TSTP Solution File: SYN067-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN067-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n010.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 : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 76
% Syntax : Number of formulae : 235 ( 1 unt; 0 def)
% Number of atoms : 911 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1175 ( 499 ~; 650 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 27 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 194 ( 194 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f810,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f66,f73,f90,f95,f102,f106,f110,f117,f121,f122,f126,f130,f131,f132,f137,f138,f139,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f163,f164,f165,f166,f168,f170,f171,f172,f174,f175,f176,f177,f178,f232,f348,f356,f416,f419,f426,f447,f472,f487,f496,f644,f681,f688,f741,f809]) ).
fof(f809,plain,
( spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_15
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_15
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f807,f320]) ).
fof(f320,plain,
( big_p(sk3(sk9))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl0_33
<=> big_p(sk3(sk9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f807,plain,
( ~ big_p(sk3(sk9))
| spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_15 ),
inference(resolution,[],[f761,f704]) ).
fof(f704,plain,
( big_r(sk4(sk9),sk3(sk9))
| spl0_8
| ~ spl0_13 ),
inference(resolution,[],[f85,f105]) ).
fof(f105,plain,
( ! [X2] :
( big_p(X2)
| big_r(sk4(X2),sk3(X2)) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_13
<=> ! [X2] :
( big_r(sk4(X2),sk3(X2))
| big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f85,plain,
( ~ big_p(sk9)
| spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_8
<=> big_p(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f761,plain,
( ! [X0] :
( ~ big_r(sk4(sk9),X0)
| ~ big_p(X0) )
| spl0_8
| ~ spl0_11
| ~ spl0_15 ),
inference(resolution,[],[f760,f113]) ).
fof(f113,plain,
( ! [X2,X1] :
( ~ big_r(sk9,X1)
| ~ big_p(X2)
| ~ big_r(X1,X2) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_15
<=> ! [X2,X1] :
( ~ big_r(X1,X2)
| ~ big_r(sk9,X1)
| ~ big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f760,plain,
( big_r(sk9,sk4(sk9))
| spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f98,f85]) ).
fof(f98,plain,
( ! [X2] :
( big_p(X2)
| big_r(X2,sk4(X2)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl0_11
<=> ! [X2] :
( big_p(X2)
| big_r(X2,sk4(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f741,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| ~ spl0_3
| spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f739,f208]) ).
fof(f208,plain,
( big_p(sk1(sk9))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl0_25
<=> big_p(sk1(sk9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f739,plain,
( ~ big_p(sk1(sk9))
| ~ spl0_3
| spl0_8
| ~ spl0_15
| ~ spl0_18 ),
inference(resolution,[],[f707,f705]) ).
fof(f705,plain,
( big_r(sk2(sk9),sk1(sk9))
| ~ spl0_3
| spl0_8 ),
inference(resolution,[],[f85,f65]) ).
fof(f65,plain,
( ! [X3] :
( big_p(X3)
| big_r(sk2(X3),sk1(X3)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_3
<=> ! [X3] :
( big_r(sk2(X3),sk1(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f707,plain,
( ! [X0] :
( ~ big_r(sk2(sk9),X0)
| ~ big_p(X0) )
| spl0_8
| ~ spl0_15
| ~ spl0_18 ),
inference(resolution,[],[f706,f113]) ).
fof(f706,plain,
( big_r(sk9,sk2(sk9))
| spl0_8
| ~ spl0_18 ),
inference(resolution,[],[f85,f125]) ).
fof(f125,plain,
( ! [X3] :
( big_p(X3)
| big_r(X3,sk2(X3)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_18
<=> ! [X3] :
( big_p(X3)
| big_r(X3,sk2(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f688,plain,
( spl0_8
| ~ spl0_17
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f687,plain,
( $false
| spl0_8
| ~ spl0_17
| spl0_25 ),
inference(subsumption_resolution,[],[f533,f85]) ).
fof(f533,plain,
( big_p(sk9)
| ~ spl0_17
| spl0_25 ),
inference(resolution,[],[f120,f207]) ).
fof(f207,plain,
( ~ big_p(sk1(sk9))
| spl0_25 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f120,plain,
( ! [X3] :
( big_p(sk1(X3))
| big_p(X3) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl0_17
<=> ! [X3] :
( big_p(X3)
| big_p(sk1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f681,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_22
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f680,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_22
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f678,f187]) ).
