TSTP Solution File: SYO657-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO657-1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:07:33 EDT 2024
% Result : Unsatisfiable 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 109 ( 4 unt; 0 def)
% Number of atoms : 390 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 499 ( 218 ~; 265 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f343,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f100,f108,f118,f135,f162,f178,f187,f197,f202,f203,f219,f224,f241,f245,f251,f289,f295,f316,f336,f342]) ).
fof(f342,plain,
( ~ spl0_1
| spl0_23
| spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f318,f93,f97,f254,f67]) ).
fof(f67,plain,
( spl0_1
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f254,plain,
( spl0_23
<=> iLEQ(suc(suc(z)),suc(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f97,plain,
( spl0_7
<=> 'E'(f(suc(z)),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f93,plain,
( spl0_6
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f318,plain,
( 'E'(f(suc(z)),f(suc(suc(z))))
| iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_6 ),
inference(resolution,[],[f94,f4]) ).
fof(f4,axiom,
! [X4] :
( ~ 'E'(s('0'),f(suc(X4)))
| 'E'(f(X4),f(suc(X4)))
| iLEQ(suc(X4),suc(X4))
| ~ 'E'(s('0'),f(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f94,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f336,plain,
( ~ spl0_23
| ~ spl0_6
| ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f329,f97,f67,f93,f254]) ).
fof(f329,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| spl0_7 ),
inference(resolution,[],[f99,f44]) ).
fof(f44,plain,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X0)) ),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(X0)) ),
inference(factoring,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] :
( 'E'(f(X5),f(suc(X5)))
| 'E'(f(X4),f(suc(X4)))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X4))
| ~ iLEQ(suc(X4),suc(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_52) ).
fof(f99,plain,
( ~ 'E'(f(suc(z)),f(suc(suc(z))))
| spl0_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f316,plain,
( spl0_8
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f314,f93,f85,f105]) ).
fof(f105,plain,
( spl0_8
<=> 'LE'(f(z),'0') ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f85,plain,
( spl0_5
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f314,plain,
( 'E'('0',f(suc(z)))
| 'LE'(f(z),'0')
| spl0_6 ),
inference(resolution,[],[f309,f13]) ).
fof(f13,axiom,
! [X6] :
( ~ 'LE'(f(suc(X6)),s('0'))
| 'E'('0',f(suc(X6)))
| 'LE'(f(X6),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_40) ).
fof(f309,plain,
( 'LE'(f(suc(z)),s('0'))
| spl0_6 ),
inference(resolution,[],[f95,f25]) ).
fof(f25,plain,
! [X0] :
( 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f16,f3]) ).
fof(f3,axiom,
! [X3] : 'LE'(f(X3),s(s('0'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f16,axiom,
! [X2] :
( ~ 'LE'(f(suc(X2)),s(s('0')))
| 'E'(s('0'),f(suc(X2)))
| 'LE'(f(X2),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f95,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| spl0_6 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f295,plain,
( ~ spl0_3
| spl0_21
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f274,f67,f79,f194,f75]) ).
fof(f75,plain,
( spl0_3
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f194,plain,
( spl0_21
<=> iLEQ(suc(z),suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f79,plain,
( spl0_4
<=> 'E'(f(z),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f274,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl0_1 ),
inference(resolution,[],[f68,f4]) ).
fof(f68,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f289,plain,
( ~ spl0_21
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f282,f79,f75,f67,f194]) ).
fof(f282,plain,
( ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(z),suc(z))
| spl0_4 ),
inference(resolution,[],[f81,f44]) ).
fof(f81,plain,
( ~ 'E'(f(z),f(suc(z)))
| spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f251,plain,
( spl0_12
| spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f247,f93,f105,f128]) ).
fof(f128,plain,
( spl0_12
<=> 'E'('0',f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f247,plain,
( 'LE'(f(z),'0')
| 'E'('0',f(suc(suc(z))))
| spl0_6 ),
inference(resolution,[],[f95,f24]) ).
fof(f24,plain,
! [X0] :
( 'E'(s('0'),f(suc(suc(X0))))
| 'LE'(f(X0),'0')
| 'E'('0',f(suc(suc(X0)))) ),
inference(resolution,[],[f14,f21]) ).
fof(f21,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f7,f3]) ).
fof(f7,axiom,
! [X2] :
( ~ 'LE'(f(X2),s(s('0')))
| 'E'(s('0'),f(X2))
| 'LE'(f(X2),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f14,axiom,
! [X6] :
( ~ 'LE'(f(suc(suc(X6))),s('0'))
| 'E'('0',f(suc(suc(X6))))
| 'LE'(f(X6),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51) ).
fof(f245,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| ~ spl0_8 ),
inference(resolution,[],[f107,f15]) ).
