TSTP Solution File: SYO689-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO689-1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:07:46 EDT 2024
% Result : Unsatisfiable 0.62s 0.82s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 49
% Syntax : Number of formulae : 293 ( 4 unt; 0 def)
% Number of atoms : 1538 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 2284 (1039 ~;1218 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 31 ( 30 usr; 28 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 257 ( 257 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f475,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f116,f127,f142,f157,f178,f208,f215,f218,f223,f225,f227,f230,f238,f243,f250,f265,f299,f310,f313,f314,f330,f344,f349,f353,f363,f376,f384,f389,f392,f400,f403,f404,f431,f447,f452,f465,f468,f474]) ).
fof(f474,plain,
( ~ spl0_12
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl0_12
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f472,f183]) ).
fof(f183,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl0_12
<=> 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f472,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ spl0_24 ),
inference(resolution,[],[f367,f25]) ).
fof(f25,plain,
! [X12] :
( ~ 'E'(s(s(s('0'))),f(suc(X12)))
| ~ 'E'(s(s(s('0'))),f(X12)) ),
inference(subsumption_resolution,[],[f18,f7]) ).
fof(f7,axiom,
! [X11,X16,X14,X15,X12,X13] :
( ~ 'E'(s(s(s('0'))),f(suc(X15)))
| ~ iLEQ(suc(X11),suc(X16))
| ~ iLEQ(suc(X14),suc(X13))
| ~ 'E'(s(s(s('0'))),f(suc(X11)))
| ~ 'E'(s(s(s('0'))),f(suc(X13)))
| ~ 'E'(s(s(s('0'))),f(X15))
| ~ 'E'(s(s(s('0'))),f(suc(X16)))
| ~ iLEQ(suc(X16),suc(X15))
| ~ iLEQ(suc(X12),suc(X11))
| ~ 'E'(s(s(s('0'))),f(X16))
| ~ 'E'(s(s(s('0'))),f(suc(X14)))
| ~ 'E'(s(s(s('0'))),f(X12))
| ~ iLEQ(suc(X15),suc(X14))
| ~ 'E'(s(s(s('0'))),f(X14))
| ~ 'E'(s(s(s('0'))),f(X13))
| ~ 'E'(s(s(s('0'))),f(suc(X12)))
| ~ 'E'(s(s(s('0'))),f(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_657) ).
fof(f18,axiom,
! [X12] :
( iLEQ(suc(X12),suc(X12))
| ~ 'E'(s(s(s('0'))),f(suc(X12)))
| ~ 'E'(s(s(s('0'))),f(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2227) ).
fof(f367,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl0_24
<=> 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f468,plain,
( spl0_12
| spl0_25
| spl0_6
| spl0_26 ),
inference(avatar_split_clause,[],[f467,f373,f105,f369,f181]) ).
fof(f369,plain,
( spl0_25
<=> 'E'(s(s('0')),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f105,plain,
( spl0_6
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f373,plain,
( spl0_26
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f467,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_6
| spl0_26 ),
inference(subsumption_resolution,[],[f466,f106]) ).
fof(f106,plain,
( ~ 'E'('0',f(suc(z)))
| spl0_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f466,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_26 ),
inference(subsumption_resolution,[],[f164,f374]) ).
fof(f374,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| spl0_26 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f164,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f93,f11]) ).
fof(f11,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1092) ).
fof(f93,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(suc(suc(X0)))))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f56,f22]) ).
fof(f22,axiom,
! [X17] :
( ~ 'LE'(f(suc(X17)),s('0'))
| 'E'('0',f(suc(X17)))
| 'LE'(f(X17),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_113) ).
fof(f56,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(suc(X0)))) ),
inference(resolution,[],[f46,f19]) ).
fof(f19,axiom,
! [X9] :
( ~ 'LE'(f(suc(X9)),s(s('0')))
| 'E'(s('0'),f(suc(X9)))
| 'LE'(f(X9),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1440) ).
fof(f46,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f43,f6]) ).
fof(f6,axiom,
! [X10] :
( ~ 'LE'(f(suc(X10)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X10)))
| 'LE'(f(X10),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_388) ).
fof(f43,plain,
! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f42,f12]) ).
fof(f12,axiom,
! [X19] :
( ~ 'LE'(f(X19),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X19))
| 'LE'(f(X19),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1230) ).
fof(f42,plain,
! [X0] : 'LE'(f(X0),s(s(s(s('0'))))),
inference(subsumption_resolution,[],[f40,f24]) ).