fof(f187,plain,
( big_p(sk1(sk7))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl0_22
<=> big_p(sk1(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f678,plain,
( ~ big_p(sk1(sk7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_42 ),
inference(resolution,[],[f652,f486]) ).
fof(f486,plain,
( big_r(sk2(sk7),sk1(sk7))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl0_42
<=> big_r(sk2(sk7),sk1(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f652,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f645,f116]) ).
fof(f116,plain,
( ! [X3,X0] :
( ~ big_r(sk7,X0)
| ~ big_p(X3)
| ~ big_r(X0,X3) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_16
<=> ! [X0,X3] :
( ~ big_p(X3)
| ~ big_r(sk7,X0)
| ~ big_r(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f645,plain,
( big_r(sk7,sk2(sk7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f541,f94]) ).
fof(f94,plain,
( big_p(sk8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_10
<=> big_p(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f541,plain,
( big_r(sk7,sk2(sk7))
| ~ big_p(sk8)
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f101,f81]) ).
fof(f81,plain,
( big_r(sk7,sk8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_7
<=> big_r(sk7,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f101,plain,
( ! [X3,X0] :
( ~ big_r(X0,X3)
| ~ big_p(X3)
| big_r(X0,sk2(X0)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_12
<=> ! [X0,X3] :
( big_r(X0,sk2(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f644,plain,
( spl0_6
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f643,plain,
( $false
| spl0_6
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f642,f187]) ).
fof(f642,plain,
( ~ big_p(sk1(sk7))
| spl0_6
| ~ spl0_16
| ~ spl0_18
| ~ spl0_42 ),
inference(resolution,[],[f500,f486]) ).
fof(f500,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| spl0_6
| ~ spl0_16
| ~ spl0_18 ),
inference(resolution,[],[f495,f116]) ).
fof(f495,plain,
( big_r(sk7,sk2(sk7))
| spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f77,f125]) ).
fof(f77,plain,
( ~ big_p(sk7)
| spl0_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_6
<=> big_p(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f496,plain,
( spl0_42
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f494,f75,f64,f484]) ).
fof(f494,plain,
( big_r(sk2(sk7),sk1(sk7))
| ~ spl0_3
| spl0_6 ),
inference(resolution,[],[f77,f65]) ).
fof(f487,plain,
( spl0_42
| ~ spl0_10
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f440,f79,f68,f92,f484]) ).
fof(f68,plain,
( spl0_4
<=> ! [X0,X3] :
( big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f440,plain,
( ~ big_p(sk8)
| big_r(sk2(sk7),sk1(sk7))
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f81,f69]) ).
fof(f69,plain,
( ! [X3,X0] :
( ~ big_r(X0,X3)
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f472,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f470,f443]) ).
fof(f443,plain,
( big_p(sk5(sk7))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f439,f94]) ).
fof(f439,plain,
( big_p(sk5(sk7))
| ~ big_p(sk8)
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f81,f72]) ).
fof(f72,plain,
( ! [X2,X1] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| big_p(sk5(X1)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_5
<=> ! [X2,X1] :
( big_p(sk5(X1))
| ~ big_p(X2)
| ~ big_r(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f470,plain,
( ~ big_p(sk5(sk7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f449,f448]) ).
fof(f448,plain,
( big_r(sk6(sk7),sk5(sk7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f437,f94]) ).
fof(f437,plain,
( ~ big_p(sk8)
| big_r(sk6(sk7),sk5(sk7))
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[],[f81,f129]) ).
fof(f129,plain,
( ! [X2,X1] :
( ~ big_r(X1,X2)
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl0_19
<=> ! [X2,X1] :
( ~ big_r(X1,X2)
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f449,plain,
( ! [X0] :
( ~ big_r(sk6(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(resolution,[],[f444,f116]) ).
fof(f444,plain,
( big_r(sk7,sk6(sk7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f438,f94]) ).
fof(f438,plain,
( big_r(sk7,sk6(sk7))
| ~ big_p(sk8)
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f81,f109]) ).
