TSTP Solution File: SYO674-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO674-1 : 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:48:56 EDT 2022
% Result : Unsatisfiable 1.81s 0.60s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 218 ( 3 unt; 0 def)
% Number of atoms : 1399 ( 0 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 2380 (1199 ~;1160 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 25 ( 24 usr; 22 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 256 ( 256 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f324,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f53,f59,f74,f80,f86,f105,f121,f126,f127,f158,f173,f193,f200,f210,f226,f240,f271,f275,f276,f277,f292,f296,f297,f314,f318,f319,f323]) ).
fof(f323,plain,
( spl0_3
| spl0_5
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| spl0_3
| spl0_5
| spl0_10 ),
inference(subsumption_resolution,[],[f321,f51]) ).
fof(f51,plain,
( ~ 'E'(s('0'),f(suc(z)))
| spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_5
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f321,plain,
( 'E'(s('0'),f(suc(z)))
| spl0_3
| spl0_10 ),
inference(subsumption_resolution,[],[f320,f40]) ).
fof(f40,plain,
( ~ 'E'('0',f(z))
| spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_3
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f320,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z))
| spl0_10 ),
inference(subsumption_resolution,[],[f60,f78]) ).
fof(f78,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| spl0_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_10
<=> 'E'(s(s('0')),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f60,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f27,f8]) ).
fof(f8,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_204) ).
fof(f27,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f22,f4]) ).
fof(f4,axiom,
! [X8] :
( ~ 'LE'(f(X8),s('0'))
| 'LE'(f(X8),'0')
| 'E'('0',f(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_176) ).
fof(f22,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f20,f12]) ).
fof(f12,axiom,
! [X6] :
( ~ 'LE'(f(suc(X6)),s(s('0')))
| 'LE'(f(X6),s('0'))
| 'E'(s('0'),f(suc(X6))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
fof(f20,plain,
! [X9] :
( 'LE'(f(X9),s(s('0')))
| 'E'(s(s('0')),f(suc(X9))) ),
inference(subsumption_resolution,[],[f9,f7]) ).
fof(f7,axiom,
! [X11] : 'LE'(f(X11),s(s(s('0')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_498) ).
fof(f9,axiom,
! [X9] :
( ~ 'LE'(f(suc(X9)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X9)))
| 'LE'(f(X9),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_129) ).
fof(f319,plain,
( spl0_7
| ~ spl0_1
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f298,f46,f67,f31,f64]) ).
fof(f64,plain,
( spl0_7
<=> ! [X4] :
( ~ 'E'(s(s('0')),f(X4))
| ~ iLEQ(suc(z),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f31,plain,
( spl0_1
<=> 'E'(s(s('0')),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f67,plain,
( spl0_8
<=> ! [X0,X3,X2,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f46,plain,
( spl0_4
<=> 'E'(s(s('0')),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f298,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X4))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X4))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'(s(s('0')),f(suc(X3))) )
| ~ spl0_4 ),
inference(resolution,[],[f48,f10]) ).
fof(f10,axiom,
! [X10,X16,X14,X15,X12,X13] :
( ~ 'E'(s(s('0')),f(suc(X16)))
| ~ 'E'(s(s('0')),f(suc(X10)))
| ~ 'E'(s(s('0')),f(suc(X13)))
| ~ 'E'(s(s('0')),f(X10))
| ~ iLEQ(suc(X14),suc(X15))
| ~ 'E'(s(s('0')),f(suc(X15)))
| ~ iLEQ(suc(X13),suc(X14))
| ~ 'E'(s(s('0')),f(suc(X14)))
| ~ 'E'(s(s('0')),f(X15))
| ~ iLEQ(suc(X15),suc(X16))
| ~ 'E'(s(s('0')),f(X12))
| ~ 'E'(s(s('0')),f(X13))
| ~ iLEQ(suc(X10),suc(X13))
| ~ 'E'(s(s('0')),f(X14))
| ~ iLEQ(suc(X16),suc(X12))
| ~ 'E'(s(s('0')),f(suc(X12)))
| ~ 'E'(s(s('0')),f(X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_431) ).
