TSTP Solution File: SYO683-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO683-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n006.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 : Wed Aug 31 19:48:58 EDT 2022
% Result : Unsatisfiable 1.96s 0.68s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 47
% Syntax : Number of formulae : 320 ( 3 unt; 0 def)
% Number of atoms : 1796 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 2856 (1380 ~;1447 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 33 ( 32 usr; 30 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 284 ( 284 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f589,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f68,f76,f84,f91,f102,f109,f123,f128,f129,f131,f161,f178,f197,f222,f223,f236,f245,f251,f292,f317,f347,f353,f354,f367,f370,f378,f388,f401,f414,f421,f425,f430,f452,f528,f536,f538,f540,f554,f561,f574,f579,f588]) ).
fof(f588,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| spl0_20 ),
inference(subsumption_resolution,[],[f586,f185]) ).
fof(f185,plain,
( ~ iLEQ(suc(z),suc(z))
| spl0_20 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl0_20
<=> iLEQ(suc(z),suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f586,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f563,f55]) ).
fof(f55,plain,
( 'E'(s(s('0')),f(z))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_3
<=> 'E'(s(s('0')),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f563,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ spl0_6 ),
inference(resolution,[],[f75,f4]) ).
fof(f4,axiom,
! [X3] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'(s(s('0')),f(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
fof(f75,plain,
( 'E'(s(s('0')),f(suc(z)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_6
<=> 'E'(s(s('0')),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f579,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f577,f186]) ).
fof(f186,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f577,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f576,f55]) ).
fof(f576,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_6
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f575,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_6
| ~ spl0_16 ),
inference(resolution,[],[f157,f75]) ).
fof(f157,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_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl0_16
<=> ! [X0] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X0),suc(z)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f574,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f573,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f572,f186]) ).
fof(f572,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f571,f55]) ).
fof(f571,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(resolution,[],[f570,f75]) ).
fof(f570,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f569,f186]) ).
fof(f569,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f568,f55]) ).
fof(f568,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z)) )
| ~ spl0_6
| ~ spl0_17 ),
inference(resolution,[],[f160,f75]) ).
fof(f160,plain,
( ! [X2,X1] :
( ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(z))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_17
<=> ! [X2,X1] :
( ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f561,plain,
( spl0_4
| spl0_9
| spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f560,f45,f73,f99,f57]) ).
fof(f57,plain,
( spl0_4
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f99,plain,
( spl0_9
<=> 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f45,plain,
( spl0_1
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f560,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(z))
| spl0_1 ),
inference(subsumption_resolution,[],[f85,f46]) ).
fof(f46,plain,
( ~ 'E'('0',f(z))
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f85,plain,
( 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'('0',f(z))
| 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(suc(z))) ),
inference(resolution,[],[f41,f9]) ).
fof(f9,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_287) ).
fof(f41,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f31,f17]) ).
fof(f17,axiom,
! [X11] :
( ~ 'LE'(f(X11),s('0'))
| 'LE'(f(X11),'0')
| 'E'('0',f(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_89) ).
fof(f31,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f26,f15]) ).
fof(f15,axiom,
! [X16] :
( ~ 'LE'(f(X16),s(s('0')))
| 'LE'(f(X16),s('0'))
| 'E'(s('0'),f(X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_44) ).
fof(f26,plain,
! [X1] :
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(X1)))) ),
inference(resolution,[],[f24,f6]) ).
fof(f6,axiom,
! [X9] :
( ~ 'LE'(f(suc(X9)),s(s(s('0'))))
| 'LE'(f(X9),s(s('0')))
| 'E'(s(s('0')),f(suc(X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_476) ).
fof(f24,plain,
! [X10] :
( 'LE'(f(X10),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(suc(X10))) ),
inference(subsumption_resolution,[],[f8,f3]) ).
fof(f3,axiom,
! [X2] : 'LE'(f(X2),s(s(s(s('0'))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_451) ).
fof(f8,axiom,
! [X10] :
( 'E'(s(s(s('0'))),f(suc(X10)))
| 'LE'(f(X10),s(s(s('0'))))
| ~ 'LE'(f(suc(X10)),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_443) ).
fof(f554,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f552,f186]) ).
fof(f552,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f551,f59]) ).
fof(f59,plain,
( 'E'(s('0'),f(z))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f551,plain,
( ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(resolution,[],[f550,f83]) ).
fof(f83,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_7
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f550,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f549,f186]) ).
fof(f549,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(suc(X0))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f548,f59]) ).
fof(f548,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f142,f83]) ).
fof(f142,plain,
( ! [X3,X1] :
( ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X3)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_15
<=> ! [X1,X3] :
( ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s('0'),f(suc(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f540,plain,
( spl0_14
| spl0_15
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f394,f81,f57,f141,f138]) ).
fof(f138,plain,
( spl0_14
<=> ! [X2,X0] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(z),suc(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f394,plain,
( ! [X2,X3,X1,X4] :
( ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X4),suc(z))
| ~ iLEQ(suc(X3),suc(X1))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(z),suc(X3))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X4))) )
| ~ spl0_7 ),
inference(resolution,[],[f83,f18]) ).
fof(f18,axiom,
! [X21,X1,X24,X22,X23] :
( ~ 'E'(s('0'),f(suc(X24)))
| ~ 'E'(s('0'),f(X24))
| ~ 'E'(s('0'),f(suc(X22)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X21),suc(X22))
| ~ 'E'(s('0'),f(suc(X21)))
| ~ iLEQ(suc(X24),suc(X21))
| ~ 'E'(s('0'),f(X22))
| ~ iLEQ(suc(X23),suc(X24))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X23))
| ~ 'E'(s('0'),f(X23))
| ~ 'E'(s('0'),f(suc(X23)))
| ~ 'E'(s('0'),f(X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_151) ).
fof(f538,plain,
( spl0_8
| spl0_13
| spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f537,f120,f106,f125,f88]) ).
fof(f88,plain,
( spl0_8
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f125,plain,
( spl0_13
<=> 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f106,plain,
( spl0_10
<=> 'E'(s(s('0')),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f120,plain,
( spl0_12
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f537,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| spl0_12 ),
inference(subsumption_resolution,[],[f150,f121]) ).