fof(f109,plain,
( ! [X2,X1] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| big_r(X1,sk6(X1)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl0_14
<=> ! [X2,X1] :
( ~ big_p(X2)
| big_r(X1,sk6(X1))
| ~ big_r(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f447,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f446,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| spl0_22 ),
inference(subsumption_resolution,[],[f445,f94]) ).
fof(f445,plain,
( ~ big_p(sk8)
| ~ spl0_2
| ~ spl0_7
| spl0_22 ),
inference(subsumption_resolution,[],[f441,f186]) ).
fof(f186,plain,
( ~ big_p(sk1(sk7))
| spl0_22 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f441,plain,
( big_p(sk1(sk7))
| ~ big_p(sk8)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f81,f61]) ).
fof(f61,plain,
( ! [X3,X0] :
( ~ big_r(X0,X3)
| ~ big_p(X3)
| big_p(sk1(X0)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_2
<=> ! [X0,X3] :
( ~ big_p(X3)
| big_p(sk1(X0))
| ~ big_r(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f426,plain,
( spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f424,f294]) ).
fof(f294,plain,
( big_p(sk3(sk7))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl0_29
<=> big_p(sk3(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f424,plain,
( ~ big_p(sk3(sk7))
| spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f421,f249]) ).
fof(f249,plain,
( big_r(sk4(sk7),sk3(sk7))
| spl0_6
| ~ spl0_13 ),
inference(resolution,[],[f105,f77]) ).
fof(f421,plain,
( ! [X1] :
( ~ big_r(sk4(sk7),X1)
| ~ big_p(X1) )
| spl0_6
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f116,f239]) ).
fof(f239,plain,
( big_r(sk7,sk4(sk7))
| spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f98,f77]) ).
fof(f419,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f417,f368]) ).
fof(f368,plain,
( big_p(sk5(sk10))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f359,f136]) ).
fof(f136,plain,
( big_p(sk11)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl0_20
<=> big_p(sk11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f359,plain,
( ~ big_p(sk11)
| big_p(sk5(sk10))
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f89,f72]) ).
fof(f89,plain,
( big_r(sk10,sk11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_9
<=> big_r(sk10,sk11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f417,plain,
( ~ big_p(sk5(sk10))
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f377,f366]) ).
fof(f366,plain,
( big_r(sk6(sk10),sk5(sk10))
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f357,f136]) ).
fof(f357,plain,
( ~ big_p(sk11)
| big_r(sk6(sk10),sk5(sk10))
| ~ spl0_9
| ~ spl0_19 ),
inference(resolution,[],[f89,f129]) ).
fof(f377,plain,
( ! [X0] :
( ~ big_r(sk6(sk10),X0)
| ~ big_p(X0) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f367,f142]) ).
fof(f142,plain,
( ! [X2,X1] :
( ~ big_r(sk10,X1)
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_21
<=> ! [X2,X1] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_r(sk10,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f367,plain,
( big_r(sk10,sk6(sk10))
| ~ spl0_9
| ~ spl0_14
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f358,f136]) ).
fof(f358,plain,
( big_r(sk10,sk6(sk10))
| ~ big_p(sk11)
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f89,f109]) ).
fof(f416,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f414,f364]) ).
fof(f364,plain,
( big_p(sk1(sk10))
| ~ spl0_2
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f362,f136]) ).
fof(f362,plain,
( big_p(sk1(sk10))
| ~ big_p(sk11)
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f89,f61]) ).
fof(f414,plain,
( ~ big_p(sk1(sk10))
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f370,f365]) ).
fof(f365,plain,
( big_r(sk2(sk10),sk1(sk10))
| ~ spl0_4
| ~ spl0_9
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f360,f136]) ).
fof(f360,plain,
( ~ big_p(sk11)
| big_r(sk2(sk10),sk1(sk10))
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f89,f69]) ).
fof(f370,plain,
( ! [X0] :
( ~ big_r(sk2(sk10),X0)
| ~ big_p(X0) )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f363,f142]) ).
fof(f363,plain,
( big_r(sk10,sk2(sk10))
| ~ spl0_9
| ~ spl0_12
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f361,f136]) ).
fof(f361,plain,
( big_r(sk10,sk2(sk10))
| ~ big_p(sk11)
| ~ spl0_9
| ~ spl0_12 ),
inference(resolution,[],[f89,f101]) ).
