))
| 'LE'(f(X0),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f1075,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s('0'))
| 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_713) ).
fof(f1085,axiom,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| 'E'(f(X0),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_698) ).
fof(f1151,axiom,
! [X0] :
( ~ 'LE'(f(suc(X0)),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(suc(X0)))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_297) ).
fof(f1160,axiom,
! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_249) ).
fof(f1296,plain,
! [X1] :
( ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| iLEQ(suc(X1),suc(X1)) ),
inference(global_subsumption,[],[f581,f720]) ).
fof(f1383,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X0))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'(s('0'),f(suc(X0))) ),
inference(global_subsumption,[],[f360,f852]) ).
fof(f1442,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| iLEQ(suc(X0),suc(X0)) ),
inference(global_subsumption,[],[f279,f943]) ).
fof(f1548,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
inference(global_subsumption,[],[f148,f190]) ).
fof(f1598,plain,
! [X2] :
( 'LE'(f(X2),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X2)) ),
inference(global_subsumption,[],[f92,f894]) ).
fof(f1612,plain,
! [X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X1))))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| iLEQ(suc(X1),suc(X1)) ),
inference(global_subsumption,[],[f470,f1085]) ).
fof(f1713,definition,
( spl0_7
<=> ! [X0] : 'LE'(f(X0),'0') ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1714,plain,
( ! [X0] : 'LE'(f(X0),'0')
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1715,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f1714,f366]) ).
fof(f1716,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1728,definition,
( spl0_11
<=> ! [X2] : 'LE'(f(X2),s(s(s(s('0'))))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f1729,plain,
( ! [X2] : 'LE'(f(X2),s(s(s(s('0')))))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1984,definition,
( spl0_23
<=> ! [X0] : 'LE'(f(X0),s(s(s('0')))) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1985,plain,
( ! [X0] : 'LE'(f(X0),s(s(s('0'))))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f2016,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(suc(X0)))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f1151,f92]) ).
fof(f2023,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f580,f92]) ).
fof(f2109,definition,
( spl0_24
<=> ! [X0] : 'LE'(f(X0),s(s('0'))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f2110,plain,
( ! [X0] : 'LE'(f(X0),s(s('0')))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f3039,definition,
( spl0_31
<=> ! [X0] : 'LE'(f(X0),s('0')) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f3040,plain,
( ! [X0] : 'LE'(f(X0),s('0'))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f3039]) ).
fof(f5797,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f402,f2023]) ).
fof(f5801,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f5797,f1598]) ).
fof(f5802,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f5801,f2016]) ).
fof(f5816,plain,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(global_subsumption,[],[f1612,f2023,f2016,f1598]) ).
fof(f5899,plain,
( ! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) )
| ~ spl0_24 ),
inference(resolution,[],[f2110,f153]) ).
fof(f5900,plain,
( ! [X0] :
( 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f2110,f692]) ).
fof(f5901,plain,
( ! [X0] :
( 'E'(s('0'),f(suc(suc(X0))))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f2110,f535]) ).
fof(f5904,plain,
( ! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0)) )
| ~ spl0_23 ),
inference(resolution,[],[f1985,f502]) ).
fof(f5905,plain,
( ! [X0] :
( 'E'(s(s('0')),f(suc(X0)))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f1985,f135]) ).
fof(f5906,plain,
( ! [X0] :
( 'E'(s(s('0')),f(suc(suc(X0))))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f1985,f914]) ).
fof(f5907,plain,
( ! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_11 ),
inference(resolution,[],[f1729,f1031]) ).
fof(f5908,plain,
( ! [X0] :
( 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f1729,f169]) ).
fof(f5910,plain,
( ! [X0] :
( 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f1729,f139]) ).
fof(f6007,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0)) )
| ~ spl0_24 ),
inference(resolution,[],[f5901,f384]) ).
fof(f6008,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0)) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6007,f5900]) ).
fof(f6009,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0)) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6008,f5899]) ).
fof(f6013,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f1383,f5901]) ).
fof(f6021,plain,
( ! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6013,f5899]) ).
fof(f6023,plain,
( ! [X0] :
( iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6021,f5900]) ).
fof(f6080,plain,
( ! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) )
| ~ spl0_31 ),
inference(resolution,[],[f3040,f226]) ).
fof(f6081,plain,
( ! [X0] :
( 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f3040,f1075]) ).