fof(f24,plain,
! [X30] :
( 'LE'(f(X30),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X30)) ),
inference(subsumption_resolution,[],[f17,f4]) ).
fof(f4,axiom,
! [X8] : 'LE'(f(X8),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_583) ).
fof(f17,axiom,
! [X30] :
( 'LE'(f(X30),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X30))
| ~ 'LE'(f(X30),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2115) ).
fof(f40,plain,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(X0))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f38,f26]) ).
fof(f26,plain,
! [X30] :
( 'E'(s(s(s(s('0')))),f(suc(X30)))
| 'LE'(f(X30),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f20,f4]) ).
fof(f20,axiom,
! [X30] :
( 'LE'(f(X30),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(suc(X30)))
| ~ 'LE'(f(suc(X30)),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2050) ).
fof(f38,plain,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
inference(resolution,[],[f36,f1]) ).
fof(f1,axiom,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1581) ).
fof(f36,plain,
! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(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(X0))) ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),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(X0))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
inference(resolution,[],[f34,f1]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ iLEQ(suc(X0),suc(X2)) ),
inference(duplicate_literal_removal,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(X2)) ),
inference(resolution,[],[f32,f1]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(X3))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s(s(s(s('0')))),f(suc(X3))) ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(X3))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s(s(s(s('0')))),f(suc(X3)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(X1)) ),
inference(resolution,[],[f30,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(X4))
| ~ 'E'(s(s(s(s('0')))),f(X3))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0))) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X1))
| ~ 'E'(s(s(s(s('0')))),f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s(s(s('0')))),f(X2))
| ~ 'E'(s(s(s(s('0')))),f(X4))
| ~ 'E'(s(s(s(s('0')))),f(X3))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s(s(s(s('0')))),f(suc(X4)))
| ~ 'E'(s(s(s(s('0')))),f(X4))
| ~ 'E'(s(s(s(s('0')))),f(suc(X4)))
| ~ 'E'(s(s(s(s('0')))),f(X4)) ),
inference(resolution,[],[f14,f1]) ).
fof(f14,axiom,
! [X28,X0,X29,X26,X27,X25] :
( ~ iLEQ(suc(X27),suc(X25))
| ~ 'E'(s(s(s(s('0')))),f(suc(X28)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(suc(X26)))
| ~ iLEQ(suc(X0),suc(X26))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X29)))
| ~ iLEQ(suc(X28),suc(X29))
| ~ 'E'(s(s(s(s('0')))),f(X26))
| ~ 'E'(s(s(s(s('0')))),f(X27))
| ~ 'E'(s(s(s(s('0')))),f(X29))
| ~ 'E'(s(s(s(s('0')))),f(X28))
| ~ 'E'(s(s(s(s('0')))),f(suc(X27)))
| ~ iLEQ(suc(X25),suc(X28))
| ~ iLEQ(suc(X26),suc(X27))
| ~ 'E'(s(s(s(s('0')))),f(suc(X25)))
| ~ 'E'(s(s(s(s('0')))),f(X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1514) ).
fof(f465,plain,
( ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f463,f187]) ).
fof(f187,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl0_13
<=> 'E'(s(s('0')),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f463,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f462,f371]) ).
fof(f371,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f462,plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(resolution,[],[f460,f432]) ).
fof(f432,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_13
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f414,f187]) ).
fof(f414,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_25 ),
inference(resolution,[],[f371,f2]) ).
fof(f2,axiom,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| iLEQ(suc(X1),suc(X1))
| ~ 'E'(s(s('0')),f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1218) ).
fof(f460,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f459,f187]) ).
fof(f459,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f458,f371]) ).
fof(f458,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(resolution,[],[f456,f432]) ).
fof(f456,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f455,f371]) ).
fof(f455,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f454,f187]) ).
fof(f454,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_28 ),
inference(resolution,[],[f422,f432]) ).
fof(f422,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl0_28
<=> ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f452,plain,
( spl0_28
| ~ spl0_13
| ~ spl0_25
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f451,f429,f369,f185,f421]) ).
fof(f429,plain,
( spl0_30
<=> ! [X4,X0,X3,X2] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f450,f371]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f449,f187]) ).
fof(f449,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_30 ),
inference(resolution,[],[f430,f432]) ).
fof(f430,plain,
( ! [X2,X3,X0,X4] :
( ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X2))) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f447,plain,
( ~ spl0_13
| ~ spl0_25
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f446,plain,
( $false
| ~ spl0_13
| ~ spl0_25
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f445,f371]) ).
