TSTP Solution File: SYN067+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 19:36:46 EDT 2022
% Result : Theorem 1.30s 0.55s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of formulae : 168 ( 1 unt; 0 def)
% Number of atoms : 808 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1052 ( 412 ~; 449 |; 143 &)
% ( 32 <=>; 13 =>; 0 <=; 3 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 29 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 236 ( 159 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f679,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f66,f70,f74,f78,f87,f92,f96,f100,f104,f108,f113,f117,f121,f125,f130,f131,f135,f139,f140,f144,f165,f215,f240,f446,f480,f485,f517,f548,f550,f676,f678]) ).
fof(f678,plain,
( ~ spl12_12
| spl12_28 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl12_12
| spl12_28 ),
inference(subsumption_resolution,[],[f200,f99]) ).
fof(f99,plain,
( ! [X3] : sP0(X3)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl12_12
<=> ! [X3] : sP0(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f200,plain,
( ~ sP0(sK2)
| spl12_28 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl12_28
<=> sP0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f676,plain,
( ~ spl12_18
| ~ spl12_26
| ~ spl12_48
| ~ spl12_49 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl12_18
| ~ spl12_26
| ~ spl12_48
| ~ spl12_49 ),
inference(subsumption_resolution,[],[f663,f450]) ).
fof(f450,plain,
( big_p(sK7(sK2))
| ~ spl12_49 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f448,plain,
( spl12_49
<=> big_p(sK7(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_49])]) ).
fof(f663,plain,
( ~ big_p(sK7(sK2))
| ~ spl12_18
| ~ spl12_26
| ~ spl12_48 ),
inference(resolution,[],[f637,f189]) ).
fof(f189,plain,
( big_r(sK8(sK2),sK7(sK2))
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl12_26
<=> big_r(sK8(sK2),sK7(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f637,plain,
( ! [X2] :
( ~ big_r(sK8(sK2),X2)
| ~ big_p(X2) )
| ~ spl12_18
| ~ spl12_48 ),
inference(resolution,[],[f124,f437]) ).
fof(f437,plain,
( big_r(sK2,sK8(sK2))
| ~ spl12_48 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl12_48
<=> big_r(sK2,sK8(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f124,plain,
( ! [X2,X1] :
( ~ big_r(sK2,X1)
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl12_18
<=> ! [X2,X1] :
( ~ big_r(X1,X2)
| ~ big_r(sK2,X1)
| ~ big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f550,plain,
( spl12_30
| spl12_2
| ~ spl12_11
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f549,f111,f94,f55,f213]) ).
fof(f213,plain,
( spl12_30
<=> ! [X2] :
( ~ big_r(sK4(sK9),X2)
| ~ big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f55,plain,
( spl12_2
<=> sP0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f94,plain,
( spl12_11
<=> ! [X4,X7] :
( ~ big_p(X7)
| big_r(X4,sK4(X4))
| ~ big_r(X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f111,plain,
( spl12_15
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_r(sK9,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f549,plain,
( ! [X1] :
( ~ big_r(sK4(sK9),X1)
| ~ big_p(X1) )
| spl12_2
| ~ spl12_11
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f306,f57]) ).
fof(f57,plain,
( ~ sP0(sK9)
| spl12_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f306,plain,
( ! [X1] :
( sP0(sK9)
| ~ big_r(sK4(sK9),X1)
| ~ big_p(X1) )
| ~ spl12_11
| ~ spl12_15 ),
inference(resolution,[],[f295,f112]) ).
fof(f112,plain,
( ! [X2,X1] :
( ~ big_r(sK9,X2)
| ~ big_r(X2,X1)
| ~ big_p(X1) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f295,plain,
( ! [X1] :
( big_r(X1,sK4(X1))
| sP0(X1) )
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f290,f40]) ).
