TSTP Solution File: ALG063+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG063+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 : Sun May 5 04:10:52 EDT 2024
% Result : Theorem 0.67s 0.80s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 73
% Syntax : Number of formulae : 242 ( 23 unt; 0 def)
% Number of atoms : 1137 ( 694 equ)
% Maximal formula atoms : 100 ( 4 avg)
% Number of connectives : 1349 ( 454 ~; 471 |; 379 &)
% ( 45 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 71 ( 69 usr; 70 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1935,plain,
$false,
inference(avatar_sat_refutation,[],[f357,f371,f395,f414,f424,f434,f436,f455,f469,f488,f504,f514,f524,f526,f545,f564,f574,f586,f596,f608,f627,f637,f649,f659,f670,f680,f682,f687,f689,f693,f694,f695,f697,f702,f707,f1215,f1236,f1302,f1313,f1325,f1328,f1357,f1371,f1374,f1379,f1391,f1602,f1606,f1924]) ).
fof(f1924,plain,
( ~ spl24_31
| ~ spl24_57 ),
inference(avatar_contradiction_clause,[],[f1923]) ).
fof(f1923,plain,
( $false
| ~ spl24_31
| ~ spl24_57 ),
inference(subsumption_resolution,[],[f1922,f148]) ).
fof(f148,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/tmp/tmp.718GcdXUAa/Vampire---4.8_31428',ax5) ).
fof(f1922,plain,
( e1 = e3
| ~ spl24_31
| ~ spl24_57 ),
inference(forward_demodulation,[],[f487,f621]) ).
fof(f621,plain,
( op(e0,e0) = e1
| ~ spl24_57 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f619,plain,
( spl24_57
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_57])]) ).
fof(f487,plain,
( op(e0,e0) = e3
| ~ spl24_31 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl24_31
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_31])]) ).
fof(f1606,plain,
( spl24_8
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f1532,f387,f373]) ).
fof(f373,plain,
( spl24_8
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f387,plain,
( spl24_11
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f1532,plain,
( e2 = op(e4,e4)
| ~ spl24_11 ),
inference(forward_demodulation,[],[f140,f389]) ).
fof(f389,plain,
( e4 = op(e1,e1)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f140,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox2/tmp/tmp.718GcdXUAa/Vampire---4.8_31428',ax6) ).
fof(f1602,plain,
( ~ spl24_24
| ~ spl24_28 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1601,plain,
( $false
| ~ spl24_24
| ~ spl24_28 ),
inference(subsumption_resolution,[],[f1600,f147]) ).
fof(f147,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1600,plain,
( e1 = e2
| ~ spl24_24
| ~ spl24_28 ),
inference(forward_demodulation,[],[f454,f473]) ).
fof(f473,plain,
( e1 = op(e3,e3)
| ~ spl24_28 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl24_28
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).
fof(f454,plain,
( e2 = op(e3,e3)
| ~ spl24_24 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl24_24
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_24])]) ).
fof(f1391,plain,
( ~ spl24_11
| ~ spl24_27 ),
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1390,plain,
( $false
| ~ spl24_11
| ~ spl24_27 ),
inference(subsumption_resolution,[],[f1389,f152]) ).
fof(f152,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1389,plain,
( e3 = e4
| ~ spl24_11
| ~ spl24_27 ),
inference(backward_demodulation,[],[f389,f468]) ).
fof(f468,plain,
( e3 = op(e1,e1)
| ~ spl24_27 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl24_27
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_27])]) ).
fof(f1379,plain,
( ~ spl24_7
| ~ spl24_23 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1378,plain,
( $false
| ~ spl24_7
| ~ spl24_23 ),
inference(subsumption_resolution,[],[f1377,f152]) ).
fof(f1377,plain,
( e3 = e4
| ~ spl24_7
| ~ spl24_23 ),
inference(backward_demodulation,[],[f370,f449]) ).
fof(f449,plain,
( e3 = op(e2,e2)
| ~ spl24_23 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl24_23
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_23])]) ).
fof(f370,plain,
( e4 = op(e2,e2)
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl24_7
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f1374,plain,
( ~ spl24_8
| ~ spl24_12 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1373,plain,
( $false
| ~ spl24_8
| ~ spl24_12 ),
inference(subsumption_resolution,[],[f1372,f147]) ).