fof(f121,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| spl0_12 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f150,plain,
( 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z)))) ),
inference(resolution,[],[f62,f9]) ).
fof(f62,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(suc(X1))))
| 'E'('0',f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'(s(s('0')),f(suc(suc(X1)))) ),
inference(resolution,[],[f28,f10]) ).
fof(f10,axiom,
! [X11] :
( ~ 'LE'(f(suc(X11)),s('0'))
| 'LE'(f(X11),'0')
| 'E'('0',f(suc(X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_547) ).
fof(f28,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(X1)))) ),
inference(resolution,[],[f25,f14]) ).
fof(f14,axiom,
! [X16] :
( ~ 'LE'(f(suc(X16)),s(s('0')))
| 'E'(s('0'),f(suc(X16)))
| 'LE'(f(X16),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_222) ).
fof(f25,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f24,f7]) ).
fof(f7,axiom,
! [X9] :
( ~ 'LE'(f(X9),s(s(s('0'))))
| 'LE'(f(X9),s(s('0')))
| 'E'(s(s('0')),f(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_97) ).
fof(f536,plain,
( ~ spl0_4
| spl0_20
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f395,f81,f184,f57]) ).
fof(f395,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl0_7 ),
inference(resolution,[],[f83,f2]) ).
fof(f2,axiom,
! [X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| iLEQ(suc(X1),suc(X1))
| ~ 'E'(s('0'),f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_398) ).
fof(f528,plain,
( ~ spl0_13
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f526,f221]) ).
fof(f221,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl0_24
<=> 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f526,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f525,f127]) ).
fof(f127,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f525,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f524,f483]) ).
fof(f483,plain,
( iLEQ(suc(suc(suc(suc(z)))),suc(suc(suc(suc(z)))))
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f468,f127]) ).
fof(f468,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| iLEQ(suc(suc(suc(suc(z)))),suc(suc(suc(suc(z)))))
| ~ spl0_24 ),
inference(resolution,[],[f221,f13]) ).
fof(f13,axiom,
! [X8] :
( ~ 'E'(s(s(s('0'))),f(suc(X8)))
| iLEQ(suc(X8),suc(X8))
| ~ 'E'(s(s(s('0'))),f(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_59) ).
fof(f524,plain,
( ! [X0] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f523,f127]) ).
fof(f523,plain,
( ! [X0] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) )
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f522,f221]) ).
fof(f522,plain,
( ! [X0] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) )
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f521,f483]) ).
fof(f521,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X0),suc(X1)) )
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f520,f221]) ).
fof(f520,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1)) )
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f519,f127]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) )
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f518,f483]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X2))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(X0),suc(X1)) )
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f517,f221]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ iLEQ(suc(suc(suc(suc(z)))),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) )
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f516,f127]) ).
fof(f516,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(suc(suc(suc(z)))),suc(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ 'E'(s(s(s('0'))),f(X1)) )
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f472,f483]) ).
fof(f472,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 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(suc(X3)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s(s(s('0'))),f(suc(X2))) )
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f467,f127]) ).
fof(f467,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X3))) )
| ~ spl0_24 ),
inference(resolution,[],[f221,f5]) ).
fof(f5,axiom,
! [X8,X6,X7,X4,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X8)))
| ~ iLEQ(suc(X8),suc(X4))
| ~ 'E'(s(s(s('0'))),f(X7))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(suc(X7)))
| ~ 'E'(s(s(s('0'))),f(X6))
| ~ iLEQ(suc(X6),suc(X7))
| ~ iLEQ(suc(X4),suc(X6))
| ~ iLEQ(suc(X7),suc(X5))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(s(s(s('0'))),f(X8))
| ~ 'E'(s(s(s('0'))),f(suc(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_560) ).
fof(f452,plain,
( ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f450,f108]) ).
fof(f108,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f450,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f449,f217]) ).
fof(f217,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl0_23
<=> 'E'(s(s('0')),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f449,plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(resolution,[],[f448,f429]) ).
fof(f429,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl0_43
<=> iLEQ(suc(suc(suc(z))),suc(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f448,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f447,f217]) ).
fof(f447,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f446,f108]) ).
fof(f446,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(resolution,[],[f445,f429]) ).
fof(f445,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(X0)) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f444,f217]) ).
fof(f444,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f443,f108]) ).
fof(f443,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(resolution,[],[f442,f429]) ).
fof(f442,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f441,f108]) ).
fof(f441,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X2),suc(suc(suc(z)))) )
| ~ spl0_23
| ~ spl0_42
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f440,f217]) ).
fof(f440,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_42
| ~ spl0_43 ),
inference(resolution,[],[f424,f429]) ).
fof(f424,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X3))) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl0_42
<=> ! [X0,X3,X2,X1] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f430,plain,
( ~ spl0_10
| spl0_43
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f403,f215,f427,f106]) ).
fof(f403,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_23 ),
inference(resolution,[],[f217,f4]) ).
fof(f425,plain,
( ~ spl0_10
| spl0_42
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f402,f215,f423,f106]) ).
fof(f402,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_23 ),
inference(resolution,[],[f217,f11]) ).
fof(f11,axiom,
! [X3,X14,X15,X12,X13] :
( ~ 'E'(s(s('0')),f(suc(X15)))
| ~ 'E'(s(s('0')),f(suc(X14)))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X13),suc(X15))
| ~ 'E'(s(s('0')),f(X15))
| ~ iLEQ(suc(X14),suc(X12))
| ~ iLEQ(suc(X12),suc(X13))
| ~ 'E'(s(s('0')),f(suc(X13)))
| ~ 'E'(s(s('0')),f(X12))
| ~ 'E'(s(s('0')),f(X14))
| ~ iLEQ(suc(X3),suc(X14))
| ~ 'E'(s(s('0')),f(suc(X12)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_563) ).
fof(f421,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f420,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f419,f122]) ).
fof(f122,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f419,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f418,f83]) ).
