TSTP Solution File: PUZ015-2.006 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% 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 : n028.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 18:11:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 155
% Syntax : Number of formulae : 252 ( 8 unt; 0 def)
% Number of atoms : 543 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 594 ( 303 ~; 232 |; 0 &)
% ( 59 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 120 ( 119 usr; 120 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f603,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f259,f287,f296,f301,f334,f343,f353,f354,f363,f364,f365,f374,f379,f384,f397,f402,f407,f426,f428,f429,f430,f431,f436,f443,f455,f456,f457,f458,f463,f465,f467,f471,f473,f474,f475,f481,f482,f484,f491,f492,f493,f496,f498,f500,f502,f503,f506,f515,f518,f519,f521,f523,f524,f525,f526,f527,f529,f531,f532,f534,f536,f537,f539,f540,f542,f543,f544,f545,f547,f549,f552,f553,f554,f556,f558,f560,f564,f565,f569,f570,f572,f573,f577,f582,f583,f584,f585,f586,f587,f588,f592,f594,f595,f596]) ).
fof(f596,plain,
( ~ spl0_53
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f129,f252,f433]) ).
fof(f433,plain,
( spl0_53
<=> vertical_3_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f252,plain,
( spl0_16
<=> horizontal_4_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f129,axiom,
( ~ horizontal_4_4
| ~ vertical_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_4) ).
fof(f595,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f104,f243,f235]) ).
fof(f235,plain,
( spl0_12
<=> horizontal_3_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f243,plain,
( spl0_14
<=> horizontal_3_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f104,axiom,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_5) ).
fof(f594,plain,
( ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f167,f345,f293]) ).
fof(f293,plain,
( spl0_25
<=> vertical_4_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f345,plain,
( spl0_36
<=> vertical_5_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f167,axiom,
( ~ vertical_5_5
| ~ vertical_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_5) ).
fof(f592,plain,
( ~ spl0_40
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f44,f386,f367]) ).
fof(f367,plain,
( spl0_40
<=> vertical_1_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f386,plain,
( spl0_44
<=> horizontal_1_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f44,axiom,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_1_3) ).
fof(f588,plain,
( ~ spl0_48
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f155,f275,f404]) ).
fof(f404,plain,
( spl0_48
<=> vertical_4_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f275,plain,
( spl0_21
<=> vertical_5_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f155,axiom,
( ~ vertical_5_3
| ~ vertical_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_3) ).
fof(f587,plain,
( ~ spl0_57
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f173,f230,f460]) ).
fof(f460,plain,
( spl0_57
<=> horizontal_6_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f230,plain,
( spl0_11
<=> horizontal_6_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f173,axiom,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_6_2) ).
fof(f586,plain,
( spl0_24
| spl0_5
| spl0_50 ),
inference(avatar_split_clause,[],[f33,f414,f203,f289]) ).
fof(f289,plain,
( spl0_24
<=> horizontal_5_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f203,plain,
( spl0_5
<=> vertical_4_6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f414,plain,
( spl0_50
<=> vertical_5_6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f33,axiom,
( vertical_5_6
| vertical_4_6
| horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_6) ).
fof(f585,plain,
( ~ spl0_27
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f68,f340,f304]) ).
fof(f304,plain,
( spl0_27
<=> horizontal_2_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f340,plain,
( spl0_35
<=> horizontal_2_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f68,axiom,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_2_4) ).
fof(f584,plain,
( ~ spl0_24
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f163,f345,f289]) ).
fof(f163,axiom,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_5) ).
fof(f583,plain,
( ~ spl0_51
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f95,f331,f419]) ).
fof(f419,plain,
( spl0_51
<=> vertical_3_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f331,plain,
( spl0_33
<=> vertical_2_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f95,axiom,
( ~ vertical_2_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_3) ).
fof(f582,plain,
( ~ spl0_59
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f60,f394,f510]) ).
fof(f510,plain,
( spl0_59
<=> horizontal_2_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f394,plain,
( spl0_46
<=> vertical_1_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f60,axiom,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_2) ).
fof(f577,plain,
( spl0_41
| spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f208,f212,f371]) ).
fof(f371,plain,
( spl0_41
<=> horizontal_1_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f212,plain,
( spl0_7
<=> vertical_1_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f208,plain,
( spl0_6
<=> horizontal_1_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f7,axiom,
( horizontal_1_4
| vertical_1_4
| horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_4) ).