fof(f15,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f107,plain,
( 'LE'(f(z),'0')
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f241,plain,
( spl0_8
| spl0_12
| spl0_11 ),
inference(avatar_split_clause,[],[f238,f124,f128,f105]) ).
fof(f124,plain,
( spl0_11
<=> 'E'(s('0'),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f238,plain,
( 'E'('0',f(suc(suc(z))))
| 'LE'(f(z),'0')
| spl0_11 ),
inference(resolution,[],[f233,f14]) ).
fof(f233,plain,
( 'LE'(f(suc(suc(z))),s('0'))
| spl0_11 ),
inference(resolution,[],[f126,f25]) ).
fof(f126,plain,
( ~ 'E'(s('0'),f(suc(suc(suc(z)))))
| spl0_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f224,plain,
( ~ spl0_21
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f223,f185,f128,f85,f79,f71,f194]) ).
fof(f71,plain,
( spl0_2
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f185,plain,
( spl0_19
<=> ! [X0] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(z)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f223,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'(f(z),f(suc(z)))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_12
| ~ spl0_19 ),
inference(resolution,[],[f186,f130]) ).
fof(f130,plain,
( 'E'('0',f(suc(suc(z))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f186,plain,
( ! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f219,plain,
( ~ spl0_2
| ~ spl0_21
| ~ spl0_5
| spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f217,f116,f79,f85,f194,f71]) ).
fof(f116,plain,
( spl0_10
<=> ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'('0',f(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f217,plain,
( ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| spl0_4
| ~ spl0_10 ),
inference(resolution,[],[f117,f81]) ).
fof(f117,plain,
( ! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'('0',f(X0)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f203,plain,
( spl0_8
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f89,f75,f71,f105]) ).
fof(f89,plain,
( 'E'('0',f(z))
| 'LE'(f(z),'0')
| spl0_3 ),
inference(resolution,[],[f77,f22]) ).
fof(f22,plain,
! [X0] :
( 'E'(s('0'),f(X0))
| 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f21,f8]) ).
fof(f8,axiom,
! [X6] :
( ~ 'LE'(f(X6),s('0'))
| 'E'('0',f(X6))
| 'LE'(f(X6),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
fof(f77,plain,
( ~ 'E'(s('0'),f(z))
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f202,plain,
( spl0_8
| spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f119,f67,f71,f105]) ).
fof(f119,plain,
( 'E'('0',f(z))
| 'LE'(f(z),'0')
| spl0_1 ),
inference(resolution,[],[f101,f8]) ).
fof(f101,plain,
( 'LE'(f(z),s('0'))
| spl0_1 ),
inference(resolution,[],[f69,f25]) ).
fof(f69,plain,
( ~ 'E'(s('0'),f(suc(z)))
| spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f197,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_21
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f182,f128,f194,f85,f71]) ).
fof(f182,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| ~ spl0_12 ),
inference(resolution,[],[f130,f35]) ).
fof(f35,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
fof(f9,axiom,
! [X0] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_41) ).
fof(f187,plain,
( ~ spl0_5
| ~ spl0_2
| spl0_19
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f179,f128,f79,f185,f71,f85]) ).
fof(f179,plain,
( ! [X0] :
( ~ 'E'(f(z),f(suc(z)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(X0))) )
| ~ spl0_12 ),
inference(resolution,[],[f130,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_43) ).
fof(f178,plain,
( ~ spl0_17
| ~ spl0_11
| ~ spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f173,f132,f93,f124,f159]) ).
fof(f159,plain,
( spl0_17
<=> iLEQ(suc(suc(suc(z))),suc(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f132,plain,
( spl0_13
<=> 'E'(f(suc(suc(z))),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f173,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(suc(suc(z)))))
| ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| spl0_13 ),
inference(resolution,[],[f134,f44]) ).
fof(f134,plain,
( ~ 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
| spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f162,plain,
( ~ spl0_6
| spl0_17
| spl0_13
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f157,f124,f132,f159,f93]) ).
fof(f157,plain,
( 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_11 ),
inference(resolution,[],[f125,f4]) ).
fof(f125,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f135,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f122,f132,f93,f128,f124]) ).
fof(f122,plain,
( ~ 'E'(f(suc(suc(z))),f(suc(suc(suc(z)))))
| ~ 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f61,f15]) ).
fof(f61,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'(f(suc(suc(X0))),f(suc(suc(suc(X0)))))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| 'E'('0',f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(suc(suc(X0))))) ),
inference(resolution,[],[f54,f14]) ).
fof(f54,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f52,f26]) ).
fof(f26,plain,
! [X0] :
( 'E'(s('0'),f(suc(suc(X0))))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f2,f3]) ).