fof(f445,plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_13
| ~ spl0_25
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f443,f187]) ).
fof(f443,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_13
| ~ spl0_25
| ~ spl0_29 ),
inference(resolution,[],[f427,f432]) ).
fof(f427,plain,
( ! [X1] :
( ~ iLEQ(suc(suc(suc(z))),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl0_29
<=> ! [X1] :
( ~ iLEQ(suc(suc(suc(z))),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f431,plain,
( spl0_29
| spl0_30
| ~ spl0_13
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f424,f369,f185,f429,f426]) ).
fof(f424,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(suc(suc(z))),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X4),suc(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_13
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f413,f187]) ).
fof(f413,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(suc(suc(z))),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X4),suc(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_25 ),
inference(resolution,[],[f371,f21]) ).
fof(f21,axiom,
! [X31,X1,X34,X35,X32,X33] :
( ~ 'E'(s(s('0')),f(suc(X33)))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X33),suc(X35))
| ~ 'E'(s(s('0')),f(suc(X35)))
| ~ iLEQ(suc(X31),suc(X33))
| ~ 'E'(s(s('0')),f(suc(X31)))
| ~ iLEQ(suc(X1),suc(X32))
| ~ 'E'(s(s('0')),f(X35))
| ~ iLEQ(suc(X34),suc(X31))
| ~ 'E'(s(s('0')),f(X32))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X32),suc(X34))
| ~ 'E'(s(s('0')),f(suc(X34)))
| ~ 'E'(s(s('0')),f(X34))
| ~ 'E'(s(s('0')),f(X33))
| ~ 'E'(s(s('0')),f(suc(X32)))
| ~ 'E'(s(s('0')),f(X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1712) ).
fof(f404,plain,
( ~ spl0_13
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f331,f245,f240,f109,f185]) ).
fof(f109,plain,
( spl0_7
<=> 'E'(s(s('0')),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f240,plain,
( spl0_15
<=> iLEQ(suc(suc(z)),suc(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f245,plain,
( spl0_16
<=> ! [X1] :
( ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f331,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f246,f242]) ).
fof(f242,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f246,plain,
( ! [X1] :
( ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f403,plain,
( spl0_13
| spl0_26
| spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f402,f181,f105,f373,f185]) ).
fof(f402,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z))))
| spl0_6
| spl0_12 ),
inference(subsumption_resolution,[],[f401,f182]) ).
fof(f182,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_12 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f401,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_6 ),
inference(subsumption_resolution,[],[f163,f106]) ).
fof(f163,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f90,f11]) ).
fof(f90,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f52,f22]) ).
fof(f52,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f47,f19]) ).
fof(f47,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f44,f9]) ).
fof(f9,axiom,
! [X10] :
( ~ 'LE'(f(X10),s(s(s('0'))))
| 'E'(s(s('0')),f(X10))
| 'LE'(f(X10),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1314) ).
fof(f44,plain,
! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f42,f16]) ).
fof(f16,axiom,
! [X19] :
( ~ 'LE'(f(suc(X19)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X19)))
| 'LE'(f(X19),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1935) ).
fof(f400,plain,
( spl0_13
| spl0_8
| spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f399,f181,f105,f113,f185]) ).
fof(f113,plain,
( spl0_8
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f399,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| spl0_6
| spl0_12 ),
inference(subsumption_resolution,[],[f398,f182]) ).
fof(f398,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_6 ),
inference(subsumption_resolution,[],[f162,f106]) ).
fof(f162,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f70,f11]) ).
fof(f70,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f57,f22]) ).
fof(f57,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f48,f5]) ).
fof(f5,axiom,
! [X9] :
( ~ 'LE'(f(X9),s(s('0')))
| 'E'(s('0'),f(X9))
| 'LE'(f(X9),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_740) ).
fof(f48,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f44,f6]) ).
fof(f392,plain,
( spl0_9
| spl0_8
| spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f391,f185,f105,f113,f129]) ).
fof(f129,plain,
( spl0_9
<=> 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f391,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_6
| spl0_13 ),
inference(subsumption_resolution,[],[f390,f106]) ).
fof(f390,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_13 ),
inference(subsumption_resolution,[],[f159,f186]) ).
fof(f186,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| spl0_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f159,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
inference(resolution,[],[f66,f11]) ).
fof(f66,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f55,f22]) ).
fof(f55,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f46,f5]) ).
fof(f389,plain,
( ~ spl0_8
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f386,f373,f113]) ).