fof(f573,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f80,f298,f376]) ).
fof(f376,plain,
( spl0_42
<=> vertical_1_6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f298,plain,
( spl0_26
<=> vertical_2_6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f80,axiom,
( ~ vertical_2_6
| ~ vertical_1_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_6) ).
fof(f572,plain,
( ~ spl0_27
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f69,f212,f304]) ).
fof(f69,axiom,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_4) ).
fof(f570,plain,
~ spl0_19,
inference(avatar_split_clause,[],[f2,f265]) ).
fof(f265,plain,
( spl0_19
<=> vertical_1_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f2,axiom,
~ vertical_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered2_1_1) ).
fof(f569,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f4,f414]) ).
fof(f4,axiom,
~ vertical_5_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered4_6_6) ).
fof(f565,plain,
( ~ spl0_51
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f94,f327,f419]) ).
fof(f327,plain,
( spl0_32
<=> horizontal_3_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f94,axiom,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_3) ).
fof(f564,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f139,f203,f195]) ).
fof(f195,plain,
( spl0_3
<=> horizontal_4_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f139,axiom,
( ~ vertical_4_6
| ~ horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_6) ).
fof(f560,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f140,f203,f199]) ).
fof(f199,plain,
( spl0_4
<=> vertical_3_6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f140,axiom,
( ~ vertical_4_6
| ~ vertical_3_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_6) ).
fof(f558,plain,
( ~ spl0_18
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f84,f318,f261]) ).
fof(f261,plain,
( spl0_18
<=> vertical_2_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f318,plain,
( spl0_30
<=> vertical_3_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f84,axiom,
( ~ vertical_3_1
| ~ vertical_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_1) ).
fof(f556,plain,
( ~ spl0_28
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f79,f298,f308]) ).
fof(f308,plain,
( spl0_28
<=> horizontal_2_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f79,axiom,
( ~ vertical_2_6
| ~ horizontal_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_6) ).
fof(f554,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f103,f235,f239]) ).
fof(f239,plain,
( spl0_13
<=> vertical_3_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f103,axiom,
( ~ horizontal_3_5
| ~ vertical_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_5) ).
fof(f553,plain,
( ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f57,f438,f394]) ).
fof(f438,plain,
( spl0_54
<=> horizontal_2_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f57,axiom,
( ~ horizontal_2_2
| ~ vertical_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_2) ).
fof(f552,plain,
( ~ spl0_20
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f131,f433,f270]) ).
fof(f270,plain,
( spl0_20
<=> vertical_4_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f131,axiom,
( ~ vertical_3_4
| ~ vertical_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_4) ).
fof(f549,plain,
( ~ spl0_18
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f83,f217,f261]) ).
fof(f217,plain,
( spl0_8
<=> horizontal_3_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f83,axiom,
( ~ horizontal_3_1
| ~ vertical_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_1) ).
fof(f547,plain,
( ~ spl0_54
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f56,f510,f438]) ).
fof(f56,axiom,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_2_2) ).
fof(f545,plain,
( ~ spl0_1
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f152,f452,f186]) ).
fof(f186,plain,
( spl0_1
<=> horizontal_5_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f452,plain,
( spl0_56
<=> horizontal_5_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f152,axiom,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_5_3) ).
fof(f544,plain,
( ~ spl0_39
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f49,f208,f360]) ).
fof(f360,plain,
( spl0_39
<=> horizontal_1_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f49,axiom,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_5) ).
fof(f543,plain,
( ~ spl0_37
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f114,f318,f350]) ).
fof(f350,plain,
( spl0_37
<=> vertical_4_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f114,axiom,
( ~ vertical_3_1
| ~ vertical_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_1) ).
fof(f542,plain,
( ~ spl0_7
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f72,f340,f212]) ).
fof(f72,axiom,
( ~ horizontal_2_3
| ~ vertical_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_4) ).
fof(f540,plain,
( spl0_18
| spl0_19
| spl0_59 ),
inference(avatar_split_clause,[],[f10,f510,f265,f261]) ).
fof(f10,axiom,
( horizontal_2_1
| vertical_1_1
| vertical_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_1) ).
fof(f539,plain,
( ~ spl0_17
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f122,f423,f256]) ).
fof(f256,plain,
( spl0_17
<=> horizontal_4_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f423,plain,
( spl0_52
<=> horizontal_4_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f122,axiom,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_3) ).