fof(f418,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_39 ),
inference(resolution,[],[f417,f331]) ).
fof(f331,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl0_35
<=> iLEQ(suc(suc(z)),suc(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f417,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0))) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f416,f83]) ).
fof(f416,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(z))) )
| ~ spl0_12
| ~ spl0_35
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f415,f122]) ).
fof(f415,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(z))) )
| ~ spl0_35
| ~ spl0_39 ),
inference(resolution,[],[f376,f331]) ).
fof(f376,plain,
( ! [X2,X4] :
( ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ iLEQ(suc(X2),suc(X4)) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f375,plain,
( spl0_39
<=> ! [X4,X2] :
( ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s('0'),f(suc(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f414,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f412,f122]) ).
fof(f412,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f411,f83]) ).
fof(f411,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_38 ),
inference(resolution,[],[f410,f331]) ).
fof(f410,plain,
( ! [X0] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0))) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_35
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f409,f122]) ).
fof(f409,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ iLEQ(suc(suc(z)),suc(X0)) )
| ~ spl0_7
| ~ spl0_35
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f408,f83]) ).
fof(f408,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(z)))) )
| ~ spl0_35
| ~ spl0_38 ),
inference(resolution,[],[f373,f331]) ).
fof(f373,plain,
( ! [X3,X1] :
( ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X3),suc(X1))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X3))) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl0_38
<=> ! [X1,X3] :
( ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X1))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f401,plain,
( spl0_39
| spl0_38
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f400,f120,f81,f372,f375]) ).
fof(f400,plain,
( ! [X2,X3,X1,X4] :
( ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X3),suc(X1)) )
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f397,f83]) ).
fof(f397,plain,
( ! [X2,X3,X1,X4] :
( ~ 'E'(s('0'),f(X4))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X1))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(X1))) )
| ~ spl0_12 ),
inference(resolution,[],[f122,f18]) ).
fof(f388,plain,
( spl0_8
| spl0_7
| spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f387,f125,f106,f81,f88]) ).
fof(f387,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| spl0_10
| spl0_13 ),
inference(subsumption_resolution,[],[f355,f126]) ).
fof(f126,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f355,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_10 ),
inference(subsumption_resolution,[],[f133,f107]) ).
fof(f107,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| spl0_10 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f133,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z)))) ),
inference(resolution,[],[f42,f9]) ).
fof(f42,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f31,f10]) ).
fof(f378,plain,
( spl0_35
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f226,f120,f81,f329]) ).
fof(f226,plain,
( ~ 'E'(s('0'),f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_12 ),
inference(resolution,[],[f122,f2]) ).
fof(f370,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_20 ),
inference(subsumption_resolution,[],[f368,f185]) ).
fof(f368,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_1
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f358,f47]) ).
fof(f47,plain,
( 'E'('0',f(z))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f358,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ spl0_8 ),
inference(resolution,[],[f90,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_469) ).
fof(f90,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f367,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f366,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f365,f47]) ).
fof(f365,plain,
( ~ 'E'('0',f(z))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f364,f90]) ).
fof(f364,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_20 ),
inference(resolution,[],[f363,f186]) ).
fof(f363,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f362,f47]) ).
fof(f362,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f361,f90]) ).
fof(f361,plain,
( ! [X0] :
( ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(X0)) )
| ~ spl0_11
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f360,f186]) ).
fof(f360,plain,
( ! [X0] :
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(z)) )
| ~ spl0_11
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f359]) ).
fof(f359,plain,
( ! [X0] :
( ~ 'E'('0',f(z))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(z)) )
| ~ spl0_11
| ~ spl0_20 ),
inference(resolution,[],[f115,f186]) ).
fof(f115,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X1),suc(X2)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_11
<=> ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f354,plain,
( ~ spl0_8
| ~ spl0_1
| spl0_11
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f190,f184,f114,f45,f88]) ).
fof(f190,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'('0',f(suc(X2))) )
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f189]) ).
fof(f189,plain,
( ! [X2,X0,X1] :
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(X0))) )
| ~ spl0_20 ),
inference(resolution,[],[f186,f16]) ).
fof(f16,axiom,
! [X0,X18,X19,X17,X20] :
( ~ iLEQ(suc(X20),suc(X19))
| ~ iLEQ(suc(X18),suc(X20))
| ~ iLEQ(suc(X0),suc(X17))
| ~ 'E'('0',f(suc(X17)))
| ~ 'E'('0',f(suc(X19)))
| ~ 'E'('0',f(X18))
| ~ 'E'('0',f(X17))
| ~ 'E'('0',f(suc(X18)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X20))
| ~ 'E'('0',f(suc(X20)))
| ~ 'E'('0',f(X19))
| ~ iLEQ(suc(X17),suc(X18))
| ~ 'E'('0',f(suc(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_442) ).
fof(f353,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl0_9
| ~ spl0_13
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f351,f101]) ).
fof(f101,plain,
( 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f351,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ spl0_9
| ~ spl0_13
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f350,f264]) ).
fof(f264,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f262,f101]) ).
fof(f262,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_13 ),
inference(resolution,[],[f127,f13]) ).
fof(f350,plain,
( ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ spl0_13
| ~ spl0_32 ),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f349,plain,
( ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_13
| ~ spl0_32 ),
inference(resolution,[],[f307,f127]) ).
fof(f307,plain,
( ! [X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ iLEQ(suc(suc(suc(z))),suc(X5))
| ~ iLEQ(suc(X5),suc(suc(suc(z)))) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl0_32
<=> ! [X5] :
( ~ 'E'(s(s(s('0'))),f(X5))
| ~ iLEQ(suc(suc(suc(z))),suc(X5))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ iLEQ(suc(X5),suc(suc(suc(z)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f347,plain,
( spl0_32
| spl0_32
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f346,f125,f99,f306,f306]) ).
fof(f346,plain,
( ! [X2,X3] :
( ~ 'E'(s(s(s('0'))),f(X3))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(suc(suc(z))),suc(X3))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ iLEQ(suc(X3),suc(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(X3))) )
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f345,f101]) ).