fof(f356,plain,
( spl0_8
| ~ spl0_1
| spl0_33 ),
inference(avatar_split_clause,[],[f349,f319,f57,f83]) ).
fof(f57,plain,
( spl0_1
<=> ! [X2] :
( big_p(X2)
| big_p(sk3(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f349,plain,
( big_p(sk9)
| ~ spl0_1
| spl0_33 ),
inference(resolution,[],[f321,f58]) ).
fof(f58,plain,
( ! [X2] :
( big_p(sk3(X2))
| big_p(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f321,plain,
( ~ big_p(sk3(sk9))
| spl0_33 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f348,plain,
( ~ spl0_1
| spl0_6
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl0_1
| spl0_6
| spl0_29 ),
inference(subsumption_resolution,[],[f342,f77]) ).
fof(f342,plain,
( big_p(sk7)
| ~ spl0_1
| spl0_29 ),
inference(resolution,[],[f295,f58]) ).
fof(f295,plain,
( ~ big_p(sk3(sk7))
| spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f232,plain,
( spl0_6
| ~ spl0_17
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f231,plain,
( $false
| spl0_6
| ~ spl0_17
| spl0_22 ),
inference(subsumption_resolution,[],[f228,f77]) ).
fof(f228,plain,
( big_p(sk7)
| ~ spl0_17
| spl0_22 ),
inference(resolution,[],[f186,f120]) ).
fof(f178,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f23,f100,f57]) ).
fof(f23,axiom,
! [X2,X3,X0] :
( big_r(X0,sk2(X0))
| big_p(sk3(X2))
| big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_23) ).
fof(f177,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f68,f104]) ).
fof(f16,axiom,
! [X2,X3,X0] :
( big_r(sk2(X0),sk1(X0))
| big_p(X2)
| big_r(sk4(X2),sk3(X2))
| ~ big_p(X3)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_16) ).
fof(f176,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f64,f104]) ).
fof(f25,axiom,
! [X3,X0] :
( big_p(X3)
| big_r(sk4(X0),sk3(X0))
| big_r(sk2(X3),sk1(X3))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_25) ).
fof(f175,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f71,f119]) ).
fof(f33,axiom,
! [X2,X3,X0] :
( ~ big_r(X2,X0)
| big_p(sk5(X2))
| big_p(X3)
| ~ big_p(X0)
| big_p(sk1(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_33) ).
fof(f174,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f21,f97,f60]) ).
fof(f21,axiom,
! [X2,X3,X0] :
( big_r(X2,sk4(X2))
| big_p(X2)
| big_p(sk1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_21) ).
fof(f172,plain,
( spl0_10
| spl0_20
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f38,f83,f75,f134,f92]) ).
fof(f38,axiom,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_p(sk11)
| big_p(sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_38) ).
fof(f171,plain,
( spl0_10
| spl0_9
| spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f42,f75,f112,f87,f92]) ).
fof(f42,axiom,
! [X3,X0] :
( ~ big_p(sk7)
| ~ big_r(X0,X3)
| ~ big_r(sk9,X0)
| big_r(sk10,sk11)
| ~ big_p(X3)
| big_p(sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_42) ).
fof(f170,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f31,f128,f119]) ).
fof(f31,axiom,
! [X2,X3,X0] :
( big_r(sk6(X2),sk5(X2))
| big_p(sk1(X3))
| big_p(X3)
| ~ big_p(X0)
| ~ big_r(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_31) ).
fof(f168,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f68,f97]) ).
fof(f18,axiom,
! [X2,X3,X0] :
( big_r(sk2(X0),sk1(X0))
| ~ big_p(X3)
| big_p(X2)
| ~ big_r(X0,X3)
| big_r(X2,sk4(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_18) ).
fof(f166,plain,
( spl0_18
| spl0_11 ),
inference(avatar_split_clause,[],[f28,f97,f124]) ).
fof(f28,axiom,
! [X3,X0] :
( big_r(X0,sk4(X0))
| big_r(X3,sk2(X3))
| big_p(X0)
| big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_28) ).
fof(f165,plain,
( spl0_18
| spl0_1 ),
inference(avatar_split_clause,[],[f30,f57,f124]) ).