fof(f2,axiom,
! [X2] :
( ~ 'LE'(f(suc(suc(X2))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X2))))
| 'LE'(f(X2),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_45) ).
fof(f52,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0))) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f20,f18]) ).
fof(f18,axiom,
! [X4] :
( iLEQ(suc(X4),suc(X4))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(f(X4),f(suc(X4)))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(suc(suc(X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f20,axiom,
! [X4,X5] :
( ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'(f(X5),f(suc(X5)))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(suc(suc(X5))))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(suc(X4))))
| ~ 'E'(f(X4),f(suc(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
fof(f118,plain,
( ~ spl0_2
| spl0_10
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f114,f85,f79,f116,f71]) ).
fof(f114,plain,
( ! [X0] :
( 'E'(f(z),f(suc(z)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'('0',f(z))
| 'E'(f(X0),f(suc(X0))) )
| ~ spl0_5 ),
inference(resolution,[],[f87,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ 'E'('0',f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| 'E'(f(X1),f(suc(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f87,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f108,plain,
( spl0_8
| spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f102,f67,f85,f105]) ).
fof(f102,plain,
( 'E'('0',f(suc(z)))
| 'LE'(f(z),'0')
| spl0_1 ),
inference(resolution,[],[f69,f23]) ).
fof(f23,plain,
! [X0] :
( 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f21,f13]) ).
fof(f100,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f91,f97,f67,f85,f93]) ).
fof(f91,plain,
( ~ 'E'(f(suc(z)),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| ~ 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f60,f15]) ).
fof(f60,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'(f(suc(X0)),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f54,f13]) ).
fof(f82,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f65,f79,f75,f71,f67]) ).
fof(f65,plain,
( ~ 'E'(f(z),f(suc(z)))
| ~ 'E'(s('0'),f(z))
| 'E'('0',f(z))
| ~ 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f59,f15]) ).
fof(f59,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| 'E'('0',f(X0))
| ~ 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f54,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO657-1 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 10:54:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.72 % (23282)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.73 % (23282)Refutation not found, incomplete strategy% (23282)------------------------------
% 0.56/0.73 % (23282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23282)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23282)Memory used [KB]: 948
% 0.56/0.73 % (23282)Time elapsed: 0.001 s
% 0.56/0.73 % (23282)Instructions burned: 2 (million)
% 0.56/0.73 % (23282)------------------------------
% 0.56/0.73 % (23282)------------------------------
% 0.56/0.73 % (23276)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (23277)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.73 % (23279)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.73 % (23280)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (23281)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.73 % (23278)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73 % (23276)Refutation not found, incomplete strategy% (23276)------------------------------
% 0.56/0.73 % (23276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23276)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23276)Memory used [KB]: 948
% 0.56/0.73 % (23276)Time elapsed: 0.002 s
% 0.56/0.73 % (23276)Instructions burned: 2 (million)
% 0.56/0.73 % (23279)Refutation not found, incomplete strategy% (23279)------------------------------
% 0.56/0.73 % (23279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23279)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73 % (23278)Refutation not found, incomplete strategy% (23278)------------------------------
% 0.56/0.73 % (23278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23278)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23278)Memory used [KB]: 947
% 0.56/0.73 % (23278)Time elapsed: 0.002 s
% 0.56/0.73 % (23278)Instructions burned: 2 (million)
% 0.56/0.73
% 0.56/0.73 % (23279)Memory used [KB]: 948
% 0.56/0.73 % (23279)Time elapsed: 0.002 s
% 0.56/0.73 % (23279)Instructions burned: 2 (million)
% 0.56/0.73 % (23276)------------------------------
% 0.56/0.73 % (23276)------------------------------
% 0.56/0.73 % (23281)Refutation not found, incomplete strategy% (23281)------------------------------
% 0.56/0.73 % (23281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23281)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23281)Memory used [KB]: 948
% 0.56/0.73 % (23281)Time elapsed: 0.002 s
% 0.56/0.73 % (23281)Instructions burned: 2 (million)
% 0.56/0.73 % (23278)------------------------------
% 0.56/0.73 % (23278)------------------------------
% 0.56/0.73 % (23281)------------------------------
% 0.56/0.73 % (23281)------------------------------
% 0.56/0.73 % (23279)------------------------------
% 0.56/0.73 % (23279)------------------------------
% 0.56/0.73 % (23280)Refutation not found, incomplete strategy% (23280)------------------------------
% 0.56/0.73 % (23280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23280)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23280)Memory used [KB]: 949
% 0.56/0.73 % (23280)Time elapsed: 0.002 s
% 0.56/0.73 % (23280)Instructions burned: 3 (million)