fof(f40,plain,
! [X0] :
( big_p(sK6(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(X0,X2) )
& big_r(X0,sK6(X0))
& big_p(sK6(X0))
& big_p(a) ) )
& ( ( big_p(sK7(X0))
& big_r(sK8(X0),sK7(X0))
& big_r(X0,sK8(X0)) )
| ! [X6] :
( ~ big_r(X0,X6)
| ~ big_p(X6) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f17,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
=> ( big_r(X0,sK6(X0))
& big_p(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X4,X5] :
( big_p(X4)
& big_r(X5,X4)
& big_r(X0,X5) )
=> ( big_p(sK7(X0))
& big_r(sK8(X0),sK7(X0))
& big_r(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(X0,X2) )
& ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
& big_p(a) ) )
& ( ? [X4,X5] :
( big_p(X4)
& big_r(X5,X4)
& big_r(X0,X5) )
| ! [X6] :
( ~ big_r(X0,X6)
| ~ big_p(X6) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X5,X4] :
( ~ big_p(X5)
| ~ big_r(X4,X5)
| ~ big_r(X0,X4) )
& ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
& big_p(a) ) )
& ( ? [X5,X4] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X5,X4] :
( ~ big_p(X5)
| ~ big_r(X4,X5)
| ~ big_r(X0,X4) )
& ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
& big_p(a) ) )
& ( ? [X5,X4] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( sP0(X0)
<=> ( ? [X5,X4] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ big_p(a) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f290,plain,
( ! [X1] :
( sP0(X1)
| ~ big_p(sK6(X1))
| big_r(X1,sK4(X1)) )
| ~ spl12_11 ),
inference(resolution,[],[f95,f41]) ).
fof(f41,plain,
! [X0] :
( big_r(X0,sK6(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f95,plain,
( ! [X7,X4] :
( ~ big_r(X4,X7)
| ~ big_p(X7)
| big_r(X4,sK4(X4)) )
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f548,plain,
( spl12_2
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f547,plain,
( $false
| spl12_2
| ~ spl12_12 ),
inference(resolution,[],[f99,f57]) ).
fof(f517,plain,
( spl12_2
| ~ spl12_5
| ~ spl12_21
| ~ spl12_30 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl12_2
| ~ spl12_5
| ~ spl12_21
| ~ spl12_30 ),
inference(subsumption_resolution,[],[f514,f57]) ).
fof(f514,plain,
( sP0(sK9)
| spl12_2
| ~ spl12_5
| ~ spl12_21
| ~ spl12_30 ),
inference(resolution,[],[f511,f251]) ).
fof(f251,plain,
( ! [X1] :
( big_p(sK5(X1))
| sP0(X1) )
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f243,f40]) ).
fof(f243,plain,
( ! [X1] :
( big_p(sK5(X1))
| sP0(X1)
| ~ big_p(sK6(X1)) )
| ~ spl12_5 ),
inference(resolution,[],[f69,f41]) ).
fof(f69,plain,
( ! [X7,X4] :
( ~ big_r(X4,X7)
| ~ big_p(X7)
| big_p(sK5(X4)) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl12_5
<=> ! [X4,X7] :
( ~ big_r(X4,X7)
| big_p(sK5(X4))
| ~ big_p(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f511,plain,
( ~ big_p(sK5(sK9))
| spl12_2
| ~ spl12_21
| ~ spl12_30 ),
inference(subsumption_resolution,[],[f494,f57]) ).
fof(f494,plain,
( ~ big_p(sK5(sK9))
| sP0(sK9)
| ~ spl12_21
| ~ spl12_30 ),
inference(resolution,[],[f388,f214]) ).
fof(f214,plain,
( ! [X2] :
( ~ big_r(sK4(sK9),X2)
| ~ big_p(X2) )
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f388,plain,
( ! [X1] :
( big_r(sK4(X1),sK5(X1))
| sP0(X1) )
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f379,f40]) ).
fof(f379,plain,
( ! [X1] :
( ~ big_p(sK6(X1))
| big_r(sK4(X1),sK5(X1))
| sP0(X1) )
| ~ spl12_21 ),
inference(resolution,[],[f138,f41]) ).
fof(f138,plain,
( ! [X7,X4] :
( ~ big_r(X4,X7)
| ~ big_p(X7)
| big_r(sK4(X4),sK5(X4)) )
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl12_21
<=> ! [X4,X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7)
| big_r(sK4(X4),sK5(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f485,plain,
( spl12_26
| ~ spl12_6
| ~ spl12_8
| ~ spl12_19
| ~ spl12_28 ),
inference(avatar_split_clause,[],[f484,f199,f127,f80,f72,f187]) ).