fof(f30,axiom,
! [X3,X0] :
( big_p(X0)
| big_r(X3,sk2(X3))
| big_p(sk3(X0))
| big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_30) ).
fof(f164,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f68,f57]) ).
fof(f22,axiom,
! [X2,X3,X0] :
( ~ big_r(X0,X3)
| big_r(sk2(X0),sk1(X0))
| big_p(X2)
| big_p(sk3(X2))
| ~ big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_22) ).
fof(f163,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f71,f60]) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( big_p(sk5(X1))
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_r(X0,X3)
| big_p(sk1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_9) ).
fof(f161,plain,
( spl0_4
| spl0_19 ),
inference(avatar_split_clause,[],[f1,f128,f68]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( big_r(sk6(X1),sk5(X1))
| ~ big_r(X1,X2)
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_1) ).
fof(f160,plain,
( spl0_7
| ~ spl0_6
| spl0_21
| spl0_15 ),
inference(avatar_split_clause,[],[f49,f112,f141,f75,f79]) ).
fof(f49,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X3)
| ~ big_p(X2)
| ~ big_p(sk7)
| ~ big_r(sk9,X0)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| ~ big_r(sk10,X1)
| big_r(sk7,sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_49) ).
fof(f159,plain,
( ~ spl0_6
| spl0_10
| ~ spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f40,f141,f83,f92,f75]) ).
fof(f40,axiom,
! [X3,X0] :
( ~ big_r(X0,X3)
| ~ big_p(X3)
| ~ big_p(sk9)
| big_p(sk8)
| ~ big_r(sk10,X0)
| ~ big_p(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_40) ).
fof(f158,plain,
( spl0_7
| ~ spl0_6
| ~ spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f44,f134,f83,f75,f79]) ).
fof(f44,axiom,
( big_p(sk11)
| ~ big_p(sk9)
| ~ big_p(sk7)
| big_r(sk7,sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_44) ).
fof(f157,plain,
( spl0_21
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f55,f115,f112,f141]) ).
fof(f55,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_r(sk10,X5)
| ~ big_p(X2)
| ~ big_p(X4)
| ~ big_p(X3)
| ~ big_r(sk7,X0)
| ~ big_r(sk9,X1)
| ~ big_r(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_55) ).
fof(f156,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f4,f108,f100]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X2)
| big_r(X0,sk2(X0))
| ~ big_p(X2)
| big_r(X1,sk6(X1))
| ~ big_p(X3)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_4) ).
fof(f155,plain,
( spl0_18
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f104,f124]) ).
fof(f27,axiom,
! [X3,X0] :
( big_r(sk4(X0),sk3(X0))
| big_r(X3,sk2(X3))
| big_p(X3)
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_27) ).
fof(f154,plain,
( spl0_21
| ~ spl0_8
| spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f46,f75,f79,f83,f141]) ).
fof(f46,axiom,
! [X3,X0] :
( ~ big_p(sk7)
| big_r(sk7,sk8)
| ~ big_p(sk9)
| ~ big_p(X3)
| ~ big_r(sk10,X0)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_46) ).
fof(f153,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f104,f100]) ).
fof(f17,axiom,
! [X2,X3,X0] :
( big_r(sk4(X2),sk3(X2))
| big_p(X2)
| ~ big_p(X3)
| ~ big_r(X0,X3)
| big_r(X0,sk2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_17) ).
fof(f152,plain,
( spl0_16
| ~ spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f52,f141,f83,f115]) ).
fof(f52,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(sk9)
| ~ big_r(X0,X3)
| ~ big_p(X3)
| ~ big_r(sk7,X0)
| ~ big_p(X2)
| ~ big_r(sk10,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_52) ).
fof(f151,plain,
( ~ spl0_8
| spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f50,f134,f115,f83]) ).
fof(f50,axiom,
! [X3,X0] :
( big_p(sk11)
| ~ big_p(X3)
| ~ big_p(sk9)
| ~ big_r(X0,X3)
| ~ big_r(sk7,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_50) ).
fof(f150,plain,
( spl0_16
| spl0_20
| spl0_15 ),
inference(avatar_split_clause,[],[f53,f112,f134,f115]) ).