fof(f386,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_26 ),
inference(resolution,[],[f375,f23]) ).
fof(f23,plain,
! [X7] :
( ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(X7)) ),
inference(subsumption_resolution,[],[f15,f3]) ).
fof(f3,axiom,
! [X2,X3,X6,X7,X4,X5] :
( ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X7))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ iLEQ(suc(X3),suc(X6))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X7),suc(X2))
| ~ iLEQ(suc(X2),suc(X5))
| ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(X6))
| ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_327) ).
fof(f15,axiom,
! [X7] :
( iLEQ(suc(X7),suc(X7))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1329) ).
fof(f375,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f384,plain,
( spl0_6
| spl0_26
| spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f383,f185,f129,f373,f105]) ).
fof(f383,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f382,f130]) ).
fof(f130,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_9 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f382,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_13 ),
inference(subsumption_resolution,[],[f161,f186]) ).
fof(f161,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
inference(resolution,[],[f68,f11]) ).
fof(f68,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f50,f22]) ).
fof(f50,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f45,f19]) ).
fof(f45,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f43,f9]) ).
fof(f376,plain,
( spl0_24
| spl0_6
| spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f165,f373,f369,f105,f365]) ).
fof(f165,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z)))))) ),
inference(resolution,[],[f96,f11]) ).
fof(f96,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(suc(suc(X0)))))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(suc(X0)))))) ),
inference(resolution,[],[f58,f22]) ).
fof(f58,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(suc(X0)))) ),
inference(resolution,[],[f48,f19]) ).
fof(f363,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f360,f101,f73]) ).
fof(f73,plain,
( spl0_1
<=> 'E'(s(s(s('0'))),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f101,plain,
( spl0_5
<=> 'E'(s(s(s('0'))),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f360,plain,
( ~ 'E'(s(s(s('0'))),f(z))
| ~ spl0_5 ),
inference(resolution,[],[f103,f25]) ).
fof(f103,plain,
( 'E'(s(s(s('0'))),f(suc(z)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f353,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f351,f195]) ).
fof(f195,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl0_14
<=> iLEQ(suc(z),suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f351,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f350,f83]) ).
fof(f83,plain,
( 'E'(s(s('0')),f(z))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_3
<=> 'E'(s(s('0')),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f350,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f340,f111]) ).
fof(f111,plain,
( 'E'(s(s('0')),f(suc(z)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f340,plain,
( ! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(z)) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl0_21
<=> ! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(z)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f349,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f347,f83]) ).
fof(f347,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f346,f195]) ).
fof(f346,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ spl0_7
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f345,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ spl0_7
| ~ spl0_22 ),
inference(resolution,[],[f343,f111]) ).
fof(f343,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl0_22
<=> ! [X0] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(suc(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f344,plain,
( spl0_21
| spl0_22
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f337,f258,f193,f109,f81,f342,f339]) ).
fof(f258,plain,
( spl0_19
<=> ! [X4,X0,X3,X2] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s(s('0')),f(suc(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f337,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f336,f83]) ).
fof(f336,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_19 ),
inference(resolution,[],[f335,f111]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(z))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f334,f195]) ).
fof(f334,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(z))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f333,f83]) ).
fof(f333,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(z))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[],[f259,f111]) ).
fof(f259,plain,
( ! [X2,X3,X0,X4] :
( ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f330,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f328,f195]) ).
fof(f328,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f327,f83]) ).
fof(f327,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_7
| ~ spl0_18 ),
inference(resolution,[],[f256,f111]) ).
fof(f256,plain,
( ! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(z),suc(X1)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_18
<=> ! [X1] :
( ~ iLEQ(suc(z),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f314,plain,
( ~ spl0_3
| spl0_14
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f252,f109,f193,f81]) ).
fof(f252,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ spl0_7 ),
inference(resolution,[],[f111,f2]) ).
fof(f313,plain,
( spl0_12
| spl0_8
| spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f312,f185,f77,f113,f181]) ).
fof(f77,plain,
( spl0_2
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f312,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_2
| spl0_13 ),
inference(subsumption_resolution,[],[f311,f78]) ).
fof(f78,plain,
( ~ 'E'('0',f(z))
| spl0_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f311,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_13 ),
inference(subsumption_resolution,[],[f160,f186]) ).
fof(f160,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f95,f11]) ).
fof(f95,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f58,f8]) ).
fof(f8,axiom,
! [X17] :
( ~ 'LE'(f(X17),s('0'))
| 'E'('0',f(X17))
| 'LE'(f(X17),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_328) ).