fof(f72,plain,
( spl12_6
<=> ! [X6,X0] :
( ~ big_r(X0,X6)
| ~ sP0(X0)
| ~ big_p(X6)
| big_r(sK8(X0),sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f80,plain,
( spl12_8
<=> big_p(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f127,plain,
( spl12_19
<=> big_r(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f484,plain,
( big_r(sK8(sK2),sK7(sK2))
| ~ spl12_6
| ~ spl12_8
| ~ spl12_19
| ~ spl12_28 ),
inference(subsumption_resolution,[],[f483,f82]) ).
fof(f82,plain,
( big_p(sK3)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f483,plain,
( ~ big_p(sK3)
| big_r(sK8(sK2),sK7(sK2))
| ~ spl12_6
| ~ spl12_19
| ~ spl12_28 ),
inference(subsumption_resolution,[],[f459,f201]) ).
fof(f201,plain,
( sP0(sK2)
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f459,plain,
( ~ big_p(sK3)
| ~ sP0(sK2)
| big_r(sK8(sK2),sK7(sK2))
| ~ spl12_6
| ~ spl12_19 ),
inference(resolution,[],[f73,f129]) ).
fof(f129,plain,
( big_r(sK2,sK3)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f73,plain,
( ! [X0,X6] :
( ~ big_r(X0,X6)
| ~ sP0(X0)
| big_r(sK8(X0),sK7(X0))
| ~ big_p(X6) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f480,plain,
( ~ spl12_28
| spl12_49
| ~ spl12_8
| ~ spl12_14
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f371,f127,f106,f80,f448,f199]) ).
fof(f106,plain,
( spl12_14
<=> ! [X6,X0] :
( ~ big_r(X0,X6)
| ~ big_p(X6)
| ~ sP0(X0)
| big_p(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f371,plain,
( big_p(sK7(sK2))
| ~ sP0(sK2)
| ~ spl12_8
| ~ spl12_14
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f366,f82]) ).
fof(f366,plain,
( ~ big_p(sK3)
| ~ sP0(sK2)
| big_p(sK7(sK2))
| ~ spl12_14
| ~ spl12_19 ),
inference(resolution,[],[f107,f129]) ).
fof(f107,plain,
( ! [X0,X6] :
( ~ big_r(X0,X6)
| big_p(sK7(X0))
| ~ sP0(X0)
| ~ big_p(X6) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f446,plain,
( spl12_48
| ~ spl12_28
| ~ spl12_8
| ~ spl12_17
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f442,f127,f119,f80,f199,f435]) ).
fof(f119,plain,
( spl12_17
<=> ! [X6,X0] :
( ~ big_r(X0,X6)
| big_r(X0,sK8(X0))
| ~ big_p(X6)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f442,plain,
( ~ sP0(sK2)
| big_r(sK2,sK8(sK2))
| ~ spl12_8
| ~ spl12_17
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f425,f82]) ).
fof(f425,plain,
( big_r(sK2,sK8(sK2))
| ~ big_p(sK3)
| ~ sP0(sK2)
| ~ spl12_17
| ~ spl12_19 ),
inference(resolution,[],[f120,f129]) ).
fof(f120,plain,
( ! [X0,X6] :
( ~ big_r(X0,X6)
| ~ sP0(X0)
| ~ big_p(X6)
| big_r(X0,sK8(X0)) )
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f240,plain,
( spl12_10
| ~ spl12_4
| ~ spl12_13
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f239,f213,f102,f64,f89]) ).
fof(f89,plain,
( spl12_10
<=> big_p(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f64,plain,
( spl12_4
<=> ! [X4] :
( big_r(sK4(X4),sK5(X4))
| big_p(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f102,plain,
( spl12_13
<=> ! [X4] :
( big_p(X4)
| big_p(sK5(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f239,plain,
( big_p(sK9)
| ~ spl12_4
| ~ spl12_13
| ~ spl12_30 ),
inference(subsumption_resolution,[],[f221,f103]) ).
fof(f103,plain,
( ! [X4] :
( big_p(sK5(X4))
| big_p(X4) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f221,plain,
( ~ big_p(sK5(sK9))
| big_p(sK9)
| ~ spl12_4
| ~ spl12_30 ),
inference(resolution,[],[f214,f65]) ).