fof(f345,plain,
( ! [X2,X3] :
( ~ iLEQ(suc(X3),suc(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(X3))
| ~ iLEQ(suc(X2),suc(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X2))) )
| ~ spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f284,f127]) ).
fof(f284,plain,
( ! [X8,X6,X7] :
( ~ 'E'(s(s(s('0'))),f(suc(X8)))
| ~ 'E'(s(s(s('0'))),f(X8))
| ~ 'E'(s(s(s('0'))),f(X7))
| ~ iLEQ(suc(X8),suc(X6))
| ~ 'E'(s(s(s('0'))),f(X6))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| ~ iLEQ(suc(X6),suc(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(X7))
| ~ 'E'(s(s(s('0'))),f(suc(X7)))
| ~ iLEQ(suc(X7),suc(X8)) )
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f282,f101]) ).
fof(f282,plain,
( ! [X8,X6,X7] :
( ~ 'E'(s(s(s('0'))),f(suc(X7)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(X6))
| ~ 'E'(s(s(s('0'))),f(X7))
| ~ iLEQ(suc(suc(suc(z))),suc(X7))
| ~ 'E'(s(s(s('0'))),f(X8))
| ~ iLEQ(suc(X7),suc(X8))
| ~ iLEQ(suc(X8),suc(X6))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(suc(X8)))
| ~ iLEQ(suc(X6),suc(suc(suc(z)))) )
| ~ spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f263,f127]) ).
fof(f263,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(suc(suc(z))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X0),suc(X2)) )
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f261,f101]) ).
fof(f261,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(suc(suc(z))),suc(X0))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ '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(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_13 ),
inference(resolution,[],[f127,f5]) ).
fof(f317,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f315,f258]) ).
fof(f258,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f256,f67]) ).
fof(f67,plain,
( 'E'(s(s(s('0'))),f(suc(z)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_5
<=> 'E'(s(s(s('0'))),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f256,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ spl0_9 ),
inference(resolution,[],[f101,f13]) ).
fof(f315,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f314,f67]) ).
fof(f314,plain,
( ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_9
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f312]) ).
fof(f312,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_9
| ~ spl0_29 ),
inference(resolution,[],[f291,f101]) ).
fof(f291,plain,
( ! [X3] :
( ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ iLEQ(suc(X3),suc(suc(z))) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl0_29
<=> ! [X3] :
( ~ iLEQ(suc(X3),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(suc(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f292,plain,
( spl0_29
| spl0_29
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f288,f99,f65,f290,f290]) ).
fof(f288,plain,
( ! [X2,X3] :
( ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(suc(z)),suc(X2))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ iLEQ(suc(suc(z)),suc(X3)) )
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f286,f67]) ).
fof(f286,plain,
( ! [X2,X3] :
( ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ iLEQ(suc(suc(z)),suc(X2)) )
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f279,f101]) ).
fof(f279,plain,
( ! [X3,X4,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(suc(X4)))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ iLEQ(suc(X3),suc(X5))
| ~ 'E'(s(s(s('0'))),f(suc(X3))) )
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f276,f67]) ).
fof(f276,plain,
( ! [X3,X4,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ iLEQ(suc(X3),suc(X5))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ 'E'(s(s(s('0'))),f(suc(X4)))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(suc(z))) )
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f257,f101]) ).
fof(f257,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f255,f67]) ).
fof(f255,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(X3)) )
| ~ spl0_9 ),
inference(resolution,[],[f101,f5]) ).
fof(f251,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f250,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f249,f200]) ).
fof(f200,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f199,f75]) ).
fof(f199,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_10 ),
inference(resolution,[],[f108,f4]) ).
fof(f249,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f248,f75]) ).
fof(f248,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_10
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f247]) ).
fof(f247,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_10
| ~ spl0_25 ),
inference(resolution,[],[f232,f108]) ).
fof(f232,plain,
( ! [X3] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X3)) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl0_25
<=> ! [X3] :
( ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(suc(z)),suc(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f245,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f243,f75]) ).
fof(f243,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f242,f200]) ).
fof(f242,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f241,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_26 ),
inference(resolution,[],[f239,f108]) ).
fof(f239,plain,
( ! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ iLEQ(suc(X1),suc(suc(z))) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f238,f75]) ).
fof(f238,plain,
( ! [X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_10
| ~ spl0_26 ),
inference(resolution,[],[f235,f108]) ).
fof(f235,plain,
( ! [X4,X5] :
( ~ 'E'(s(s('0')),f(suc(X5)))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X5))
| ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4))) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_26
<=> ! [X4,X5] :
( ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'(s(s('0')),f(X5))
| ~ 'E'(s(s('0')),f(suc(X5)))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f236,plain,
( spl0_25
| spl0_26
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f229,f106,f73,f234,f231]) ).
fof(f229,plain,
( ! [X3,X4,X5] :
( ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X5)))
| ~ 'E'(s(s('0')),f(X5)) )
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f228,f75]) ).
fof(f228,plain,
( ! [X3,X4,X5] :
( ~ 'E'(s(s('0')),f(X5))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(suc(X5))) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f201,f108]) ).
fof(f201,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(X3)) )
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f198,f75]) ).
fof(f198,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X3)) )
| ~ spl0_10 ),
inference(resolution,[],[f108,f11]) ).
fof(f223,plain,
( spl0_12
| spl0_8
| spl0_23
| spl0_13 ),
inference(avatar_split_clause,[],[f151,f125,f215,f88,f120]) ).
fof(f151,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f70,f9]) ).
fof(f70,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(suc(X1)))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'(s('0'),f(suc(suc(X1)))) ),
inference(resolution,[],[f30,f10]) ).
fof(f30,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f21,f14]) ).
fof(f21,plain,
! [X1] :
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(X1))) ),
inference(resolution,[],[f19,f6]) ).
fof(f19,plain,
! [X10] :
( 'LE'(f(X10),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X10)) ),
inference(subsumption_resolution,[],[f12,f3]) ).
fof(f12,axiom,
! [X10] :
( 'LE'(f(X10),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X10))
| ~ 'LE'(f(X10),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_539) ).