fof(f537,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f180,f446,f284]) ).
fof(f284,plain,
( spl0_23
<=> vertical_5_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f446,plain,
( spl0_55
<=> horizontal_6_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f180,axiom,
( ~ horizontal_6_4
| ~ vertical_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_6_4) ).
fof(f536,plain,
( spl0_55
| spl0_36 ),
inference(avatar_split_clause,[],[f535,f345,f446]) ).
fof(f535,plain,
( vertical_5_5
| horizontal_6_4 ),
inference(subsumption_resolution,[],[f38,f3]) ).
fof(f3,axiom,
~ horizontal_6_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered3_6_6) ).
fof(f38,axiom,
( vertical_5_5
| horizontal_6_5
| horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_5) ).
fof(f534,plain,
( ~ spl0_2
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f166,f345,f190]) ).
fof(f190,plain,
( spl0_2
<=> horizontal_5_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f166,axiom,
( ~ vertical_5_5
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_5_5) ).
fof(f532,plain,
( spl0_38
| spl0_27
| spl0_15
| spl0_28 ),
inference(avatar_split_clause,[],[f14,f308,f247,f304,f356]) ).
fof(f356,plain,
( spl0_38
<=> vertical_1_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f247,plain,
( spl0_15
<=> vertical_2_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f14,axiom,
( horizontal_2_5
| vertical_2_5
| horizontal_2_4
| vertical_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_5) ).
fof(f531,plain,
( ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f105,f247,f235]) ).
fof(f105,axiom,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_5) ).
fof(f529,plain,
( ~ spl0_24
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f164,f190,f289]) ).
fof(f164,axiom,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_5_5) ).
fof(f527,plain,
( spl0_20
| spl0_2
| spl0_23
| spl0_1 ),
inference(avatar_split_clause,[],[f31,f186,f284,f190,f270]) ).
fof(f31,axiom,
( horizontal_5_3
| vertical_5_4
| horizontal_5_4
| vertical_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_4) ).
fof(f526,plain,
( ~ spl0_59
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f58,f478,f510]) ).
fof(f478,plain,
( spl0_58
<=> vertical_2_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f58,axiom,
( ~ vertical_2_2
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_2) ).
fof(f525,plain,
( ~ spl0_48
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f156,f452,f404]) ).
fof(f156,axiom,
( ~ horizontal_5_2
| ~ vertical_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_5_3) ).
fof(f524,plain,
( ~ spl0_43
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f91,f419,f381]) ).
fof(f381,plain,
( spl0_43
<=> horizontal_3_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f91,axiom,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_3) ).
fof(f523,plain,
( ~ spl0_38
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f50,f208,f356]) ).
fof(f50,axiom,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_1_5) ).
fof(f521,plain,
( spl0_33
| spl0_35
| spl0_54
| spl0_40 ),
inference(avatar_split_clause,[],[f12,f367,f438,f340,f331]) ).
fof(f12,axiom,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_3) ).
fof(f519,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f141,f195,f199]) ).
fof(f141,axiom,
( ~ horizontal_4_5
| ~ vertical_3_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_6) ).
fof(f518,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f108,f243,f247]) ).
fof(f108,axiom,
( ~ horizontal_3_4
| ~ vertical_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_5) ).
fof(f515,plain,
( spl0_11
| spl0_49 ),
inference(avatar_split_clause,[],[f34,f409,f230]) ).
fof(f409,plain,
( spl0_49
<=> vertical_5_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f34,axiom,
( vertical_5_1
| horizontal_6_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_1) ).
fof(f506,plain,
~ spl0_45,
inference(avatar_split_clause,[],[f1,f390]) ).
fof(f390,plain,
( spl0_45
<=> horizontal_1_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1,axiom,
~ horizontal_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered1_1_1) ).
fof(f503,plain,
( ~ spl0_8
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f82,f318,f217]) ).
fof(f82,axiom,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_1) ).
fof(f502,plain,
( ~ spl0_41
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f43,f386,f371]) ).
fof(f43,axiom,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_3) ).
fof(f500,plain,
( ~ spl0_21
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f151,f186,f275]) ).
fof(f151,axiom,
( ~ horizontal_5_3
| ~ vertical_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_3) ).
fof(f498,plain,
( ~ spl0_17
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f132,f433,f256]) ).