fof(f65,plain,
( ! [X4] :
( big_r(sK4(X4),sK5(X4))
| big_p(X4) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f215,plain,
( spl12_10
| spl12_30
| ~ spl12_15
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f211,f115,f111,f213,f89]) ).
fof(f115,plain,
( spl12_16
<=> ! [X4] :
( big_p(X4)
| big_r(X4,sK4(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f211,plain,
( ! [X2] :
( ~ big_r(sK4(sK9),X2)
| big_p(sK9)
| ~ big_p(X2) )
| ~ spl12_15
| ~ spl12_16 ),
inference(resolution,[],[f112,f116]) ).
fof(f116,plain,
( ! [X4] :
( big_r(X4,sK4(X4))
| big_p(X4) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f165,plain,
( ~ spl12_7
| spl12_9
| ~ spl12_18
| ~ spl12_20
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f164,plain,
( $false
| ~ spl12_7
| spl12_9
| ~ spl12_18
| ~ spl12_20
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f163,f86]) ).
fof(f86,plain,
( ~ big_p(sK2)
| spl12_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl12_9
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f163,plain,
( big_p(sK2)
| ~ spl12_7
| spl12_9
| ~ spl12_18
| ~ spl12_20
| ~ spl12_22 ),
inference(resolution,[],[f162,f77]) ).
fof(f77,plain,
( ! [X3] :
( big_p(sK10(X3))
| big_p(X3) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl12_7
<=> ! [X3] :
( big_p(sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f162,plain,
( ~ big_p(sK10(sK2))
| spl12_9
| ~ spl12_18
| ~ spl12_20
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f150,f86]) ).
fof(f150,plain,
( ~ big_p(sK10(sK2))
| big_p(sK2)
| spl12_9
| ~ spl12_18
| ~ spl12_20
| ~ spl12_22 ),
inference(resolution,[],[f149,f134]) ).
fof(f134,plain,
( ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) )
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl12_20
<=> ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f149,plain,
( ! [X0] :
( ~ big_r(sK11(sK2),X0)
| ~ big_p(X0) )
| spl12_9
| ~ spl12_18
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f147,f86]) ).
fof(f147,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK11(sK2),X0)
| big_p(sK2) )
| ~ spl12_18
| ~ spl12_22 ),
inference(resolution,[],[f124,f143]) ).
fof(f143,plain,
( ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) )
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl12_22
<=> ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f144,plain,
( spl12_22
| spl12_1
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f44,f59,f51,f142]) ).
fof(f51,plain,
( spl12_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f59,plain,
( spl12_3
<=> big_p(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f44,plain,
! [X3] :
( ~ big_p(a)
| sP1
| big_r(X3,sK11(X3))
| big_p(X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ~ sP1
| ( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(sK9,X2) )
& big_p(a)
& ~ big_p(sK9) )
| ~ sP0(sK9) )
& ( sP1
| ! [X3] :
( ( ( big_p(sK10(X3))
& big_r(sK11(X3),sK10(X3))
& big_r(X3,sK11(X3)) )
| ~ big_p(a)
| big_p(X3) )
& sP0(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f22,f24,f23]) ).
fof(f23,plain,
( ? [X0] :
( ( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(X0,X2) )
& big_p(a)
& ~ big_p(X0) )
| ~ sP0(X0) )
=> ( ( ! [X2,X1] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(sK9,X2) )
& big_p(a)
& ~ big_p(sK9) )
| ~ sP0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X3] :
( ? [X4,X5] :
( big_p(X4)
& big_r(X5,X4)
& big_r(X3,X5) )
=> ( big_p(sK10(X3))
& big_r(sK11(X3),sK10(X3))
& big_r(X3,sK11(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ( ~ sP1
| ? [X0] :
( ( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(X0,X2) )
& big_p(a)
& ~ big_p(X0) )
| ~ sP0(X0) ) )
& ( sP1
| ! [X3] :
( ( ? [X4,X5] :
( big_p(X4)
& big_r(X5,X4)
& big_r(X3,X5) )
| ~ big_p(a)
| big_p(X3) )
& sP0(X3) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( ( ~ sP1
| ? [X0] :
( ( ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(X0,X2) )
& big_p(a)
& ~ big_p(X0) )
| ~ sP0(X0) ) )
& ( sP1
| ! [X0] :
( ( ? [X1,X2] :
( big_p(X1)
& big_r(X2,X1)
& big_r(X0,X2) )
| ~ big_p(a)
| big_p(X0) )
& sP0(X0) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X0] :
( ( ? [X1,X2] :
( big_p(X1)
& big_r(X2,X1)
& big_r(X0,X2) )
| ~ big_p(a)
| big_p(X0) )
& sP0(X0) )
<~> sP1 ),
inference(definition_folding,[],[f5,f7,f6]) ).