% 0.56/0.73 % (23280)------------------------------
% 0.56/0.73 % (23280)------------------------------
% 0.56/0.73 % (23283)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.73 % (23283)Refutation not found, incomplete strategy% (23283)------------------------------
% 0.56/0.73 % (23283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23283)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23283)Memory used [KB]: 948
% 0.56/0.73 % (23283)Time elapsed: 0.001 s
% 0.56/0.73 % (23283)Instructions burned: 2 (million)
% 0.56/0.73 % (23283)------------------------------
% 0.56/0.73 % (23283)------------------------------
% 0.56/0.73 % (23285)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.56/0.73 % (23284)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.73 % (23290)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.56/0.73 % (23286)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.73 % (23290)Refutation not found, incomplete strategy% (23290)------------------------------
% 0.56/0.73 % (23290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23290)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23290)Memory used [KB]: 948
% 0.56/0.73 % (23290)Time elapsed: 0.001 s
% 0.56/0.73 % (23290)Instructions burned: 2 (million)
% 0.56/0.73 % (23287)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.56/0.73 % (23290)------------------------------
% 0.56/0.73 % (23290)------------------------------
% 0.56/0.73 % (23285)Refutation not found, incomplete strategy% (23285)------------------------------
% 0.56/0.73 % (23285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23285)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23285)Memory used [KB]: 953
% 0.56/0.73 % (23285)Time elapsed: 0.002 s
% 0.56/0.73 % (23285)Instructions burned: 4 (million)
% 0.56/0.73 % (23286)Refutation not found, incomplete strategy% (23286)------------------------------
% 0.56/0.73 % (23286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23288)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.56/0.73 % (23285)------------------------------
% 0.56/0.73 % (23285)------------------------------
% 0.56/0.73 % (23286)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23286)Memory used [KB]: 948
% 0.56/0.73 % (23286)Time elapsed: 0.003 s
% 0.56/0.73 % (23286)Instructions burned: 2 (million)
% 0.56/0.73 % (23287)Refutation not found, incomplete strategy% (23287)------------------------------
% 0.56/0.73 % (23287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23287)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23287)Memory used [KB]: 948
% 0.56/0.73 % (23287)Time elapsed: 0.002 s
% 0.56/0.73 % (23287)Instructions burned: 2 (million)
% 0.56/0.73 % (23286)------------------------------
% 0.56/0.73 % (23286)------------------------------
% 0.56/0.73 % (23288)Refutation not found, incomplete strategy% (23288)------------------------------
% 0.56/0.73 % (23288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23288)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23288)Memory used [KB]: 948
% 0.56/0.73 % (23288)Time elapsed: 0.003 s
% 0.56/0.73 % (23287)------------------------------
% 0.56/0.73 % (23287)------------------------------
% 0.56/0.73 % (23288)Instructions burned: 2 (million)
% 0.56/0.73 % (23288)------------------------------
% 0.56/0.73 % (23288)------------------------------
% 0.56/0.73 % (23284)Refutation not found, incomplete strategy% (23284)------------------------------
% 0.56/0.73 % (23284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23284)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23284)Memory used [KB]: 971
% 0.56/0.73 % (23284)Time elapsed: 0.004 s
% 0.56/0.73 % (23284)Instructions burned: 4 (million)
% 0.56/0.73 % (23284)------------------------------
% 0.56/0.73 % (23284)------------------------------
% 0.56/0.73 % (23289)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.56/0.73 % (23289)Refutation not found, incomplete strategy% (23289)------------------------------
% 0.56/0.73 % (23289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (23289)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (23289)Memory used [KB]: 953
% 0.56/0.73 % (23289)Time elapsed: 0.001 s
% 0.56/0.73 % (23289)Instructions burned: 2 (million)
% 0.56/0.73 % (23277)First to succeed.
% 0.56/0.73 % (23289)------------------------------
% 0.56/0.73 % (23289)------------------------------
% 0.56/0.73 % (23292)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.56/0.73 % (23291)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.56/0.74 % (23293)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.56/0.74 % (23294)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.56/0.74 % (23277)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23275"
% 0.56/0.74 % (23295)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2996ds/32Mi)
% 0.56/0.74 % (23294)Refutation not found, incomplete strategy% (23294)------------------------------
% 0.56/0.74 % (23294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (23296)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2996ds/1919Mi)
% 0.56/0.74 % (23294)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (23294)Memory used [KB]: 949
% 0.56/0.74 % (23294)Time elapsed: 0.003 s
% 0.56/0.74 % (23294)Instructions burned: 2 (million)
% 0.56/0.74 % (23277)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74 % (23277)------------------------------
% 0.56/0.74 % (23277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (23277)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (23277)Memory used [KB]: 1150
% 0.56/0.74 % (23277)Time elapsed: 0.012 s
% 0.56/0.74 % (23277)Instructions burned: 18 (million)
% 0.56/0.74 % (23275)Success in time 0.379 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------