fof(f222,plain,
( spl0_12
| spl0_23
| spl0_24
| spl0_8 ),
inference(avatar_split_clause,[],[f152,f88,f219,f215,f120]) ).
fof(f152,plain,
( 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f78,f9]) ).
fof(f78,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s(s('0')),f(suc(suc(suc(X1)))))
| 'E'('0',f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(suc(X1))))))
| 'E'(s('0'),f(suc(suc(X1)))) ),
inference(resolution,[],[f32,f10]) ).
fof(f32,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(X1)))) ),
inference(resolution,[],[f26,f14]) ).
fof(f197,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f195,f186]) ).
fof(f195,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f194,f59]) ).
fof(f194,plain,
( ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(resolution,[],[f193,f83]) ).
fof(f193,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f192,f186]) ).
fof(f192,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(suc(X0))) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f191,f59]) ).
fof(f191,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f139,f83]) ).
fof(f139,plain,
( ! [X2,X0] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(X2)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f178,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f176,f51]) ).
fof(f51,plain,
( 'E'(s(s(s('0'))),f(z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_2
<=> 'E'(s(s(s('0'))),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f176,plain,
( ~ 'E'(s(s(s('0'))),f(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f175,f94]) ).
fof(f94,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f93,f51]) ).
fof(f93,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ spl0_5 ),
inference(resolution,[],[f67,f13]) ).
fof(f175,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f174,plain,
( ~ 'E'(s(s(s('0'))),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f173,f67]) ).
fof(f173,plain,
( ! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f172,f94]) ).
fof(f172,plain,
( ! [X0] :
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f171,f51]) ).
fof(f171,plain,
( ! [X0] :
( ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f170,f67]) ).
fof(f170,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X1)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f169,f94]) ).
fof(f169,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f168,f51]) ).
fof(f168,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(z))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'(s(s(s('0'))),f(X1)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f167,f67]) ).
fof(f167,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(z))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X1)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f166,f51]) ).
fof(f166,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(z),suc(X1))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X2),suc(z))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(X2))) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f95,f67]) ).
fof(f95,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f92,f51]) ).
fof(f92,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s(s('0'))),f(z))
| ~ 'E'(s(s(s('0'))),f(suc(X2)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1))) )
| ~ spl0_5 ),
inference(resolution,[],[f67,f5]) ).
fof(f161,plain,
( spl0_16
| spl0_17
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f154,f73,f53,f159,f156]) ).
fof(f154,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(z))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f153,f55]) ).
fof(f153,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f149,f75]) ).
fof(f149,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X2))) )
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f147,f55]) ).
fof(f147,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(z)) )
| ~ spl0_6 ),
inference(resolution,[],[f75,f11]) ).
fof(f131,plain,
( spl0_7
| spl0_9
| spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f103,f45,f106,f99,f81]) ).
fof(f103,plain,
( 'E'('0',f(z))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f69,f9]) ).
fof(f69,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f30,f17]) ).
fof(f129,plain,
( spl0_7
| spl0_9
| spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f96,f73,f45,f99,f81]) ).
fof(f96,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f61,f9]) ).
fof(f61,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f28,f17]) ).
fof(f128,plain,
( spl0_10
| spl0_13
| spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f117,f81,f45,f125,f106]) ).
fof(f117,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'(s(s('0')),f(suc(suc(z)))) ),
inference(resolution,[],[f77,f9]) ).
fof(f77,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f32,f17]) ).
fof(f123,plain,
( spl0_8
| spl0_10
| spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f118,f120,f99,f106,f88]) ).
fof(f118,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f40,f9]) ).
fof(f40,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(suc(X1)))) ),
inference(resolution,[],[f23,f10]) ).
fof(f23,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(X1))) ),
inference(resolution,[],[f20,f14]) ).
fof(f20,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s(s('0'))),f(X0))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f19,f7]) ).
fof(f109,plain,
( spl0_9
| spl0_8
| spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f104,f81,f106,f88,f99]) ).
fof(f104,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,[],[f38,f9]) ).
fof(f38,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f29,f10]) ).
fof(f29,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f21,f15]) ).
fof(f102,plain,
( spl0_7
| spl0_8
| spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f97,f73,f99,f88,f81]) ).
fof(f97,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f36,f9]) ).
fof(f36,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s(s('0')),f(suc(X1))) ),
inference(resolution,[],[f27,f10]) ).
fof(f27,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f25,f15]) ).
fof(f91,plain,
( spl0_7
| spl0_5
| spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f86,f88,f73,f65,f81]) ).
fof(f86,plain,
( 'E'('0',f(suc(z)))
| 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(z)))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f34,f9]) ).
fof(f34,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(X1))) ),
inference(resolution,[],[f22,f10]) ).
fof(f22,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0))
| 'E'(s(s(s('0'))),f(X0))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f20,f15]) ).
fof(f84,plain,
( spl0_1
| spl0_7
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f79,f73,f65,f81,f45]) ).
fof(f79,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(z)))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,[],[f39,f9]) ).
fof(f39,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s('0'),f(suc(X0)))
| 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f23,f17]) ).
fof(f76,plain,
( spl0_4
| spl0_1
| spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f71,f65,f73,f45,f57]) ).
fof(f71,plain,
( 'E'(s(s(s('0'))),f(suc(z)))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s('0'),f(z)) ),
inference(resolution,[],[f37,f9]) ).
fof(f37,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f29,f17]) ).
fof(f68,plain,
( spl0_5
| spl0_1
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f63,f53,f57,f45,f65]) ).
fof(f63,plain,
( 'E'(s(s('0')),f(z))
| 'E'(s('0'),f(z))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(z))) ),
inference(resolution,[],[f35,f9]) ).
fof(f35,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s('0')),f(X0))
| 'E'(s('0'),f(X0))
| 'E'('0',f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f27,f17]) ).
fof(f60,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f43,f57,f53,f49,f45]) ).
fof(f43,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(z))
| 'E'(s(s(s('0'))),f(z))
| 'E'('0',f(z)) ),
inference(resolution,[],[f33,f9]) ).
fof(f33,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s(s('0')),f(X0))
| 'E'(s(s(s('0'))),f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f22,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO683-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 23:10:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 % (23527)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.47 % (23535)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.47 % (23535)Instruction limit reached!