fof(f6082,plain,
( ! [X0] :
( 'E'('0',f(suc(suc(X0))))
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f3040,f660]) ).
fof(f6110,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) )
| ~ spl0_31 ),
inference(resolution,[],[f6082,f125]) ).
fof(f6111,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0))) )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6110,f6080]) ).
fof(f6112,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'('0',f(X2)) )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6111,f6081]) ).
fof(f6205,plain,
( ! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f1296,f6082]) ).
fof(f6208,plain,
( ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6205,f6080]) ).
fof(f6209,plain,
( ! [X0] :
( iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6208,f6081]) ).
fof(f6250,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X2))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f1030,f6081]) ).
fof(f6252,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6250,f6080]) ).
fof(f6253,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6252,f6081]) ).
fof(f6255,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6253,f6080]) ).
fof(f6256,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6255,f6081]) ).
fof(f6259,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6256,f6080]) ).
fof(f6260,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),'0')
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6259,f6209]) ).
fof(f6269,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f6260]) ).
fof(f6270,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),'0')
| 'LE'(f(X0),'0')
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6269,f6209]) ).
fof(f6279,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f6270]) ).
fof(f6292,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X2),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X2),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f756,f5900]) ).
fof(f6310,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| 'LE'(f(X0),'0')
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'('0',f(X2)) )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6112,f6279]) ).
fof(f6311,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6310,f6082]) ).
fof(f6314,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6311,f6080]) ).
fof(f6315,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6314,f6081]) ).
fof(f6316,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(suc(suc(X0))))
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6315,f6279]) ).
fof(f6317,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),'0')
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6316,f6082]) ).
fof(f6320,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),'0')
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6317,f6081]) ).
fof(f6321,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),'0')
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6320,f6080]) ).
fof(f6322,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X0),'0')
| 'LE'(f(X2),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f6321,f6279]) ).
fof(f6323,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),'0')
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0')
| 'LE'(f(X1),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6322,f6209]) ).
fof(f6332,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f6323]) ).
fof(f6333,plain,
( ! [X0] :
( 'LE'(f(X0),'0')
| 'LE'(f(X0),'0')
| 'LE'(f(X0),'0') )
| ~ spl0_31 ),
inference(resolution,[],[f6332,f6209]) ).
fof(f6342,plain,
( ! [X0] : 'LE'(f(X0),'0')
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f6333]) ).
fof(f6343,plain,
( spl0_7
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f6342,f3039,f1713]) ).
fof(f6354,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X2),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X2),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6292,f5899]) ).
fof(f6579,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X2),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6354,f5900]) ).
fof(f6582,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X2),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6579,f5899]) ).
fof(f6583,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X2),suc(X0))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6582,f5900]) ).
fof(f6586,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6583,f5899]) ).
fof(f6589,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X1),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6586,f6023]) ).
fof(f6596,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f6589]) ).
fof(f6603,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6596,f6023]) ).
fof(f6610,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f6603]) ).
fof(f6786,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s('0'),f(suc(X1)))
| 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0)) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6009,f6610]) ).
fof(f6787,plain,
( ! [X2,X0,X1] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X2),s('0'))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6786,f5901]) ).
fof(f6792,plain,
( ! [X2,X0,X1] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X2),s('0'))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6787,f6610]) ).
fof(f6793,plain,
( ! [X2,X0,X1] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X2),s('0'))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6792,f5900]) ).
fof(f6794,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X2),s('0'))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6793,f5899]) ).
fof(f6795,plain,
( ! [X2,X0,X1] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X1),s('0'))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6794,f5901]) ).
fof(f6800,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X1),s('0'))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6795,f6610]) ).
fof(f6801,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X1),s('0'))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6800,f5900]) ).
fof(f6802,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X1),s('0'))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X2),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f6801,f5899]) ).
fof(f6805,plain,
( ! [X0,X1] :
( 'LE'(f(X0),s('0'))
| ~ iLEQ(suc(X1),suc(X0))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X1),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6802,f6023]) ).
fof(f6812,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X1),suc(X0))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X1),s('0')) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f6805]) ).
fof(f6870,plain,
( ! [X0] :
( 'LE'(f(X0),s('0'))
| 'LE'(f(X0),s('0'))
| 'LE'(f(X0),s('0')) )
| ~ spl0_24 ),
inference(resolution,[],[f6812,f6023]) ).