fof(f7,plain,
( sP1
<=> ! [X6] :
( ? [X9,X8] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X6,X7) )
& big_p(X6) )
| ~ big_p(a) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f5,plain,
( ! [X0] :
( ( ? [X1,X2] :
( big_p(X1)
& big_r(X2,X1)
& big_r(X0,X2) )
| ~ big_p(a)
| big_p(X0) )
& ( ? [X5,X4] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ big_p(a) ) )
<~> ! [X6] :
( ? [X9,X8] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X6,X7) )
& big_p(X6) )
| ~ big_p(a) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
( ( ? [X1,X2] :
( big_p(X1)
& big_r(X2,X1)
& big_r(X0,X2) )
| ~ big_p(a)
| big_p(X0) )
& ( ? [X5,X4] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ! [X3] :
( ~ big_r(X0,X3)
| ~ big_p(X3) )
| ~ big_p(a) ) )
<~> ! [X6] :
( ? [X9,X8] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X6,X7) )
& big_p(X6) )
| ~ big_p(a) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0] :
( ( ? [X5,X4] :
( big_p(X5)
& big_r(X4,X5)
& big_r(X0,X4) )
| ~ ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
| ~ big_p(a) )
& ( ? [X1,X2] :
( big_p(X1)
& big_r(X2,X1)
& big_r(X0,X2) )
| ~ big_p(a)
| big_p(X0) ) )
<=> ! [X6] :
( ( ( big_p(X6)
=> ? [X7] :
( big_r(X6,X7)
& big_p(X7) ) )
& big_p(a) )
=> ? [X9,X8] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X4] :
( ( ~ big_p(a)
| ? [X5,X6] :
( big_r(X6,X5)
& big_p(X5)
& big_r(X4,X6) )
| big_p(X4) )
& ( ~ ? [X7] :
( big_p(X7)
& big_r(X4,X7) )
| ~ big_p(a)
| ? [X9,X8] :
( big_r(X4,X9)
& big_p(X8)
& big_r(X9,X8) ) ) )
<=> ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X4] :
( ( ~ big_p(a)
| ? [X5,X6] :
( big_r(X6,X5)
& big_p(X5)
& big_r(X4,X6) )
| big_p(X4) )
& ( ~ ? [X7] :
( big_p(X7)
& big_r(X4,X7) )
| ~ big_p(a)
| ? [X9,X8] :
( big_r(X4,X9)
& big_p(X8)
& big_r(X9,X8) ) ) )
<=> ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38) ).
fof(f140,plain,
( spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f32,f51,f59]) ).
fof(f32,plain,
( sP1
| big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( sP1
| ( ! [X1,X2] :
( ~ big_r(X1,X2)
| ~ big_r(sK2,X1)
| ~ big_p(X2) )
& ( ( big_p(sK3)
& big_r(sK2,sK3) )
| ~ big_p(sK2) )
& big_p(a) ) )
& ( ! [X4] :
( ( big_r(sK4(X4),sK5(X4))
& big_r(X4,sK4(X4))
& big_p(sK5(X4)) )
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
& big_p(X4) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f10,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ big_r(X1,X2)
| ~ big_r(X0,X1)
| ~ big_p(X2) )
& ( ? [X3] :
( big_p(X3)
& big_r(X0,X3) )
| ~ big_p(X0) )
& big_p(a) )
=> ( ! [X2,X1] :
( ~ big_r(X1,X2)
| ~ big_r(sK2,X1)
| ~ big_p(X2) )
& ( ? [X3] :
( big_p(X3)
& big_r(sK2,X3) )
| ~ big_p(sK2) )
& big_p(a) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X3] :
( big_p(X3)
& big_r(sK2,X3) )
=> ( big_p(sK3)
& big_r(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X4] :
( ? [X5,X6] :
( big_r(X5,X6)
& big_r(X4,X5)
& big_p(X6) )
=> ( big_r(sK4(X4),sK5(X4))
& big_r(X4,sK4(X4))
& big_p(sK5(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ( sP1
| ? [X0] :
( ! [X1,X2] :
( ~ big_r(X1,X2)