fof(f53,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(sk9,X1)
| big_p(sk11)
| ~ big_r(sk7,X0)
| ~ big_p(X3)
| ~ big_r(X0,X3)
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_53) ).
fof(f149,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f8,f100,f71]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X3)
| ~ big_r(X0,X3)
| big_p(sk5(X1))
| big_r(X0,sk2(X0))
| ~ big_p(X2)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_8) ).
fof(f148,plain,
( ~ spl0_8
| spl0_16
| spl0_9 ),
inference(avatar_split_clause,[],[f51,f87,f115,f83]) ).
fof(f51,axiom,
! [X3,X0] :
( big_r(sk10,sk11)
| ~ big_r(sk7,X0)
| ~ big_p(sk9)
| ~ big_r(X0,X3)
| ~ big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_51) ).
fof(f147,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f34,f119,f104]) ).
fof(f34,axiom,
! [X3,X0] :
( big_p(sk1(X3))
| big_r(sk4(X0),sk3(X0))
| big_p(X0)
| big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_34) ).
fof(f146,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f26,f97,f64]) ).
fof(f26,axiom,
! [X3,X0] :
( big_p(X0)
| big_p(X3)
| big_r(sk2(X3),sk1(X3))
| big_r(X0,sk4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_26) ).
fof(f145,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f108,f64]) ).
fof(f11,axiom,
! [X2,X3,X0] :
( big_r(X2,sk6(X2))
| big_p(X3)
| ~ big_r(X2,X0)
| big_r(sk2(X3),sk1(X3))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_11) ).
fof(f144,plain,
( spl0_17
| spl0_1 ),
inference(avatar_split_clause,[],[f36,f57,f119]) ).
fof(f36,axiom,
! [X3,X0] :
( big_p(sk3(X0))
| big_p(sk1(X3))
| big_p(X0)
| big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_36) ).
fof(f143,plain,
( spl0_10
| ~ spl0_6
| spl0_21
| spl0_15 ),
inference(avatar_split_clause,[],[f43,f112,f141,f75,f92]) ).
fof(f43,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_r(sk10,X1)
| ~ big_p(sk7)
| ~ big_r(sk9,X0)
| big_p(sk8)
| ~ big_p(X3)
| ~ big_p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_43) ).
fof(f139,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f2,f128,f100]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(X3)
| big_r(sk6(X1),sk5(X1))
| ~ big_r(X0,X3)
| big_r(X0,sk2(X0))
| ~ big_p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_2) ).
fof(f138,plain,
( spl0_10
| spl0_20
| ~ spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f41,f112,f75,f134,f92]) ).
fof(f41,axiom,
! [X3,X0] :
( ~ big_p(X3)
| ~ big_p(sk7)
| big_p(sk11)
| big_p(sk8)
| ~ big_r(sk9,X0)
| ~ big_r(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_41) ).
fof(f137,plain,
( ~ spl0_6
| spl0_15
| spl0_7
| spl0_20 ),
inference(avatar_split_clause,[],[f47,f134,f79,f112,f75]) ).
fof(f47,axiom,
! [X3,X0] :
( big_p(sk11)
| big_r(sk7,sk8)
| ~ big_p(X3)
| ~ big_r(X0,X3)
| ~ big_r(sk9,X0)
| ~ big_p(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_47) ).
fof(f132,plain,
( ~ spl0_6
| spl0_7
| spl0_15
| spl0_9 ),
inference(avatar_split_clause,[],[f48,f87,f112,f79,f75]) ).
fof(f48,axiom,
! [X3,X0] :
( big_r(sk10,sk11)
| ~ big_r(X0,X3)
| big_r(sk7,sk8)
| ~ big_p(X3)
| ~ big_p(sk7)
| ~ big_r(sk9,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_48) ).
fof(f131,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f32,f119,f108]) ).
fof(f32,axiom,
! [X2,X3,X0] :
( big_p(sk1(X3))
| big_p(X3)
| ~ big_r(X2,X0)
| ~ big_p(X0)
| big_r(X2,sk6(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_32) ).
fof(f130,plain,
( spl0_2
| spl0_19 ),
inference(avatar_split_clause,[],[f5,f128,f60]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_r(X0,X3)
| big_r(sk6(X1),sk5(X1))
| ~ big_p(X3)
| big_p(sk1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_5) ).