fof(f6877,plain,
( ! [X0] : 'LE'(f(X0),s('0'))
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f6870]) ).
fof(f6882,plain,
( spl0_31
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f6877,f2109,f3039]) ).
fof(f7151,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f1442,f5906]) ).
fof(f7157,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7151,f5904]) ).
fof(f7159,plain,
( ! [X0] :
( iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7157,f5905]) ).
fof(f7610,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(X2))))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f982,f5906]) ).
fof(f7614,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(X2))))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7610,f5904]) ).
fof(f7615,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(X2))))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7614,f5905]) ).
fof(f7914,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X0))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f587,f5905]) ).
fof(f7917,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X0))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7914,f5904]) ).
fof(f7919,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X0))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),s(s('0')))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f7917,f5905]) ).
fof(f7922,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X0))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),s(s('0')))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7919,f5904]) ).
fof(f7923,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f7922,f5905]) ).
fof(f7926,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7923,f5904]) ).
fof(f7930,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f7926,f7159]) ).
fof(f7939,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f7930]) ).
fof(f7949,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f7939,f7159]) ).
fof(f7958,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f7949]) ).
fof(f8354,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X2))))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f7615,f7958]) ).
fof(f8355,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X2),s(s('0')))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f8354,f5906]) ).
fof(f8359,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X2),s(s('0')))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f8355,f5904]) ).
fof(f8360,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X2),s(s('0')))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f8359,f5905]) ).
fof(f8361,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X2),s(s('0')))
| 'LE'(f(X1),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f8360,f7958]) ).
fof(f8362,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f8361,f5906]) ).
fof(f8366,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f8362,f7958]) ).
fof(f8367,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f8366,f5904]) ).
fof(f8368,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X2),s(s('0'))) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f8367,f5905]) ).
fof(f8372,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f8368,f7159]) ).
fof(f8381,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s('0')))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f8372]) ).
fof(f8391,plain,
( ! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0')))
| 'LE'(f(X0),s(s('0'))) )
| ~ spl0_23 ),
inference(resolution,[],[f8381,f7159]) ).
fof(f8400,plain,
( ! [X0] : 'LE'(f(X0),s(s('0')))
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f8391]) ).
fof(f8407,plain,
( spl0_24
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f8400,f1984,f2109]) ).
fof(f8572,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),s(s(s('0'))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X2)))) )
| ~ spl0_11 ),
inference(resolution,[],[f5910,f932]) ).
fof(f8573,plain,
( ! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) )
| ~ spl0_11 ),
inference(resolution,[],[f5910,f1548]) ).
fof(f8578,plain,
( ! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f8573,f5907]) ).
fof(f8579,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),s(s(s('0'))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X2)))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f8572,f5907]) ).
fof(f8580,plain,
( ! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| iLEQ(suc(X0),suc(X0)) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f8578,f5908]) ).
fof(f8581,plain,
( ! [X2,X0,X1] :
( 'LE'(f(X0),s(s(s('0'))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X2)))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f8579,f5908]) ).
fof(f10669,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(X1),suc(X0))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f1160,f5908]) ).
fof(f10673,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f10669,f5907]) ).
fof(f10674,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X0))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f10673,f5908]) ).
fof(f10678,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X2),suc(X0))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f10674,f5907]) ).
fof(f10679,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X2),suc(X0))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f10678,f5908]) ).
fof(f10683,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f10679,f5907]) ).
fof(f10688,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f10683,f8580]) ).
fof(f10699,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f10688]) ).
fof(f10711,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f10699,f8580]) ).
fof(f10722,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f10711]) ).
fof(f11836,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X2))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
| ~ 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f8581,f10722]) ).
fof(f11837,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f11836,f5910]) ).
fof(f11841,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11837,f5907]) ).
fof(f11842,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11841,f5908]) ).
fof(f11843,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11842,f10722]) ).
fof(f11844,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f11843,f5910]) ).
fof(f11848,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11844,f5907]) ).
fof(f11849,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11848,f5908]) ).
fof(f11850,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X2),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11849,f10722]) ).
fof(f11855,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0'))))
| 'LE'(f(X1),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f11850,f8580]) ).
fof(f11866,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f11855]) ).