fof(f132,axiom,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_4) ).
fof(f496,plain,
( ~ spl0_31
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f116,f423,f322]) ).
fof(f322,plain,
( spl0_31
<=> horizontal_4_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f116,axiom,
( ~ horizontal_4_2
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_2) ).
fof(f493,plain,
( spl0_9
| spl0_32
| spl0_58
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f217,f478,f327,f221]) ).
fof(f221,plain,
( spl0_9
<=> vertical_3_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f17,axiom,
( horizontal_3_1
| vertical_2_2
| horizontal_3_2
| vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_2) ).
fof(f492,plain,
( ~ spl0_58
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f55,f438,f478]) ).
fof(f55,axiom,
( ~ horizontal_2_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_2) ).
fof(f491,plain,
( ~ spl0_29
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f142,f409,f313]) ).
fof(f313,plain,
( spl0_29
<=> horizontal_5_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f142,axiom,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_1) ).
fof(f484,plain,
( ~ spl0_47
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f118,f322,f399]) ).
fof(f399,plain,
( spl0_47
<=> vertical_4_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f118,axiom,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_2) ).
fof(f482,plain,
( ~ spl0_56
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f154,f275,f452]) ).
fof(f154,axiom,
( ~ vertical_5_3
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_5_3) ).
fof(f481,plain,
( ~ spl0_58
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f59,f394,f478]) ).
fof(f59,axiom,
( ~ vertical_1_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_2) ).
fof(f475,plain,
( spl0_57
| spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f36,f279,f275,f460]) ).
fof(f279,plain,
( spl0_22
<=> horizontal_6_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f36,axiom,
( horizontal_6_3
| vertical_5_3
| horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_3) ).
fof(f474,plain,
( ~ spl0_33
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f93,f381,f331]) ).
fof(f93,axiom,
( ~ horizontal_3_3
| ~ vertical_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_3) ).
fof(f473,plain,
( ~ spl0_16
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f138,f239,f252]) ).
fof(f138,axiom,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_5) ).
fof(f471,plain,
( spl0_39
| spl0_42 ),
inference(avatar_split_clause,[],[f9,f376,f360]) ).
fof(f9,axiom,
( vertical_1_6
| horizontal_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_6) ).
fof(f467,plain,
( ~ spl0_55
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f179,f279,f446]) ).
fof(f179,axiom,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_6_4) ).
fof(f465,plain,
( ~ spl0_15
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f107,f239,f247]) ).
fof(f107,axiom,
( ~ vertical_3_5
| ~ vertical_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_5) ).
fof(f463,plain,
( ~ spl0_57
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f174,f226,f460]) ).
fof(f226,plain,
( spl0_10
<=> vertical_5_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f174,axiom,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_6_2) ).
fof(f458,plain,
( ~ spl0_37
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f144,f409,f350]) ).
fof(f144,axiom,
( ~ vertical_5_1
| ~ vertical_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_1) ).
fof(f457,plain,
( ~ spl0_27
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f67,f336,f304]) ).
fof(f336,plain,
( spl0_34
<=> vertical_2_4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f67,axiom,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_4) ).
fof(f456,plain,
( ~ spl0_14
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f106,f239,f243]) ).
fof(f106,axiom,
( ~ vertical_3_5
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_5) ).
fof(f455,plain,
( spl0_10
| spl0_29
| spl0_47
| spl0_56 ),
inference(avatar_split_clause,[],[f29,f452,f399,f313,f226]) ).
fof(f29,axiom,
( horizontal_5_2
| vertical_4_2
| horizontal_5_1
| vertical_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_2) ).
fof(f443,plain,
( ~ spl0_47
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f115,f423,f399]) ).
fof(f115,axiom,
( ~ horizontal_4_2
| ~ vertical_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_4_2) ).
fof(f436,plain,
( spl0_14
| spl0_43
| spl0_53
| spl0_34 ),
inference(avatar_split_clause,[],[f19,f336,f433,f381,f243]) ).
fof(f19,axiom,
( vertical_2_4
| vertical_3_4
| horizontal_3_3
| horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_4) ).
fof(f431,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f130,f270,f256]) ).
fof(f130,axiom,
( ~ vertical_4_4
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_4) ).
fof(f430,plain,
( ~ spl0_9
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f120,f322,f221]) ).