fof(f48,plain,
( 'E'(s(s('0')),f(suc(z)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f318,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f317,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f316,f73]) ).
fof(f73,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_9
<=> iLEQ(suc(z),suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f316,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f315,f33]) ).
fof(f33,plain,
( 'E'(s(s('0')),f(z))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f315,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f65,f48]) ).
fof(f65,plain,
( ! [X4] :
( ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(z),suc(X4))
| ~ 'E'(s(s('0')),f(X4)) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f314,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f312,f33]) ).
fof(f312,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f311,f73]) ).
fof(f311,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f310,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f309,f48]) ).
fof(f309,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f308,f73]) ).
fof(f308,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f307,f33]) ).
fof(f307,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f306,f48]) ).
fof(f306,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f305,f33]) ).
fof(f305,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f304,f48]) ).
fof(f304,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0))) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f303,f33]) ).
fof(f303,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(X1),suc(X0))
| ~ '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(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(suc(X2))) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f302,f73]) ).
fof(f302,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f68,f48]) ).
fof(f68,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f297,plain,
( ~ spl0_2
| spl0_14
| spl0_15
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f279,f123,f50,f114,f111,f35]) ).
fof(f35,plain,
( spl0_2
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f111,plain,
( spl0_14
<=> ! [X3] :
( ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(z),suc(X3))
| ~ 'E'(s('0'),f(suc(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f114,plain,
( spl0_15
<=> ! [X2,X0,X1] :
( ~ iLEQ(suc(z),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f123,plain,
( spl0_17
<=> ! [X4,X0,X3,X2,X1] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(X3))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X2),suc(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f279,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X2))
| ~ iLEQ(suc(z),suc(X1))
| ~ iLEQ(suc(X0),suc(X3)) )
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f124,f52]) ).
fof(f52,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f124,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X4),suc(X3))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f296,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f294,f37]) ).
fof(f37,plain,
( 'E'(s('0'),f(z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f294,plain,
( ~ 'E'(s('0'),f(z))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f293,f73]) ).
fof(f293,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f112,f52]) ).
fof(f112,plain,
( ! [X3] :
( ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(z),suc(X3))
| ~ 'E'(s('0'),f(X3)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f292,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f290,f37]) ).
fof(f290,plain,
( ~ 'E'(s('0'),f(z))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f289,f73]) ).
fof(f289,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f288,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f287,f52]) ).
fof(f287,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f286,f37]) ).
fof(f286,plain,
( ! [X0] :
( ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f285,f73]) ).
fof(f285,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f284,f52]) ).
fof(f284,plain,
( ! [X0,X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(z),suc(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s('0'),f(X1)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f283,f73]) ).
fof(f283,plain,
( ! [X0,X1] :
( ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(X1))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0))) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f282,f37]) ).
fof(f282,plain,
( ! [X0,X1] :
( ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(z),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(X1),suc(X0)) )
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f115,f52]) ).
fof(f115,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(z))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(z),suc(X1))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X1))) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f277,plain,
( ~ spl0_2
| spl0_17
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f229,f50,f123,f35]) ).
fof(f229,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(suc(X2))) )
| ~ spl0_5 ),
inference(resolution,[],[f52,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X4))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X1))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X4),suc(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_193) ).
fof(f276,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f211,f102,f71,f56,f39]) ).
fof(f56,plain,
( spl0_6
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f102,plain,
( spl0_13
<=> ! [X2] :
( ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f211,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| ~ spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f103,f73]) ).
fof(f103,plain,
( ! [X2] :
( ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X2))) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f275,plain,
( ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f273,f120]) ).
fof(f120,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_16
<=> 'E'(s(s('0')),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f273,plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f272,f79]) ).
fof(f79,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f272,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f236,f241]) ).
fof(f241,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_10
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f232,f79]) ).
fof(f232,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_16 ),
inference(resolution,[],[f120,f6]) ).