fof(f310,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f308,f131]) ).
fof(f131,plain,
( 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f308,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ spl0_12 ),
inference(resolution,[],[f183,f25]) ).
fof(f299,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f297,f111]) ).
fof(f297,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f296,f187]) ).
fof(f296,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f294,f242]) ).
fof(f294,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f293,f187]) ).
fof(f293,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f292,f111]) ).
fof(f292,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f290,f242]) ).
fof(f290,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f289,f187]) ).
fof(f289,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f288,f111]) ).
fof(f288,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f286,f242]) ).
fof(f286,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f285,f187]) ).
fof(f285,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(suc(z)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(suc(z)))) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f284,f111]) ).
fof(f284,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(suc(z)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(suc(z)))) )
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f249,f242]) ).
fof(f249,plain,
( ! [X2,X3,X0,X4] :
( ~ iLEQ(suc(X2),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X2))) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_17
<=> ! [X4,X0,X3,X2] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f265,plain,
( ~ spl0_3
| spl0_18
| spl0_19
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f251,f109,f258,f255,f81]) ).
fof(f251,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(z),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X4),suc(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_7 ),
inference(resolution,[],[f111,f21]) ).
fof(f250,plain,
( ~ spl0_7
| spl0_16
| spl0_17
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f210,f185,f248,f245,f109]) ).
fof(f210,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X4),suc(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_13 ),
inference(resolution,[],[f187,f21]) ).
fof(f243,plain,
( ~ spl0_7
| spl0_15
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f211,f185,f240,f109]) ).
fof(f211,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_13 ),
inference(resolution,[],[f187,f2]) ).
fof(f238,plain,
( spl0_7
| spl0_2
| spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f237,f113,f101,f77,f109]) ).
fof(f237,plain,
( 'E'(s(s('0')),f(suc(z)))
| spl0_2
| spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f236,f102]) ).
fof(f102,plain,
( ~ 'E'(s(s(s('0'))),f(suc(z)))
| spl0_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f236,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(z)))
| spl0_2
| spl0_8 ),
inference(subsumption_resolution,[],[f235,f78]) ).
fof(f235,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(z)))
| spl0_8 ),
inference(subsumption_resolution,[],[f97,f114]) ).
fof(f114,plain,
( ~ 'E'(s('0'),f(suc(z)))
| spl0_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f97,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(z))) ),
inference(resolution,[],[f67,f11]) ).
fof(f67,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f50,f8]) ).
fof(f230,plain,
( spl0_5
| spl0_4
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f229,f109,f77,f85,f101]) ).
fof(f85,plain,
( spl0_4
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f229,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s(s('0'))),f(suc(z)))
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f228,f78]) ).
fof(f228,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(z)))
| spl0_7 ),
inference(subsumption_resolution,[],[f94,f110]) ).
fof(f110,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| spl0_7 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f94,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(z))) ),
inference(resolution,[],[f65,f11]) ).
fof(f65,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f55,f8]) ).
fof(f227,plain,
( spl0_5
| spl0_3
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f226,f77,f85,f81,f101]) ).
fof(f226,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(z))
| 'E'(s(s(s('0'))),f(suc(z)))
| spl0_2 ),
inference(subsumption_resolution,[],[f91,f78]) ).
fof(f91,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(z))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(z))) ),
inference(resolution,[],[f63,f11]) ).
fof(f63,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(X0))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f51,f8]) ).
fof(f51,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f47,f5]) ).
fof(f225,plain,
( spl0_9
| spl0_4
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f224,f109,f77,f85,f129]) ).
fof(f224,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f202,f78]) ).
fof(f202,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_7 ),
inference(subsumption_resolution,[],[f98,f110]) ).
fof(f98,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
inference(resolution,[],[f69,f11]) ).
fof(f69,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f57,f8]) ).
fof(f223,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f220,f113,f85]) ).
fof(f220,plain,
( ~ 'E'(s('0'),f(z))
| ~ spl0_8 ),
inference(resolution,[],[f115,f23]) ).
fof(f115,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f218,plain,
( spl0_9
| spl0_8
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f217,f109,f77,f113,f129]) ).
fof(f217,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f216,f78]) ).
fof(f216,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_7 ),
inference(subsumption_resolution,[],[f117,f110]) ).
fof(f117,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
inference(resolution,[],[f89,f11]) ).
fof(f89,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f52,f8]) ).
fof(f215,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f213,f103]) ).
fof(f213,plain,
( ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ spl0_9 ),
inference(resolution,[],[f131,f25]) ).