fof(f126,plain,
( spl0_18
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f108,f124]) ).
fof(f13,axiom,
! [X2,X3,X0] :
( ~ big_r(X2,X0)
| big_p(X3)
| big_r(X3,sk2(X3))
| big_r(X2,sk6(X2))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_13) ).
fof(f122,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f60,f108]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X3)
| ~ big_r(X0,X3)
| big_p(sk1(X0))
| ~ big_r(X1,X2)
| big_r(X1,sk6(X1))
| ~ big_p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_6) ).
fof(f121,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f35,f119,f97]) ).
fof(f35,axiom,
! [X3,X0] :
( big_p(X3)
| big_p(X0)
| big_r(X0,sk4(X0))
| big_p(sk1(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_35) ).
fof(f117,plain,
( spl0_9
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f54,f115,f112,f87]) ).
fof(f54,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| big_r(sk10,sk11)
| ~ big_r(sk7,X0)
| ~ big_r(X0,X3)
| ~ big_r(sk9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_54) ).
fof(f110,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f3,f68,f108]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( big_r(sk2(X0),sk1(X0))
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(X1,sk6(X1))
| ~ big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_3) ).
fof(f106,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f104,f60]) ).
fof(f20,axiom,
! [X2,X3,X0] :
( big_r(sk4(X2),sk3(X2))
| ~ big_r(X0,X3)
| ~ big_p(X3)
| big_p(sk1(X0))
| big_p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_20) ).
fof(f102,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f100,f97]) ).
fof(f19,axiom,
! [X2,X3,X0] :
( big_r(X0,sk2(X0))
| ~ big_p(X3)
| ~ big_r(X0,X3)
| big_p(X2)
| big_r(X2,sk4(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_19) ).
fof(f95,plain,
( spl0_9
| ~ spl0_6
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f39,f83,f92,f75,f87]) ).
fof(f39,axiom,
( ~ big_p(sk9)
| big_p(sk8)
| ~ big_p(sk7)
| big_r(sk10,sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_39) ).
fof(f90,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f45,f87,f83,f79,f75]) ).
fof(f45,axiom,
( big_r(sk10,sk11)
| ~ big_p(sk9)
| big_r(sk7,sk8)
| ~ big_p(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_45) ).
fof(f73,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f71,f68]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( big_p(sk5(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_r(X1,X2)
| ~ big_p(X3)
| ~ big_r(X0,X3)
| ~ big_p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_7) ).
fof(f66,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f64,f57]) ).
fof(f29,axiom,
! [X3,X0] :
( big_r(sk2(X3),sk1(X3))
| big_p(X3)
| big_p(X0)
| big_p(sk3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_29) ).
fof(f62,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f60,f57]) ).
fof(f24,axiom,
! [X2,X3,X0] :
( ~ big_p(X3)
| big_p(sk1(X0))
| big_p(X2)
| ~ big_r(X0,X3)
| big_p(sk3(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN067-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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 : Tue Aug 30 21:19:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (2782)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (2783)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (2796)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50 % (2794)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (2772)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (2788)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (2772)Refutation not found, incomplete strategy% (2772)------------------------------
% 0.19/0.51 % (2772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2772)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (2772)Memory used [KB]: 5500
% 0.19/0.51 % (2772)Time elapsed: 0.104 s
% 0.19/0.51 % (2772)Instructions burned: 2 (million)
% 0.19/0.51 % (2772)------------------------------
% 0.19/0.51 % (2772)------------------------------
% 0.19/0.51 % (2784)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (2773)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (2775)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (2794)First to succeed.
% 0.19/0.52 % (2777)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)
% 0.19/0.52 % (2792)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (2794)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (2794)------------------------------
% 0.19/0.52 % (2794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2794)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (2794)Memory used [KB]: 5884
% 0.19/0.52 % (2794)Time elapsed: 0.116 s
% 0.19/0.52 % (2794)Instructions burned: 14 (million)
% 0.19/0.52 % (2794)------------------------------
% 0.19/0.52 % (2794)------------------------------
% 0.19/0.52 % (2770)Success in time 0.168 s
%------------------------------------------------------------------------------