fof(f6,axiom,
! [X10] :
( ~ 'E'(s(s('0')),f(suc(X10)))
| ~ 'E'(s(s('0')),f(X10))
| iLEQ(suc(X10),suc(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_126) ).
fof(f236,plain,
( ! [X4] :
( ~ iLEQ(suc(suc(suc(z))),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4)) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_22
<=> ! [X4] :
( ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(suc(suc(z))),suc(X4))
| ~ 'E'(s(s('0')),f(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f271,plain,
( ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f269,f120]) ).
fof(f269,plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f268,f79]) ).
fof(f268,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f267,f241]) ).
fof(f267,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0))) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f266,f120]) ).
fof(f266,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z))))) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f265,f79]) ).
fof(f265,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ '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_16
| ~ spl0_23 ),
inference(resolution,[],[f264,f241]) ).
fof(f264,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f263,f120]) ).
fof(f263,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X1),suc(X0))
| ~ '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(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f262,f79]) ).
fof(f262,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(suc(suc(z)))) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f261,f241]) ).
fof(f261,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f260,f120]) ).
fof(f260,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f259,f79]) ).
fof(f259,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X0),suc(X1)) )
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f239,f241]) ).
fof(f239,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X3),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl0_23
<=> ! [X0,X3,X2,X1] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X3),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f240,plain,
( spl0_22
| spl0_23
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f233,f118,f77,f238,f235]) ).
fof(f233,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X4))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(suc(suc(z))),suc(X4))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(X3)) )
| ~ spl0_10
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f231,f79]) ).
fof(f231,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X3),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(suc(suc(z))),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ '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(X3)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ iLEQ(suc(X2),suc(X3)) )
| ~ spl0_16 ),
inference(resolution,[],[f120,f10]) ).
fof(f226,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f224,f174]) ).
fof(f174,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_4
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f171,f48]) ).
fof(f171,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_10 ),
inference(resolution,[],[f79,f6]) ).
fof(f224,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f223,f48]) ).
fof(f223,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_10
| ~ spl0_18 ),
inference(resolution,[],[f138,f79]) ).
fof(f138,plain,
( ! [X4] :
( ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| ~ iLEQ(suc(suc(z)),suc(X4)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl0_18
<=> ! [X4] :
( ~ 'E'(s(s('0')),f(X4))
| ~ iLEQ(suc(suc(z)),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f210,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f208,f58]) ).
fof(f58,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f208,plain,
( ~ 'E'('0',f(suc(z)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f207,f41]) ).
fof(f41,plain,
( 'E'('0',f(z))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f207,plain,
( ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(z)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(resolution,[],[f206,f73]) ).
fof(f206,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f205,f58]) ).
fof(f205,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(z))) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f204,f41]) ).
fof(f204,plain,
( ! [X0] :
( ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(X0)) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(resolution,[],[f203,f73]) ).
fof(f203,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(X1),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1)) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f202,f41]) ).
fof(f202,plain,
( ! [X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'('0',f(suc(X0))) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f201,f58]) ).
fof(f201,plain,
( ! [X0,X1] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z)) )
| ~ spl0_9
| ~ spl0_12 ),
inference(resolution,[],[f100,f73]) ).
fof(f100,plain,
( ! [X3,X0,X1] :
( ~ iLEQ(suc(X3),suc(z))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X3)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_12
<=> ! [X0,X1,X3] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f200,plain,
( spl0_13
| spl0_12
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f199,f71,f56,f39,f99,f102]) ).
fof(f199,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(suc(X1))) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f198,f41]) ).
fof(f198,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'('0',f(X3))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(z),suc(X2)) )
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f197,f58]) ).
fof(f197,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X3),suc(z))
| ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'('0',f(suc(X1))) )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f196,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(z),suc(X2))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X3),suc(z))
| ~ iLEQ(suc(X0),suc(X3))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(z)) )
| ~ spl0_9 ),
inference(resolution,[],[f73,f14]) ).