% 0.20/0.47 % (23535)------------------------------
% 0.20/0.47 % (23535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (23535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (23535)Termination reason: Unknown
% 0.20/0.49 % (23535)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (23535)Memory used [KB]: 5884
% 0.20/0.49 % (23535)Time elapsed: 0.004 s
% 0.20/0.49 % (23535)Instructions burned: 3 (million)
% 0.20/0.49 % (23535)------------------------------
% 0.20/0.49 % (23535)------------------------------
% 0.20/0.49 % (23526)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.50 % (23526)Refutation not found, incomplete strategy% (23526)------------------------------
% 0.20/0.50 % (23526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (23526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (23526)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (23526)Memory used [KB]: 5756
% 0.20/0.50 % (23526)Time elapsed: 0.004 s
% 0.20/0.50 % (23526)Instructions burned: 1 (million)
% 0.20/0.50 % (23526)------------------------------
% 0.20/0.50 % (23526)------------------------------
% 0.20/0.51 % (23543)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.51 % (23527)Instruction limit reached!
% 0.20/0.51 % (23527)------------------------------
% 0.20/0.51 % (23527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23551)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (23551)Refutation not found, incomplete strategy% (23551)------------------------------
% 0.20/0.51 % (23551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23551)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (23551)Memory used [KB]: 5756
% 0.20/0.51 % (23527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23551)Time elapsed: 0.004 s
% 0.20/0.51 % (23551)Instructions burned: 1 (million)
% 0.20/0.51 % (23527)Termination reason: Unknown
% 0.20/0.51 % (23527)Termination phase: Saturation
% 0.20/0.51 % (23551)------------------------------
% 0.20/0.51 % (23551)------------------------------
% 0.20/0.51
% 0.20/0.52 % (23527)Memory used [KB]: 6012
% 0.20/0.52 % (23527)Time elapsed: 0.115 s
% 0.20/0.52 % (23527)Instructions burned: 26 (million)
% 0.20/0.52 % (23527)------------------------------
% 0.20/0.52 % (23527)------------------------------
% 0.20/0.52 % (23543)Refutation not found, incomplete strategy% (23543)------------------------------
% 0.20/0.52 % (23543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23543)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (23543)Memory used [KB]: 5756
% 0.20/0.52 % (23543)Time elapsed: 0.004 s
% 0.20/0.52 % (23543)Instructions burned: 1 (million)
% 0.20/0.52 % (23543)------------------------------
% 0.20/0.52 % (23543)------------------------------
% 1.30/0.52 % (23542)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.30/0.53 % (23544)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.30/0.53 % (23544)Refutation not found, incomplete strategy% (23544)------------------------------
% 1.30/0.53 % (23544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (23544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (23544)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53
% 1.30/0.53 % (23544)Memory used [KB]: 5756
% 1.30/0.53 % (23544)Time elapsed: 0.002 s
% 1.30/0.53 % (23544)Instructions burned: 3 (million)
% 1.30/0.53 % (23544)------------------------------
% 1.30/0.53 % (23544)------------------------------
% 1.30/0.53 % (23534)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.30/0.53 % (23542)Instruction limit reached!
% 1.30/0.53 % (23542)------------------------------
% 1.30/0.53 % (23542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54 % (23536)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.30/0.54 % (23542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54 % (23542)Termination reason: Unknown
% 1.30/0.54 % (23542)Termination phase: Saturation
% 1.30/0.54
% 1.30/0.54 % (23542)Memory used [KB]: 1407
% 1.30/0.54 % (23542)Time elapsed: 0.008 s
% 1.30/0.54 % (23542)Instructions burned: 8 (million)
% 1.30/0.54 % (23542)------------------------------
% 1.30/0.54 % (23542)------------------------------
% 1.49/0.54 % (23523)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.49/0.54 % (23524)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.49/0.55 % (23522)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.49/0.55 % (23524)Refutation not found, incomplete strategy% (23524)------------------------------
% 1.49/0.55 % (23524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (23524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (23524)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.55
% 1.49/0.55 % (23524)Memory used [KB]: 5884
% 1.49/0.55 % (23524)Time elapsed: 0.003 s
% 1.49/0.55 % (23524)Instructions burned: 1 (million)
% 1.49/0.55 % (23524)------------------------------
% 1.49/0.55 % (23524)------------------------------
% 1.49/0.55 % (23534)Instruction limit reached!