| ~ big_r(X0,X1)
| ~ big_p(X2) )
& ( ? [X3] :
( big_p(X3)
& big_r(X0,X3) )
| ~ big_p(X0) )
& big_p(a) ) )
& ( ! [X4] :
( ? [X5,X6] :
( big_r(X5,X6)
& big_r(X4,X5)
& big_p(X6) )
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X4,X7) )
& big_p(X4) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ( sP1
| ? [X6] :
( ! [X9,X8] :
( ~ big_r(X9,X8)
| ~ big_r(X6,X9)
| ~ big_p(X8) )
& ( ? [X7] :
( big_p(X7)
& big_r(X6,X7) )
| ~ big_p(X6) )
& big_p(a) ) )
& ( ! [X6] :
( ? [X9,X8] :
( big_r(X9,X8)
& big_r(X6,X9)
& big_p(X8) )
| ( ! [X7] :
( ~ big_p(X7)
| ~ big_r(X6,X7) )
& big_p(X6) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f139,plain,
( ~ spl12_3
| ~ spl12_1
| spl12_21 ),
inference(avatar_split_clause,[],[f31,f137,f51,f59]) ).
fof(f31,plain,
! [X7,X4] :
( ~ big_r(X4,X7)
| big_r(sK4(X4),sK5(X4))
| ~ big_p(X7)
| ~ sP1
| ~ big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f135,plain,
( spl12_20
| ~ spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f45,f51,f59,f133]) ).
fof(f45,plain,
! [X3] :
( sP1
| ~ big_p(a)
| big_r(sK11(X3),sK10(X3))
| big_p(X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f131,plain,
( spl12_3
| spl12_12 ),
inference(avatar_split_clause,[],[f39,f98,f59]) ).
fof(f39,plain,
! [X0] :
( sP0(X0)
| big_p(a) ),
inference(cnf_transformation,[],[f20]) ).
fof(f130,plain,
( spl12_19
| ~ spl12_9
| spl12_1 ),
inference(avatar_split_clause,[],[f33,f51,f84,f127]) ).
fof(f33,plain,
( sP1
| ~ big_p(sK2)
| big_r(sK2,sK3) ),
inference(cnf_transformation,[],[f14]) ).
fof(f125,plain,
( spl12_1
| spl12_18 ),
inference(avatar_split_clause,[],[f35,f123,f51]) ).
fof(f35,plain,
! [X2,X1] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_r(sK2,X1)
| sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f121,plain,
( spl12_17
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f36,f59,f119]) ).
fof(f36,plain,
! [X0,X6] :
( ~ big_p(a)
| ~ big_r(X0,X6)
| ~ sP0(X0)
| ~ big_p(X6)
| big_r(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f117,plain,
( ~ spl12_1
| ~ spl12_3
| spl12_16 ),
inference(avatar_split_clause,[],[f28,f115,f59,f51]) ).
fof(f28,plain,
! [X4] :
( big_p(X4)
| big_r(X4,sK4(X4))
| ~ big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f113,plain,
( ~ spl12_1
| spl12_15 ),
inference(avatar_split_clause,[],[f109,f111,f51]) ).
fof(f109,plain,
! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ sP1 ),
inference(subsumption_resolution,[],[f49,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| sP0(X0)
| ~ big_p(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f49,plain,
! [X2,X1] :
( ~ sP1
| ~ big_r(X2,X1)
| ~ sP0(sK9)
| ~ big_p(X1)
| ~ big_r(sK9,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f108,plain,
( ~ spl12_3
| spl12_14 ),
inference(avatar_split_clause,[],[f38,f106,f59]) ).
fof(f38,plain,
! [X0,X6] :
( ~ big_r(X0,X6)
| big_p(sK7(X0))
| ~ sP0(X0)
| ~ big_p(X6)
| ~ big_p(a) ),
inference(cnf_transformation,[],[f20]) ).
fof(f104,plain,
( ~ spl12_1
| spl12_13
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f26,f59,f102,f51]) ).