fof(f14,axiom,
! [X21,X18,X19,X7,X17,X20] :
( ~ iLEQ(suc(X20),suc(X18))
| ~ 'E'('0',f(suc(X17)))
| ~ 'E'('0',f(X20))
| ~ 'E'('0',f(X17))
| ~ 'E'('0',f(X18))
| ~ 'E'('0',f(X7))
| ~ iLEQ(suc(X18),suc(X21))
| ~ iLEQ(suc(X17),suc(X19))
| ~ 'E'('0',f(suc(X20)))
| ~ iLEQ(suc(X19),suc(X20))
| ~ 'E'('0',f(X21))
| ~ 'E'('0',f(suc(X7)))
| ~ 'E'('0',f(suc(X21)))
| ~ 'E'('0',f(X19))
| ~ 'E'('0',f(suc(X18)))
| ~ 'E'('0',f(suc(X19)))
| ~ iLEQ(suc(X7),suc(X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_453) ).
fof(f193,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f192,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f191,f174]) ).
fof(f191,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f190,f48]) ).
fof(f190,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f189]) ).
fof(f189,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(resolution,[],[f187,f79]) ).
fof(f187,plain,
( ! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f186,f48]) ).
fof(f186,plain,
( ! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z))) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f185,f174]) ).
fof(f185,plain,
( ! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z))) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(resolution,[],[f183,f79]) ).
fof(f183,plain,
( ! [X2,X3] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(suc(z)),suc(X2))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X2))) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f182,f48]) ).
fof(f182,plain,
( ! [X2,X3] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ iLEQ(suc(suc(z)),suc(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(z))) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(resolution,[],[f180,f79]) ).
fof(f180,plain,
( ! [X3,X4,X5] :
( ~ 'E'(s(s('0')),f(suc(X5)))
| ~ iLEQ(suc(X5),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(X5)) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f179,f48]) ).
fof(f179,plain,
( ! [X3,X4,X5] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X5),suc(X3))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X5)))
| ~ 'E'(s(s('0')),f(X5)) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f178,f174]) ).
fof(f178,plain,
( ! [X3,X4,X5] :
( ~ iLEQ(suc(X5),suc(X3))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X5)))
| ~ 'E'(s(s('0')),f(X5))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(suc(z)))
| ~ iLEQ(suc(X3),suc(X4)) )
| ~ spl0_10
| ~ spl0_19 ),
inference(resolution,[],[f141,f79]) ).
fof(f141,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ '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(X1)))
| ~ 'E'(s(s('0')),f(suc(X0))) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_19
<=> ! [X0,X3,X2,X1] :
( ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(suc(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f173,plain,
( spl0_18
| spl0_19
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f172,f77,f46,f140,f137]) ).
fof(f172,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s('0')),f(X4))
| ~ iLEQ(suc(suc(z)),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X4))) )
| ~ spl0_4
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f170,f48]) ).
fof(f170,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X3),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ iLEQ(suc(suc(z)),suc(X4))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_10 ),
inference(resolution,[],[f79,f10]) ).
fof(f158,plain,
( ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f157,plain,
( $false
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f156,f52]) ).
fof(f156,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f155,f85]) ).
fof(f85,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_11
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f155,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f154,f131]) ).
fof(f131,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f129,f52]) ).
fof(f129,plain,
( ~ 'E'(s('0'),f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_11 ),
inference(resolution,[],[f85,f13]) ).
fof(f13,axiom,
! [X5] :
( ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X5))
| iLEQ(suc(X5),suc(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_493) ).
fof(f154,plain,
( ! [X0] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f153,f85]) ).
fof(f153,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(suc(z)),suc(X0)) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f152,f52]) ).
fof(f152,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(suc(z)))) )
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f151,f131]) ).
fof(f151,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X0),suc(X1)) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f150,f52]) ).
fof(f150,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0))) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f149,f85]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X0)) )
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f148,f131]) ).
fof(f148,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X0),suc(X2))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X1))) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f147,f52]) ).
fof(f147,plain,
( ! [X2,X0,X1] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X2))) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f146,f85]) ).
fof(f146,plain,
( ! [X2,X0,X1] :
( ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X2)) )
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f145,f131]) ).