fof(f11877,plain,
( ! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0'))))
| 'LE'(f(X0),s(s(s('0')))) )
| ~ spl0_11 ),
inference(resolution,[],[f11866,f8580]) ).
fof(f11888,plain,
( ! [X0] : 'LE'(f(X0),s(s(s('0'))))
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f11877]) ).
fof(f11896,plain,
( spl0_23
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f11888,f1728,f1984]) ).
fof(f15365,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X2),s(s(s(s('0'))))) ),
inference(resolution,[],[f809,f2016]) ).
fof(f15369,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X2),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f15365,f1598]) ).
fof(f15371,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f15369,f2016]) ).
fof(f15375,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f15371,f1598]) ).
fof(f15377,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ iLEQ(suc(X1),suc(X2))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f15375,f2016]) ).
fof(f15381,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f15377,f1598]) ).
fof(f15382,plain,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f15381,f5816]) ).
fof(f15397,plain,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f15382]) ).
fof(f15400,plain,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f15397,f5816]) ).
fof(f15415,plain,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f15400]) ).
fof(f17215,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X0))))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f5802,f15415]) ).
fof(f17217,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f17215,f2023]) ).
fof(f17222,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f17217,f15415]) ).
fof(f17223,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f17222,f1598]) ).
fof(f17224,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X2))))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f17223,f2016]) ).
fof(f17226,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f17224,f2023]) ).
fof(f17231,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f17226,f1598]) ).
fof(f17232,plain,
! [X2,X0,X1] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f17231,f2016]) ).
fof(f17233,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X2),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f17232,f15415]) ).
fof(f17234,plain,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f17233,f5816]) ).
fof(f17249,plain,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f17234]) ).
fof(f17252,plain,
! [X0] :
( 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f17249,f5816]) ).
fof(f17267,plain,
! [X0] : 'LE'(f(X0),s(s(s(s('0'))))),
inference(duplicate_literal_removal,[],[f17252]) ).
fof(f17270,plain,
spl0_11,
inference(avatar_split_clause,[],[f17267,f1728]) ).
cnf(s1710,plain,
~ spl0_7,
inference(sat_conversion,[],[f1716]) ).
cnf(s6812,plain,
( spl0_7
| ~ spl0_31 ),
inference(sat_conversion,[],[f6343]) ).
cnf(s7091,plain,
( ~ spl0_24
| spl0_31 ),
inference(sat_conversion,[],[f6882]) ).
cnf(s7876,plain,
( ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f8407]) ).
cnf(s9394,plain,
( ~ spl0_11
| spl0_23 ),
inference(sat_conversion,[],[f11896]) ).
cnf(s11724,plain,
spl0_11,
inference(sat_conversion,[],[f17270]) ).
cnf(s11725,plain,
spl0_23,
inference(rat,[],[s9394,s11724]) ).
cnf(s11736,plain,
spl0_24,
inference(rat,[],[s7876,s11725]) ).
cnf(s11742,plain,
spl0_31,
inference(rat,[],[s7091,s11736]) ).
cnf(s11749,plain,
spl0_7,
inference(rat,[],[s6812,s11742]) ).
cnf(s11774,plain,
$false,
inference(rat,[],[s1710,s11749]) ).
fof(f17271,plain,
$false,
inference(avatar_sat_refutation,[],[s11774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO688-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 18:10:15 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.83/1.61 % (4104680)Will run a generic schedule for satisfiability detection.
% 7.83/1.61 % (4104687)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2471476538:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 7.83/1.61 % (4104686)% WARNING: option uhcvi not known.
% 7.83/1.61 % (4104685)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1725583058_2998 on theBenchmark for (2998ds/0Mi)
% 7.83/1.61 % (4104686)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1027800249:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 7.83/1.61 % (4104688)dis+10_1_sil=32000:sp=arity:random_seed=3879751528:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 7.83/1.61 % (4104689)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4240641043:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 7.83/1.61 % (4104691)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2022656053:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 7.83/1.61 % (4104690)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=190292794:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 7.83/1.61 % (4104689)Instruction limit reached!
% 7.83/1.61 % (4104689)------------------------------
% 7.83/1.61 % (4104689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104689)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104689)Termination reason: Instruction limit
% 7.83/1.61 % (4104689)Termination phase: Blocked clause elimination
% 7.83/1.61 % (4104689)Time elapsed: 0.048 s
% 7.83/1.61 % (4104689)Peak memory usage: 12 MB
% 7.83/1.61 % (4104689)Instructions burned: 116 (million)
% 7.83/1.61 % (4104688)Instruction limit reached!