% 1.49/0.55 % (23534)------------------------------
% 1.49/0.55 % (23534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (23534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (23534)Termination reason: Unknown
% 1.49/0.55 % (23534)Termination phase: Saturation
% 1.49/0.55
% 1.49/0.55 % (23534)Memory used [KB]: 5884
% 1.49/0.55 % (23534)Time elapsed: 0.133 s
% 1.49/0.55 % (23534)Instructions burned: 6 (million)
% 1.49/0.55 % (23534)------------------------------
% 1.49/0.55 % (23534)------------------------------
% 1.49/0.55 % (23547)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.49/0.55 % (23547)Refutation not found, incomplete strategy% (23547)------------------------------
% 1.49/0.55 % (23547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (23547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (23547)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.55
% 1.49/0.55 % (23547)Memory used [KB]: 5756
% 1.49/0.55 % (23547)Time elapsed: 0.002 s
% 1.49/0.55 % (23547)Instructions burned: 1 (million)
% 1.49/0.55 % (23547)------------------------------
% 1.49/0.55 % (23547)------------------------------
% 1.49/0.55 % (23550)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.49/0.55 % (23550)Refutation not found, incomplete strategy% (23550)------------------------------
% 1.49/0.55 % (23550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (23545)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.49/0.55 % (23533)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.49/0.55 % (23545)Refutation not found, incomplete strategy% (23545)------------------------------
% 1.49/0.55 % (23545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (23545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (23545)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.55
% 1.49/0.55 % (23545)Memory used [KB]: 5884
% 1.49/0.55 % (23545)Time elapsed: 0.002 s
% 1.49/0.55 % (23545)Instructions burned: 1 (million)
% 1.49/0.55 % (23545)------------------------------
% 1.49/0.55 % (23545)------------------------------
% 1.49/0.55 % (23546)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.49/0.55 % (23528)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.49/0.55 % (23539)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.49/0.56 % (23525)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.49/0.56 % (23525)Refutation not found, incomplete strategy% (23525)------------------------------
% 1.49/0.56 % (23525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (23525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (23525)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (23525)Memory used [KB]: 5756
% 1.49/0.56 % (23525)Time elapsed: 0.002 s
% 1.49/0.56 % (23525)Instructions burned: 2 (million)
% 1.49/0.56 % (23525)------------------------------
% 1.49/0.56 % (23525)------------------------------
% 1.49/0.56 % (23537)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.49/0.56 % (23531)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.56 % (23531)Refutation not found, incomplete strategy% (23531)------------------------------
% 1.49/0.56 % (23531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (23532)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.49/0.56 % (23531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (23531)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (23531)Memory used [KB]: 5756
% 1.49/0.56 % (23531)Time elapsed: 0.002 s
% 1.49/0.56 % (23531)Instructions burned: 2 (million)
% 1.49/0.56 % (23531)------------------------------
% 1.49/0.56 % (23531)------------------------------
% 1.49/0.56 % (23538)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.56 % (23549)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.49/0.56 % (23532)Refutation not found, incomplete strategy% (23532)------------------------------
% 1.49/0.56 % (23532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (23532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (23532)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (23532)Memory used [KB]: 5884
% 1.49/0.56 % (23532)Time elapsed: 0.152 s
% 1.49/0.56 % (23532)Instructions burned: 2 (million)
% 1.49/0.56 % (23532)------------------------------
% 1.49/0.56 % (23532)------------------------------
% 1.49/0.56 % (23549)Refutation not found, incomplete strategy% (23549)------------------------------
% 1.49/0.56 % (23549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (23549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (23549)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (23549)Memory used [KB]: 1279
% 1.49/0.56 % (23549)Time elapsed: 0.001 s
% 1.49/0.56 % (23549)------------------------------
% 1.49/0.56 % (23549)------------------------------
% 1.49/0.56 % (23538)Refutation not found, incomplete strategy% (23538)------------------------------
% 1.49/0.56 % (23538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (23538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (23538)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (23538)Memory used [KB]: 5756
% 1.49/0.56 % (23538)Time elapsed: 0.002 s
% 1.49/0.56 % (23538)Instructions burned: 1 (million)
% 1.49/0.56 % (23538)------------------------------
% 1.49/0.56 % (23538)------------------------------
% 1.49/0.56 % (23523)Refutation not found, incomplete strategy% (23523)------------------------------
% 1.49/0.56 % (23523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (23550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (23550)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (23550)Memory used [KB]: 5756
% 1.49/0.56 % (23550)Time elapsed: 0.003 s
% 1.49/0.56 % (23550)Instructions burned: 2 (million)
% 1.49/0.56 % (23550)------------------------------
% 1.49/0.56 % (23550)------------------------------
% 1.49/0.56 % (23523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (23523)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (23523)Memory used [KB]: 1279
% 1.49/0.56 % (23523)Time elapsed: 0.005 s
% 1.49/0.56 % (23523)Instructions burned: 2 (million)
% 1.49/0.56 % (23523)------------------------------
% 1.49/0.56 % (23523)------------------------------
% 1.49/0.57 % (23530)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.49/0.57 % (23530)Refutation not found, incomplete strategy% (23530)------------------------------
% 1.49/0.57 % (23530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (23530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (23530)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.57
% 1.49/0.57 % (23530)Memory used [KB]: 5756
% 1.49/0.57 % (23530)Time elapsed: 0.003 s
% 1.49/0.57 % (23530)Instructions burned: 2 (million)
% 1.49/0.57 % (23530)------------------------------
% 1.49/0.57 % (23530)------------------------------
% 1.49/0.57 % (23541)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.57 % (23541)Refutation not found, incomplete strategy% (23541)------------------------------
% 1.49/0.57 % (23541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (23541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (23541)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.57
% 1.49/0.57 % (23541)Memory used [KB]: 5756
% 1.49/0.57 % (23541)Time elapsed: 0.002 s
% 1.49/0.57 % (23541)Instructions burned: 1 (million)
% 1.49/0.57 % (23541)------------------------------
% 1.49/0.57 % (23541)------------------------------
% 1.49/0.57 % (23548)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.49/0.57 % (23540)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.49/0.57 % (23529)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.58 % (23540)Refutation not found, incomplete strategy% (23540)------------------------------
% 1.49/0.58 % (23540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (23540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (23540)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.58
% 1.49/0.58 % (23540)Memory used [KB]: 10234
% 1.49/0.58 % (23540)Time elapsed: 0.004 s
% 1.49/0.58 % (23540)Instructions burned: 2 (million)
% 1.49/0.58 % (23540)------------------------------
% 1.49/0.58 % (23540)------------------------------
% 1.49/0.58 % (23537)Instruction limit reached!
% 1.49/0.58 % (23537)------------------------------
% 1.49/0.58 % (23537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (23539)Instruction limit reached!