fof(f120,axiom,
( ~ horizontal_4_1
| ~ vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_2) ).
fof(f429,plain,
( spl0_16
| spl0_13
| spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f26,f293,f195,f239,f252]) ).
fof(f26,axiom,
( vertical_4_5
| horizontal_4_5
| vertical_3_5
| horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_5) ).
fof(f428,plain,
( ~ spl0_9
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f117,f423,f221]) ).
fof(f117,axiom,
( ~ horizontal_4_2
| ~ vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_2) ).
fof(f426,plain,
( spl0_48
| spl0_17
| spl0_51
| spl0_52 ),
inference(avatar_split_clause,[],[f24,f423,f419,f256,f404]) ).
fof(f24,axiom,
( horizontal_4_2
| vertical_3_3
| horizontal_4_3
| vertical_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_3) ).
fof(f407,plain,
( ~ spl0_48
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f153,f186,f404]) ).
fof(f153,axiom,
( ~ horizontal_5_3
| ~ vertical_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_3) ).
fof(f402,plain,
( ~ spl0_47
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f119,f221,f399]) ).
fof(f119,axiom,
( ~ vertical_3_2
| ~ vertical_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_2) ).
fof(f397,plain,
( spl0_44
| spl0_45
| spl0_46 ),
inference(avatar_split_clause,[],[f5,f394,f390,f386]) ).
fof(f5,axiom,
( vertical_1_2
| horizontal_1_1
| horizontal_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_2) ).
fof(f384,plain,
( ~ spl0_32
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f92,f381,f327]) ).
fof(f92,axiom,
( ~ horizontal_3_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_3) ).
fof(f379,plain,
( ~ spl0_42
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f81,f308,f376]) ).
fof(f81,axiom,
( ~ horizontal_2_5
| ~ vertical_1_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_6) ).
fof(f374,plain,
( ~ spl0_40
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f42,f371,f367]) ).
fof(f42,axiom,
( ~ horizontal_1_3
| ~ vertical_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_1_3) ).
fof(f365,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f127,f252,f270]) ).
fof(f127,axiom,
( ~ horizontal_4_4
| ~ vertical_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_4_4) ).
fof(f364,plain,
( spl0_37
| spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f22,f322,f318,f350]) ).
fof(f22,axiom,
( horizontal_4_1
| vertical_3_1
| vertical_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_1) ).
fof(f363,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f48,f360,f356]) ).
fof(f48,axiom,
( ~ horizontal_1_5
| ~ vertical_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_1_5) ).
fof(f354,plain,
( ~ spl0_25
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f168,f190,f293]) ).
fof(f168,axiom,
( ~ horizontal_5_4
| ~ vertical_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_5_5) ).
fof(f353,plain,
( ~ spl0_37
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f143,f313,f350]) ).
fof(f143,axiom,
( ~ horizontal_5_1
| ~ vertical_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_1) ).
fof(f343,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f70,f340,f336]) ).
fof(f70,axiom,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_4) ).
fof(f334,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f96,f331,f327]) ).
fof(f96,axiom,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_3) ).
fof(f301,plain,
( spl0_26
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f235,f199,f298]) ).
fof(f21,axiom,
( horizontal_3_5
| vertical_3_6
| vertical_2_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_6) ).
fof(f296,plain,
( ~ spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f165,f293,f289]) ).
fof(f165,axiom,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_5) ).
fof(f287,plain,
( ~ spl0_23
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f181,f279,f284]) ).
fof(f181,axiom,
( ~ horizontal_6_3
| ~ vertical_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_4) ).
fof(f259,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f128,f256,f252]) ).
fof(f128,axiom,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_4) ).
fof(f233,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f175,f230,f226]) ).
fof(f175,axiom,
( ~ horizontal_6_1
| ~ vertical_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 10:45:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (26868)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49 % (26868)First to succeed.
% 0.20/0.49 % (26876)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.49 % (26868)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (26868)------------------------------
% 0.20/0.50 % (26868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (26868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (26868)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (26868)Memory used [KB]: 5884
% 0.20/0.50 % (26868)Time elapsed: 0.008 s
% 0.20/0.50 % (26868)Instructions burned: 4 (million)
% 0.20/0.50 % (26868)------------------------------
% 0.20/0.50 % (26868)------------------------------
% 0.20/0.50 % (26855)Success in time 0.148 s
%------------------------------------------------------------------------------