% 7.83/1.61 % (4104688)------------------------------
% 7.83/1.61 % (4104688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104688)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104688)Termination reason: Instruction limit
% 7.83/1.61 % (4104688)Termination phase: Saturation
% 7.83/1.61 % (4104688)Time elapsed: 0.056 s
% 7.83/1.61 % (4104688)Peak memory usage: 14 MB
% 7.83/1.61 % (4104688)Instructions burned: 103 (million)
% 7.83/1.61 % (4104699)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2290136996:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 7.83/1.61 % (4104690)Instruction limit reached!
% 7.83/1.61 % (4104690)------------------------------
% 7.83/1.61 % (4104690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104690)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104690)Termination reason: Instruction limit
% 7.83/1.61 % (4104690)Termination phase: Saturation
% 7.83/1.61 % (4104690)Time elapsed: 0.073 s
% 7.83/1.61 % (4104690)Peak memory usage: 14 MB
% 7.83/1.61 % (4104690)Instructions burned: 132 (million)
% 7.83/1.61 % (4104700)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=245179555:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 7.83/1.61 % (4104702)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3148463121:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 7.83/1.61 % (4104691)Instruction limit reached!
% 7.83/1.61 % (4104691)------------------------------
% 7.83/1.61 % (4104691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104691)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104691)Termination reason: Instruction limit
% 7.83/1.61 % (4104691)Termination phase: Saturation
% 7.83/1.61 % (4104691)Time elapsed: 0.095 s
% 7.83/1.61 % (4104691)Peak memory usage: 15 MB
% 7.83/1.61 % (4104691)Instructions burned: 160 (million)
% 7.83/1.61 % (4104705)ott-21_1_sil=16000:fs=off:random_seed=2189859448:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 7.83/1.61 % (4104700)Instruction limit reached!
% 7.83/1.61 % (4104700)------------------------------
% 7.83/1.61 % (4104700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104700)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104700)Termination reason: Instruction limit
% 7.83/1.61 % (4104700)Termination phase: Blocked clause elimination
% 7.83/1.61 % (4104700)Time elapsed: 0.056 s
% 7.83/1.61 % (4104700)Peak memory usage: 12 MB
% 7.83/1.61 % (4104700)Instructions burned: 133 (million)
% 7.83/1.61 % (4104707)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3166430863:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 7.83/1.61 % (4104705)Instruction limit reached!
% 7.83/1.61 % (4104705)------------------------------
% 7.83/1.61 % (4104705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104705)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104705)Termination reason: Instruction limit
% 7.83/1.61 % (4104705)Termination phase: Saturation
% 7.83/1.61 % (4104705)Time elapsed: 0.098 s
% 7.83/1.61 % (4104705)Peak memory usage: 14 MB
% 7.83/1.61 % (4104705)Instructions burned: 180 (million)
% 7.83/1.61 % (4104709)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3743355256:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.83/1.61 % (4104707)Instruction limit reached!
% 7.83/1.61 % (4104707)------------------------------
% 7.83/1.61 % (4104707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104707)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104707)Termination reason: Instruction limit
% 7.83/1.61 % (4104707)Termination phase: Saturation
% 7.83/1.61 % (4104707)Time elapsed: 0.229 s
% 7.83/1.61 % (4104707)Peak memory usage: 15 MB
% 7.83/1.61 % (4104707)Instructions burned: 477 (million)
% 7.83/1.61 % (4104699)Instruction limit reached!
% 7.83/1.61 % (4104699)------------------------------
% 7.83/1.61 % (4104699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104699)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104699)Termination reason: Instruction limit
% 7.83/1.61 % (4104699)Termination phase: Finite model building preprocessing
% 7.83/1.61 % (4104699)Time elapsed: 0.315 s
% 7.83/1.61 % (4104699)Peak memory usage: 18 MB
% 7.83/1.61 % (4104699)Instructions burned: 714 (million)
% 7.83/1.61 % (4104711)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2369121324:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 7.83/1.61 % (4104712)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3760882476:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.83/1.61 % (4104702)Instruction limit reached!