fof(f145,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(X2)) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f144,f85]) ).
fof(f144,plain,
( ! [X2,X3,X0,X1] :
( ~ iLEQ(suc(suc(z)),suc(X3))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(X2))) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f143,f52]) ).
fof(f143,plain,
( ! [X2,X3,X0,X1] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(suc(z)),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(suc(z)))) )
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f130,f131]) ).
fof(f130,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X2))) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f128,f52]) ).
fof(f128,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(X4),suc(X3))
| ~ 'E'(s('0'),f(X4))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(suc(z)),suc(X0)) )
| ~ spl0_11 ),
inference(resolution,[],[f85,f1]) ).
fof(f127,plain,
( spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f43,f39,f35,f46]) ).
fof(f43,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(suc(z))) ),
inference(resolution,[],[f23,f8]) ).
fof(f23,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f21,f4]) ).
fof(f21,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f20,f2]) ).
fof(f2,axiom,
! [X6] :
( ~ 'LE'(f(X6),s(s('0')))
| 'LE'(f(X6),s('0'))
| 'E'(s('0'),f(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_298) ).
fof(f126,plain,
( ~ spl0_2
| spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f91,f50,f71,f35]) ).
fof(f91,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl0_5 ),
inference(resolution,[],[f52,f13]) ).
fof(f121,plain,
( spl0_11
| spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f89,f118,f56,f83]) ).
fof(f89,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f28,f8]) ).
fof(f28,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(suc(X1)))))
| 'E'(s('0'),f(suc(suc(X1)))) ),
inference(resolution,[],[f22,f11]) ).
fof(f11,axiom,
! [X8] :
( ~ 'LE'(f(suc(X8)),s('0'))
| 'E'('0',f(suc(X8)))
| 'LE'(f(X8),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_50) ).
fof(f105,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f87,f56,f71,f39]) ).
fof(f87,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ spl0_6 ),
inference(resolution,[],[f58,f3]) ).
fof(f3,axiom,
! [X7] :
( ~ 'E'('0',f(suc(X7)))
| iLEQ(suc(X7),suc(X7))
| ~ 'E'('0',f(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_281) ).
fof(f86,plain,
( spl0_6
| spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f81,f77,f83,f56]) ).
fof(f81,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f26,f8]) ).
fof(f26,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(suc(X1)))) ),
inference(resolution,[],[f17,f11]) ).
fof(f17,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1))) ),
inference(resolution,[],[f15,f12]) ).
fof(f15,plain,
! [X9] :
( 'LE'(f(X9),s(s('0')))
| 'E'(s(s('0')),f(X9)) ),
inference(subsumption_resolution,[],[f5,f7]) ).
fof(f5,axiom,
! [X9] :
( 'LE'(f(X9),s(s('0')))
| ~ 'LE'(f(X9),s(s(s('0'))))
| 'E'(s(s('0')),f(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_139) ).
fof(f80,plain,
( spl0_10
| spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f75,f50,f56,f77]) ).
fof(f75,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z)))) ),
inference(resolution,[],[f24,f8]) ).
fof(f24,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(X1)))
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(X1)))) ),
inference(resolution,[],[f21,f11]) ).
fof(f74,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f62,f46,f71,f31]) ).
fof(f62,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ spl0_4 ),
inference(resolution,[],[f48,f6]) ).
fof(f59,plain,
( spl0_6
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f54,f46,f50,f56]) ).
fof(f54,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f19,f8]) ).
fof(f19,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1))) ),
inference(resolution,[],[f16,f11]) ).
fof(f16,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s('0')),f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f15,f2]) ).
fof(f53,plain,
( spl0_4
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f50,f39,f46]) ).
fof(f44,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s('0')),f(suc(z))) ),
inference(resolution,[],[f25,f8]) ).
fof(f25,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s('0')),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f17,f4]) ).
fof(f42,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f39,f35,f31]) ).
fof(f29,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(z))
| 'E'(s(s('0')),f(z)) ),
inference(resolution,[],[f18,f8]) ).