fof(f208,plain,
( spl0_9
| spl0_13
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f207,f113,f77,f185,f129]) ).
fof(f207,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_2
| spl0_8 ),
inference(subsumption_resolution,[],[f189,f78]) ).
fof(f189,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_8 ),
inference(subsumption_resolution,[],[f158,f114]) ).
fof(f158,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
inference(resolution,[],[f92,f11]) ).
fof(f92,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f56,f8]) ).
fof(f178,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f176,f79]) ).
fof(f79,plain,
( 'E'('0',f(z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f176,plain,
( ~ 'E'('0',f(z))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f175,f143]) ).
fof(f143,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f134,f79]) ).
fof(f134,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ spl0_6 ),
inference(resolution,[],[f107,f10]) ).
fof(f10,axiom,
! [X18] :
( ~ 'E'('0',f(suc(X18)))
| iLEQ(suc(X18),suc(X18))
| ~ 'E'('0',f(X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2293) ).
fof(f107,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f175,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f174,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f173,f107]) ).
fof(f173,plain,
( ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f172,f143]) ).
fof(f172,plain,
( ! [X0] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f171,f79]) ).
fof(f171,plain,
( ! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f170,f107]) ).
fof(f170,plain,
( ! [X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X1),suc(z))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f169,f79]) ).
fof(f169,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f168,f107]) ).
fof(f168,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(z),suc(X1)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f167,f79]) ).
fof(f167,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(X1)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f166,f143]) ).
fof(f166,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(X1)) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f141,f107]) ).
fof(f141,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(z),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X2),suc(X0)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_11
<=> ! [X0,X3,X2,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X2),suc(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f157,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f156,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f155,f79]) ).
fof(f155,plain,
( ~ 'E'('0',f(z))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f154,f143]) ).
fof(f154,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f138,f107]) ).
fof(f138,plain,
( ! [X4] :
( ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X4),suc(z))
| ~ 'E'('0',f(X4)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl0_10
<=> ! [X4] :
( ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X4),suc(z))
| ~ 'E'('0',f(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f142,plain,
( spl0_10
| spl0_11
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f135,f105,f77,f140,f137]) ).
fof(f135,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X4))
| ~ iLEQ(suc(X4),suc(z))
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(X1)) )
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f133,f79]) ).
fof(f133,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(X4))
| ~ iLEQ(suc(X4),suc(z))
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(X1)) )
| ~ spl0_6 ),
inference(resolution,[],[f107,f13]) ).
fof(f13,axiom,
! [X21,X18,X24,X22,X23,X20] :
( ~ 'E'('0',f(suc(X21)))
| ~ iLEQ(suc(X23),suc(X20))
| ~ 'E'('0',f(X22))
| ~ 'E'('0',f(suc(X23)))
| ~ 'E'('0',f(suc(X20)))
| ~ iLEQ(suc(X22),suc(X23))
| ~ iLEQ(suc(X20),suc(X24))
| ~ 'E'('0',f(X24))
| ~ 'E'('0',f(suc(X24)))
| ~ 'E'('0',f(suc(X18)))
| ~ 'E'('0',f(X23))
| ~ 'E'('0',f(X21))
| ~ 'E'('0',f(X18))
| ~ iLEQ(suc(X18),suc(X21))
| ~ 'E'('0',f(suc(X22)))
| ~ iLEQ(suc(X21),suc(X22))
| ~ 'E'('0',f(X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_421) ).
fof(f127,plain,
( ~ spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| ~ spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f125,f103]) ).
fof(f125,plain,
( ~ 'E'(s(s(s('0'))),f(suc(z)))
| spl0_6
| spl0_7
| spl0_8 ),
inference(resolution,[],[f123,f25]) ).
fof(f123,plain,
( 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_6
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f122,f106]) ).
fof(f122,plain,
( 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f121,f110]) ).
fof(f121,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| spl0_8 ),
inference(subsumption_resolution,[],[f120,f114]) ).
fof(f120,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
inference(resolution,[],[f64,f11]) ).
fof(f64,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f51,f22]) ).
fof(f116,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f99,f113,f109,f105,f101]) ).
fof(f99,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(z))) ),
inference(resolution,[],[f60,f11]) ).
fof(f60,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f49,f22]) ).
fof(f49,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(X0))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f45,f5]) ).
fof(f88,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f71,f85,f81,f77,f73]) ).
fof(f71,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(z))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(z)) ),
inference(resolution,[],[f59,f11]) ).
fof(f59,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(X0))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f49,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SYO689-1 : TPTP v8.2.0. Released v7.3.0.