fof(f26,plain,
! [X4] :
( ~ big_p(a)
| big_p(X4)
| ~ sP1
| big_p(sK5(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f100,plain,
( spl12_12
| spl12_1 ),
inference(avatar_split_clause,[],[f43,f51,f98]) ).
fof(f43,plain,
! [X3] :
( sP1
| sP0(X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f96,plain,
( ~ spl12_3
| ~ spl12_1
| spl12_11 ),
inference(avatar_split_clause,[],[f29,f94,f51,f59]) ).
fof(f29,plain,
! [X7,X4] :
( ~ big_p(X7)
| ~ sP1
| ~ big_r(X4,X7)
| big_r(X4,sK4(X4))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f92,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f47,f89,f55,f51]) ).
fof(f47,plain,
( ~ big_p(sK9)
| ~ sP0(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f87,plain,
( spl12_1
| spl12_8
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f34,f84,f80,f51]) ).
fof(f34,plain,
( ~ big_p(sK2)
| big_p(sK3)
| sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f78,plain,
( spl12_1
| spl12_7
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f46,f59,f76,f51]) ).
fof(f46,plain,
! [X3] :
( ~ big_p(a)
| big_p(sK10(X3))
| sP1
| big_p(X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f74,plain,
( ~ spl12_3
| spl12_6 ),
inference(avatar_split_clause,[],[f37,f72,f59]) ).
fof(f37,plain,
! [X0,X6] :
( ~ big_r(X0,X6)
| ~ big_p(a)
| big_r(sK8(X0),sK7(X0))
| ~ big_p(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f70,plain,
( ~ spl12_1
| ~ spl12_3
| spl12_5 ),
inference(avatar_split_clause,[],[f27,f68,f59,f51]) ).
fof(f27,plain,
! [X7,X4] :
( ~ big_r(X4,X7)
| ~ big_p(a)
| ~ sP1
| ~ big_p(X7)
| big_p(sK5(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f66,plain,
( ~ spl12_1
| spl12_4
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f30,f59,f64,f51]) ).
fof(f30,plain,
! [X4] :
( ~ big_p(a)
| big_r(sK4(X4),sK5(X4))
| big_p(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f62,plain,
( ~ spl12_1
| ~ spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f48,f59,f55,f51]) ).
fof(f48,plain,
( big_p(a)
| ~ sP0(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 30 21:29:15 EDT 2022
% 0.15/0.37 % CPUTime :
% 1.13/0.52 % (13534)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.13/0.52 % (13519)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.13/0.52 % (13517)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.13/0.52 % (13517)Instruction limit reached!
% 1.13/0.52 % (13517)------------------------------
% 1.13/0.52 % (13517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.13/0.52 % (13517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.13/0.52 % (13517)Termination reason: Unknown
% 1.13/0.52 % (13517)Termination phase: Preprocessing 3
% 1.13/0.52
% 1.13/0.52 % (13517)Memory used [KB]: 895
% 1.13/0.52 % (13517)Time elapsed: 0.002 s
% 1.13/0.52 % (13517)Instructions burned: 2 (million)
% 1.13/0.52 % (13517)------------------------------
% 1.13/0.52 % (13517)------------------------------
% 1.13/0.52 % (13514)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.13/0.53 % (13525)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.13/0.54 % (13527)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.54 % (13530)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.30/0.54 % (13536)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.30/0.54 % (13518)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.54 % (13515)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.55 TRYING [1]
% 1.30/0.55 TRYING [2]
% 1.30/0.55 TRYING [3]
% 1.30/0.55 % (13534)First to succeed.
% 1.30/0.55 % (13534)Refutation found. Thanks to Tanya!
% 1.30/0.55 % SZS status Theorem for theBenchmark
% 1.30/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.55 % (13534)------------------------------
% 1.30/0.55 % (13534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55 % (13534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55 % (13534)Termination reason: Refutation
% 1.30/0.55
% 1.30/0.55 % (13534)Memory used [KB]: 5756
% 1.30/0.55 % (13534)Time elapsed: 0.122 s
% 1.30/0.55 % (13534)Instructions burned: 13 (million)
% 1.30/0.55 % (13534)------------------------------
% 1.30/0.55 % (13534)------------------------------
% 1.30/0.55 % (13508)Success in time 0.174 s
%------------------------------------------------------------------------------