% 1.49/0.58 % (23539)------------------------------
% 1.49/0.58 % (23539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (23539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (23539)Termination reason: Unknown
% 1.49/0.58 % (23539)Termination phase: Saturation
% 1.49/0.58
% 1.49/0.58 % (23539)Memory used [KB]: 5884
% 1.49/0.58 % (23539)Time elapsed: 0.156 s
% 1.49/0.58 % (23539)Instructions burned: 8 (million)
% 1.49/0.58 % (23539)------------------------------
% 1.49/0.58 % (23539)------------------------------
% 1.49/0.58 % (23537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (23537)Termination reason: Unknown
% 1.49/0.58 % (23537)Termination phase: Finite model building preprocessing
% 1.49/0.58
% 1.49/0.58 % (23537)Memory used [KB]: 1407
% 1.49/0.58 % (23537)Time elapsed: 0.007 s
% 1.49/0.58 % (23537)Instructions burned: 7 (million)
% 1.49/0.58 % (23537)------------------------------
% 1.49/0.58 % (23537)------------------------------
% 1.49/0.58 % (23529)Refutation not found, incomplete strategy% (23529)------------------------------
% 1.49/0.58 % (23529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (23529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (23529)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.58
% 1.49/0.58 % (23529)Memory used [KB]: 5884
% 1.49/0.58 % (23529)Time elapsed: 0.005 s
% 1.49/0.58 % (23529)Instructions burned: 5 (million)
% 1.49/0.58 % (23529)------------------------------
% 1.49/0.58 % (23529)------------------------------
% 1.49/0.59 % (23536)Instruction limit reached!
% 1.49/0.59 % (23536)------------------------------
% 1.49/0.59 % (23536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.59 % (23536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.59 % (23536)Termination reason: Unknown
% 1.49/0.59 % (23536)Termination phase: Saturation
% 1.49/0.59
% 1.49/0.59 % (23536)Memory used [KB]: 1535
% 1.49/0.59 % (23536)Time elapsed: 0.148 s
% 1.49/0.59 % (23536)Instructions burned: 29 (million)
% 1.49/0.59 % (23536)------------------------------
% 1.49/0.59 % (23536)------------------------------
% 1.49/0.59 % (23548)Refutation not found, incomplete strategy% (23548)------------------------------
% 1.49/0.59 % (23548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.59 % (23548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.59 % (23548)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.59
% 1.49/0.59 % (23548)Memory used [KB]: 5756
% 1.49/0.59 % (23548)Time elapsed: 0.003 s
% 1.49/0.59 % (23548)Instructions burned: 1 (million)
% 1.49/0.59 % (23548)------------------------------
% 1.49/0.59 % (23548)------------------------------
% 1.49/0.60 % (23533)Instruction limit reached!
% 1.49/0.60 % (23533)------------------------------
% 1.49/0.60 % (23533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.60 % (23533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.60 % (23533)Termination reason: Unknown
% 1.49/0.60 % (23533)Termination phase: Saturation
% 1.49/0.60
% 1.49/0.60 % (23533)Memory used [KB]: 6012
% 1.49/0.60 % (23533)Time elapsed: 0.181 s
% 1.49/0.60 % (23533)Instructions burned: 23 (million)
% 1.49/0.60 % (23533)------------------------------
% 1.49/0.60 % (23533)------------------------------
% 1.49/0.60 % (23528)Instruction limit reached!
% 1.49/0.60 % (23528)------------------------------
% 1.49/0.60 % (23528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.60 % (23552)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.49/0.62 % (23528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.62 % (23528)Termination reason: Unknown
% 1.49/0.62 % (23528)Termination phase: Saturation
% 1.49/0.62
% 1.49/0.62 % (23528)Memory used [KB]: 1535
% 1.49/0.62 % (23528)Time elapsed: 0.163 s
% 1.49/0.62 % (23528)Instructions burned: 50 (million)
% 1.49/0.62 % (23528)------------------------------
% 1.49/0.62 % (23528)------------------------------
% 1.49/0.63 % (23552)Refutation not found, incomplete strategy% (23552)------------------------------
% 1.49/0.63 % (23552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.63 % (23552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.63 % (23552)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.63
% 1.49/0.63 % (23552)Memory used [KB]: 5884
% 1.49/0.63 % (23552)Time elapsed: 0.004 s
% 1.49/0.63 % (23552)Instructions burned: 2 (million)
% 1.49/0.63 % (23552)------------------------------
% 1.49/0.63 % (23552)------------------------------
% 1.49/0.63 % (23546)First to succeed.
% 1.96/0.64 % (23557)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.96/0.64 % (23554)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.96/0.65 % (23554)Instruction limit reached!
% 1.96/0.65 % (23554)------------------------------
% 1.96/0.65 % (23554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.65 % (23554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.65 % (23554)Termination reason: Unknown
% 1.96/0.65 % (23554)Termination phase: Saturation
% 1.96/0.65
% 1.96/0.65 % (23554)Memory used [KB]: 5884
% 1.96/0.65 % (23554)Time elapsed: 0.110 s
% 1.96/0.65 % (23554)Instructions burned: 3 (million)
% 1.96/0.65 % (23554)------------------------------
% 1.96/0.65 % (23554)------------------------------
% 1.96/0.66 % (23563)lrs+1011_1:64_nwc=3.0:s2a=on:sd=1:sgt=64:ss=included:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.96/0.66 % (23553)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.96/0.67 % (23553)Refutation not found, incomplete strategy% (23553)------------------------------
% 1.96/0.67 % (23553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.67 % (23553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.67 % (23553)Termination reason: Refutation not found, incomplete strategy
% 1.96/0.67
% 1.96/0.67 % (23553)Memory used [KB]: 5756
% 1.96/0.67 % (23553)Time elapsed: 0.003 s
% 1.96/0.67 % (23553)Instructions burned: 2 (million)
% 1.96/0.67 % (23553)------------------------------
% 1.96/0.67 % (23553)------------------------------
% 1.96/0.67 % (23555)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.96/0.68 % (23546)Refutation found. Thanks to Tanya!
% 1.96/0.68 % SZS status Unsatisfiable for theBenchmark
% 1.96/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.68 % (23546)------------------------------
% 1.96/0.68 % (23546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68 % (23546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68 % (23546)Termination reason: Refutation
% 1.96/0.68
% 1.96/0.68 % (23546)Memory used [KB]: 6268
% 1.96/0.68 % (23546)Time elapsed: 0.237 s
% 1.96/0.68 % (23546)Instructions burned: 42 (million)
% 1.96/0.68 % (23546)------------------------------
% 1.96/0.68 % (23546)------------------------------
% 1.96/0.68 % (23521)Success in time 0.328 s
%------------------------------------------------------------------------------