fof(f18,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'('0',f(X0))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f16,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 23:32:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (30873)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)
% 0.21/0.55 % (30872)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)
% 0.21/0.55 % (30871)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)
% 0.21/0.55 % (30889)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)
% 0.21/0.56 % (30872)Refutation not found, incomplete strategy% (30872)------------------------------
% 0.21/0.56 % (30872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (30873)Refutation not found, incomplete strategy% (30873)------------------------------
% 0.21/0.56 % (30873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (30873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (30873)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (30873)Memory used [KB]: 5756
% 0.21/0.56 % (30873)Time elapsed: 0.004 s
% 0.21/0.56 % (30873)Instructions burned: 1 (million)
% 0.21/0.56 % (30873)------------------------------
% 0.21/0.56 % (30873)------------------------------
% 0.21/0.56 % (30872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (30872)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (30872)Memory used [KB]: 5884
% 0.21/0.56 % (30872)Time elapsed: 0.004 s
% 0.21/0.56 % (30872)Instructions burned: 4 (million)
% 0.21/0.56 % (30872)------------------------------
% 0.21/0.56 % (30872)------------------------------
% 0.21/0.56 % (30881)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)
% 0.21/0.56 % (30881)Refutation not found, incomplete strategy% (30881)------------------------------
% 0.21/0.56 % (30881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (30881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (30881)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (30881)Memory used [KB]: 5756
% 0.21/0.56 % (30881)Time elapsed: 0.002 s
% 0.21/0.56 % (30881)Instructions burned: 1 (million)
% 0.21/0.56 % (30881)------------------------------
% 0.21/0.56 % (30881)------------------------------
% 0.21/0.56 % (30888)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)
% 0.21/0.57 % (30888)Refutation not found, incomplete strategy% (30888)------------------------------
% 0.21/0.57 % (30888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (30888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (30888)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (30888)Memory used [KB]: 5884
% 0.21/0.57 % (30888)Time elapsed: 0.003 s
% 0.21/0.57 % (30888)Instructions burned: 1 (million)
% 0.21/0.57 % (30888)------------------------------
% 0.21/0.57 % (30888)------------------------------
% 0.21/0.57 % (30887)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)
% 0.21/0.57 % (30887)Refutation not found, incomplete strategy% (30887)------------------------------
% 0.21/0.57 % (30887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (30887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (30887)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (30887)Memory used [KB]: 5756
% 0.21/0.57 % (30887)Time elapsed: 0.002 s
% 0.21/0.57 % (30887)Instructions burned: 1 (million)
% 0.21/0.57 % (30887)------------------------------
% 0.21/0.57 % (30887)------------------------------
% 0.21/0.57 % (30879)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)
% 1.65/0.58 % (30893)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)
% 1.65/0.58 % (30880)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)
% 1.65/0.58 % (30880)Instruction limit reached!
% 1.65/0.58 % (30880)------------------------------
% 1.65/0.58 % (30880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (30880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (30880)Termination reason: Unknown
% 1.65/0.58 % (30880)Termination phase: Finite model building preprocessing
% 1.65/0.58
% 1.65/0.58 % (30880)Memory used [KB]: 1407
% 1.65/0.58 % (30880)Time elapsed: 0.004 s
% 1.65/0.58 % (30880)Instructions burned: 6 (million)
% 1.65/0.58 % (30880)------------------------------
% 1.65/0.58 % (30880)------------------------------
% 1.65/0.58 % (30889)First to succeed.