% 7.83/1.61 % (4104702)------------------------------
% 7.83/1.61 % (4104702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104702)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104702)Termination reason: Instruction limit
% 7.83/1.61 % (4104702)Termination phase: Saturation
% 7.83/1.61 % (4104702)Time elapsed: 0.328 s
% 7.83/1.61 % (4104702)Peak memory usage: 16 MB
% 7.83/1.61 % (4104702)Instructions burned: 685 (million)
% 7.83/1.61 % (4104715)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3100678959:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.83/1.61 % (4104709)Instruction limit reached!
% 7.83/1.61 % (4104709)------------------------------
% 7.83/1.61 % (4104709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104709)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104709)Termination reason: Instruction limit
% 7.83/1.61 % (4104709)Termination phase: Finite model building preprocessing
% 7.83/1.61 % (4104709)Time elapsed: 0.391 s
% 7.83/1.61 % (4104709)Peak memory usage: 20 MB
% 7.83/1.61 % (4104709)Instructions burned: 865 (million)
% 7.83/1.61 % (4104717)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2657529796:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 7.83/1.61 % (4104715)Instruction limit reached!
% 7.83/1.61 % (4104715)------------------------------
% 7.83/1.61 % (4104715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104715)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104715)Termination reason: Instruction limit
% 7.83/1.61 % (4104715)Termination phase: Saturation
% 7.83/1.61 % (4104715)Time elapsed: 0.352 s
% 7.83/1.61 % (4104715)Peak memory usage: 17 MB
% 7.83/1.61 % (4104715)Instructions burned: 693 (million)
% 7.83/1.61 % (4104712)Instruction limit reached!
% 7.83/1.61 % (4104712)------------------------------
% 7.83/1.61 % (4104712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104712)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104712)Termination reason: Instruction limit
% 7.83/1.61 % (4104712)Termination phase: Finite model building preprocessing
% 7.83/1.61 % (4104712)Time elapsed: 0.401 s
% 7.83/1.61 % (4104712)Peak memory usage: 20 MB
% 7.83/1.61 % (4104712)Instructions burned: 890 (million)
% 7.83/1.61 % (4104719)fmb+10_1_sil=64000:random_seed=1216358448:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 7.83/1.61 % (4104720)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1636493885:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.83/1.61 % (4104711)Instruction limit reached!
% 7.83/1.61 % (4104711)------------------------------
% 7.83/1.61 % (4104711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104711)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104711)Termination reason: Instruction limit
% 7.83/1.61 % (4104711)Termination phase: Saturation
% 7.83/1.61 % (4104711)Time elapsed: 0.657 s
% 7.83/1.61 % (4104711)Peak memory usage: 18 MB
% 7.83/1.61 % (4104711)Instructions burned: 1180 (million)
% 7.83/1.61 % (4104717)Instruction limit reached!
% 7.83/1.61 % (4104717)------------------------------
% 7.83/1.61 % (4104717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104717)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104717)Termination reason: Instruction limit
% 7.83/1.61 % (4104717)Termination phase: Saturation
% 7.83/1.61 % (4104717)Time elapsed: 0.426 s
% 7.83/1.61 % (4104717)Peak memory usage: 15 MB
% 7.83/1.61 % (4104717)Instructions burned: 880 (million)
% 7.83/1.61 % (4104723)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1069022665:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 7.83/1.61 % (4104724)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3526839272:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 7.83/1.61 % (4104687) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4104680-4104687"...
% 7.83/1.61 % (4104687)...printing done.
% 7.83/1.61 % (4104687)Refutation found. Thanks to Tanya!
% 7.83/1.61 % SZS status Unsatisfiable for theBenchmark
% 7.83/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 7.83/1.61 % (4104687)------------------------------
% 7.83/1.61 % (4104687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.61 % (4104687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.61 % (4104687)CaDiCaL version: 2.1.3
% 7.83/1.61 % (4104687)Termination reason: Refutation
% 7.83/1.61 % (4104687)Time elapsed: 1.195 s
% 7.83/1.61 % (4104687)Peak memory usage: 44 MB
% 7.83/1.61 % (4104687)Instructions burned: 3749 (million)
% 7.83/1.61 % (4104680)Success in time 1.373 s
% 7.83/1.61 % Vampire exiting
%------------------------------------------------------------------------------