% 0.08/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 09:02:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.79 % (18421)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.62/0.79 % (18421)Refutation not found, incomplete strategy% (18421)------------------------------
% 0.62/0.79 % (18421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (18421)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (18421)Memory used [KB]: 1022
% 0.62/0.79 % (18421)Time elapsed: 0.001 s
% 0.62/0.79 % (18421)Instructions burned: 2 (million)
% 0.62/0.79 % (18419)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.79 % (18416)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.79 % (18421)------------------------------
% 0.62/0.79 % (18421)------------------------------
% 0.62/0.79 % (18415)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.62/0.79 % (18417)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.79 % (18418)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.79 % (18420)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.62/0.79 % (18419)Refutation not found, incomplete strategy% (18419)------------------------------
% 0.62/0.79 % (18419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (18419)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (18419)Memory used [KB]: 1022
% 0.62/0.79 % (18419)Time elapsed: 0.002 s
% 0.62/0.79 % (18416)Refutation not found, incomplete strategy% (18416)------------------------------
% 0.62/0.79 % (18416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (18416)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (18416)Memory used [KB]: 1022
% 0.62/0.79 % (18416)Time elapsed: 0.002 s
% 0.62/0.79 % (18416)Instructions burned: 2 (million)
% 0.62/0.79 % (18419)Instructions burned: 2 (million)
% 0.62/0.79 % (18417)Refutation not found, incomplete strategy% (18417)------------------------------
% 0.62/0.79 % (18417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (18417)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (18417)Memory used [KB]: 1022
% 0.62/0.79 % (18417)Time elapsed: 0.002 s
% 0.62/0.79 % (18417)Instructions burned: 2 (million)
% 0.62/0.79 % (18419)------------------------------
% 0.62/0.79 % (18419)------------------------------
% 0.62/0.79 % (18416)------------------------------
% 0.62/0.79 % (18416)------------------------------
% 0.62/0.79 % (18420)Refutation not found, incomplete strategy% (18420)------------------------------
% 0.62/0.79 % (18420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (18417)------------------------------
% 0.62/0.79 % (18417)------------------------------
% 0.62/0.79 % (18420)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (18420)Memory used [KB]: 1022
% 0.62/0.79 % (18420)Time elapsed: 0.003 s
% 0.62/0.79 % (18420)Instructions burned: 2 (million)
% 0.62/0.79 % (18420)------------------------------
% 0.62/0.79 % (18420)------------------------------
% 0.62/0.79 % (18418)Refutation not found, incomplete strategy% (18418)------------------------------
% 0.62/0.79 % (18418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (18418)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (18418)Memory used [KB]: 1024
% 0.62/0.79 % (18418)Time elapsed: 0.003 s
% 0.62/0.79 % (18418)Instructions burned: 3 (million)
% 0.62/0.79 % (18418)------------------------------
% 0.62/0.79 % (18418)------------------------------
% 0.62/0.80 % (18422)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.62/0.80 % (18414)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.80 % (18422)Refutation not found, incomplete strategy% (18422)------------------------------
% 0.62/0.80 % (18422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18422)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18422)Memory used [KB]: 1045
% 0.62/0.80 % (18422)Time elapsed: 0.002 s
% 0.62/0.80 % (18422)Instructions burned: 4 (million)
% 0.62/0.80 % (18414)Refutation not found, incomplete strategy% (18414)------------------------------
% 0.62/0.80 % (18414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18414)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18422)------------------------------
% 0.62/0.80 % (18422)------------------------------
% 0.62/0.80 % (18414)Memory used [KB]: 1022
% 0.62/0.80 % (18414)Time elapsed: 0.004 s
% 0.62/0.80 % (18414)Instructions burned: 2 (million)
% 0.62/0.80 % (18423)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.62/0.80 % (18414)------------------------------
% 0.62/0.80 % (18414)------------------------------
% 0.62/0.80 % (18425)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.62/0.80 % (18426)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.62/0.80 % (18425)Refutation not found, incomplete strategy% (18425)------------------------------
% 0.62/0.80 % (18425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18425)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18425)Memory used [KB]: 1022
% 0.62/0.80 % (18425)Time elapsed: 0.002 s
% 0.62/0.80 % (18425)Instructions burned: 2 (million)
% 0.62/0.80 % (18426)Refutation not found, incomplete strategy% (18426)------------------------------