% 1.65/0.58 % (30892)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)
% 1.65/0.59 % (30883)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)
% 1.65/0.59 % (30892)Refutation not found, incomplete strategy% (30892)------------------------------
% 1.65/0.59 % (30892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (30892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (30892)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.59
% 1.65/0.59 % (30892)Memory used [KB]: 1279
% 1.65/0.59 % (30892)Time elapsed: 0.002 s
% 1.65/0.59 % (30892)Instructions burned: 1 (million)
% 1.65/0.59 % (30892)------------------------------
% 1.65/0.59 % (30892)------------------------------
% 1.65/0.59 % (30870)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.65/0.59 % (30869)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)
% 1.65/0.59 % (30874)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)
% 1.65/0.59 % (30869)Refutation not found, incomplete strategy% (30869)------------------------------
% 1.65/0.59 % (30869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (30869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (30869)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.59
% 1.65/0.59 % (30869)Memory used [KB]: 5756
% 1.65/0.59 % (30869)Time elapsed: 0.002 s
% 1.65/0.59 % (30869)Instructions burned: 2 (million)
% 1.65/0.59 % (30869)------------------------------
% 1.65/0.59 % (30869)------------------------------
% 1.65/0.59 % (30875)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)
% 1.65/0.59 % (30893)Refutation not found, incomplete strategy% (30893)------------------------------
% 1.65/0.59 % (30893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (30893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (30893)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.59
% 1.65/0.59 % (30893)Memory used [KB]: 5756
% 1.65/0.59 % (30893)Time elapsed: 0.002 s
% 1.65/0.59 % (30893)Instructions burned: 2 (million)
% 1.65/0.59 % (30893)------------------------------
% 1.65/0.59 % (30893)------------------------------
% 1.81/0.59 % (30875)Refutation not found, incomplete strategy% (30875)------------------------------
% 1.81/0.59 % (30875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (30875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (30875)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.59
% 1.81/0.59 % (30875)Memory used [KB]: 5884
% 1.81/0.59 % (30875)Time elapsed: 0.164 s
% 1.81/0.59 % (30875)Instructions burned: 2 (million)
% 1.81/0.59 % (30875)------------------------------
% 1.81/0.59 % (30875)------------------------------
% 1.81/0.59 % (30882)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.81/0.59 % (30878)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)
% 1.81/0.59 % (30885)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)
% 1.81/0.59 % (30866)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)
% 1.81/0.59 % (30878)Instruction limit reached!
% 1.81/0.59 % (30878)------------------------------
% 1.81/0.59 % (30878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (30878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (30878)Termination reason: Unknown
% 1.81/0.59 % (30878)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (30878)Memory used [KB]: 5884
% 1.81/0.59 % (30878)Time elapsed: 0.176 s
% 1.81/0.59 % (30878)Instructions burned: 4 (million)
% 1.81/0.59 % (30878)------------------------------
% 1.81/0.59 % (30878)------------------------------
% 1.81/0.59 % (30874)Refutation not found, incomplete strategy% (30874)------------------------------
% 1.81/0.59 % (30874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (30885)Instruction limit reached!
% 1.81/0.59 % (30885)------------------------------
% 1.81/0.59 % (30885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (30885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (30885)Termination reason: Unknown
% 1.81/0.59 % (30885)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (30885)Memory used [KB]: 1407
% 1.81/0.59 % (30885)Time elapsed: 0.004 s
% 1.81/0.59 % (30885)Instructions burned: 8 (million)
% 1.81/0.59 % (30885)------------------------------
% 1.81/0.59 % (30885)------------------------------
% 1.81/0.59 % (30874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (30874)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.59
% 1.81/0.59 % (30874)Memory used [KB]: 5756
% 1.81/0.59 % (30874)Time elapsed: 0.003 s
% 1.81/0.59 % (30874)Instructions burned: 1 (million)
% 1.81/0.59 % (30874)------------------------------
% 1.81/0.59 % (30874)------------------------------
% 1.81/0.60 % (30889)Refutation found. Thanks to Tanya!
% 1.81/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.81/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.60 % (30889)------------------------------
% 1.81/0.60 % (30889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (30889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (30889)Termination reason: Refutation
% 1.81/0.60
% 1.81/0.60 % (30889)Memory used [KB]: 6140
% 1.81/0.60 % (30889)Time elapsed: 0.146 s
% 1.81/0.60 % (30889)Instructions burned: 30 (million)
% 1.81/0.60 % (30889)------------------------------
% 1.81/0.60 % (30889)------------------------------
% 1.81/0.60 % (30864)Success in time 0.228 s
%------------------------------------------------------------------------------