% 0.62/0.80 % (18426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18426)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18425)------------------------------
% 0.62/0.80 % (18425)------------------------------
% 0.62/0.80 % (18426)Memory used [KB]: 1022
% 0.62/0.80 % (18426)Time elapsed: 0.002 s
% 0.62/0.80 % (18426)Instructions burned: 2 (million)
% 0.62/0.80 % (18427)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.62/0.80 % (18426)------------------------------
% 0.62/0.80 % (18426)------------------------------
% 0.62/0.80 % (18428)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.62/0.80 % (18427)Refutation not found, incomplete strategy% (18427)------------------------------
% 0.62/0.80 % (18427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18427)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18427)Memory used [KB]: 1028
% 0.62/0.80 % (18427)Time elapsed: 0.003 s
% 0.62/0.80 % (18427)Instructions burned: 2 (million)
% 0.62/0.80 % (18428)Refutation not found, incomplete strategy% (18428)------------------------------
% 0.62/0.80 % (18428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18428)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18428)Memory used [KB]: 1023
% 0.62/0.80 % (18428)Time elapsed: 0.001 s
% 0.62/0.80 % (18428)Instructions burned: 2 (million)
% 0.62/0.80 % (18424)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.62/0.80 % (18428)------------------------------
% 0.62/0.80 % (18428)------------------------------
% 0.62/0.80 % (18427)------------------------------
% 0.62/0.80 % (18427)------------------------------
% 0.62/0.80 % (18424)Refutation not found, incomplete strategy% (18424)------------------------------
% 0.62/0.80 % (18424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18424)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18424)Memory used [KB]: 1022
% 0.62/0.80 % (18424)Time elapsed: 0.002 s
% 0.62/0.80 % (18424)Instructions burned: 2 (million)
% 0.62/0.80 % (18424)------------------------------
% 0.62/0.80 % (18424)------------------------------
% 0.62/0.80 % (18429)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.62/0.80 % (18430)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.62/0.80 % (18431)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.62/0.80 % (18433)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.62/0.80 % (18432)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.62/0.80 % (18432)Refutation not found, incomplete strategy% (18432)------------------------------
% 0.62/0.80 % (18432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (18432)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (18432)Memory used [KB]: 1024
% 0.62/0.80 % (18432)Time elapsed: 0.003 s
% 0.62/0.80 % (18432)Instructions burned: 2 (million)
% 0.62/0.80 % (18432)------------------------------
% 0.62/0.80 % (18432)------------------------------
% 0.62/0.81 % (18434)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.62/0.81 % (18434)Refutation not found, incomplete strategy% (18434)------------------------------
% 0.62/0.81 % (18434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (18434)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (18434)Memory used [KB]: 1022
% 0.62/0.81 % (18434)Time elapsed: 0.004 s
% 0.62/0.81 % (18434)Instructions burned: 2 (million)
% 0.62/0.81 % (18434)------------------------------
% 0.62/0.81 % (18434)------------------------------
% 0.62/0.81 % (18423)Refutation not found, incomplete strategy% (18423)------------------------------
% 0.62/0.81 % (18423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (18423)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (18423)Memory used [KB]: 1051
% 0.62/0.81 % (18423)Time elapsed: 0.013 s
% 0.62/0.81 % (18423)Instructions burned: 33 (million)
% 0.62/0.81 % (18423)------------------------------
% 0.62/0.81 % (18423)------------------------------
% 0.62/0.81 % (18435)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.62/0.81 % (18429)First to succeed.
% 0.62/0.81 % (18435)Refutation not found, incomplete strategy% (18435)------------------------------
% 0.62/0.81 % (18435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (18437)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.62/0.81 % (18435)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (18435)Memory used [KB]: 1027
% 0.62/0.81 % (18435)Time elapsed: 0.004 s
% 0.62/0.81 % (18435)Instructions burned: 4 (million)
% 0.62/0.81 % (18435)------------------------------
% 0.62/0.81 % (18435)------------------------------
% 0.62/0.82 % (18429)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18413"
% 0.62/0.82 % (18429)Refutation found. Thanks to Tanya!
% 0.62/0.82 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.82 % (18429)------------------------------
% 0.62/0.82 % (18429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (18429)Termination reason: Refutation
% 0.62/0.82
% 0.62/0.82 % (18429)Memory used [KB]: 1274
% 0.62/0.82 % (18429)Time elapsed: 0.014 s
% 0.62/0.82 % (18429)Instructions burned: 53 (million)
% 0.62/0.82 % (18413)Success in time 0.422 s
% 0.62/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------