fof(f1372,plain,
( e1 = e2
| ~ spl24_8
| ~ spl24_12 ),
inference(backward_demodulation,[],[f375,f394]) ).
fof(f394,plain,
( e1 = op(e4,e4)
| ~ spl24_12 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f392,plain,
( spl24_12
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).
fof(f375,plain,
( e2 = op(e4,e4)
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f1371,plain,
( ~ spl24_4
| ~ spl24_8 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1370,plain,
( $false
| ~ spl24_4
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f1369,f150]) ).
fof(f150,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1369,plain,
( e2 = e3
| ~ spl24_4
| ~ spl24_8 ),
inference(backward_demodulation,[],[f356,f375]) ).
fof(f356,plain,
( e3 = op(e4,e4)
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl24_4
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).
fof(f1357,plain,
( ~ spl24_8
| ~ spl24_16 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
fof(f1356,plain,
( $false
| ~ spl24_8
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f1355,f144]) ).
fof(f144,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1355,plain,
( e0 = e2
| ~ spl24_8
| ~ spl24_16 ),
inference(forward_demodulation,[],[f375,f413]) ).
fof(f413,plain,
( e0 = op(e4,e4)
| ~ spl24_16 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl24_16
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f1328,plain,
( ~ spl24_23
| ~ spl24_42 ),
inference(avatar_contradiction_clause,[],[f1327]) ).
fof(f1327,plain,
( $false
| ~ spl24_23
| ~ spl24_42 ),
inference(subsumption_resolution,[],[f1326,f148]) ).
fof(f1326,plain,
( e1 = e3
| ~ spl24_23
| ~ spl24_42 ),
inference(forward_demodulation,[],[f449,f544]) ).
fof(f544,plain,
( e1 = op(e2,e2)
| ~ spl24_42 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl24_42
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_42])]) ).
fof(f1325,plain,
( ~ spl24_24
| ~ spl24_32 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1324,plain,
( $false
| ~ spl24_24
| ~ spl24_32 ),
inference(subsumption_resolution,[],[f1323,f144]) ).
fof(f1323,plain,
( e0 = e2
| ~ spl24_24
| ~ spl24_32 ),
inference(forward_demodulation,[],[f454,f492]) ).
fof(f492,plain,
( e0 = op(e3,e3)
| ~ spl24_32 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl24_32
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_32])]) ).
fof(f1313,plain,
( ~ spl24_28
| ~ spl24_32 ),
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1312,plain,
( $false
| ~ spl24_28
| ~ spl24_32 ),
inference(subsumption_resolution,[],[f1311,f143]) ).
fof(f143,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1311,plain,
( e0 = e1
| ~ spl24_28
| ~ spl24_32 ),
inference(forward_demodulation,[],[f473,f492]) ).
fof(f1302,plain,
( ~ spl24_31
| ~ spl24_68 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1301,plain,
( $false
| ~ spl24_31
| ~ spl24_68 ),
inference(subsumption_resolution,[],[f1300,f145]) ).
fof(f145,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1300,plain,
( e0 = e3
| ~ spl24_31
| ~ spl24_68 ),
inference(forward_demodulation,[],[f487,f678]) ).
fof(f678,plain,
( e0 = op(e0,e0)
| ~ spl24_68 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f677,plain,
( spl24_68
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_68])]) ).
fof(f1236,plain,
~ spl24_54,
inference(avatar_contradiction_clause,[],[f1235]) ).
fof(f1235,plain,
( $false
| ~ spl24_54 ),
inference(subsumption_resolution,[],[f1234,f147]) ).
fof(f1234,plain,
( e1 = e2
| ~ spl24_54 ),
inference(forward_demodulation,[],[f1228,f604]) ).
fof(f604,plain,
( e1 = op(e1,e1)
| ~ spl24_54 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f603,plain,
( spl24_54
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_54])]) ).
fof(f1228,plain,
( e2 = op(e1,e1)
| ~ spl24_54 ),
inference(backward_demodulation,[],[f140,f604]) ).
fof(f1215,plain,
( ~ spl24_57
| ~ spl24_68 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl24_57
| ~ spl24_68 ),
inference(subsumption_resolution,[],[f1213,f143]) ).
fof(f1213,plain,
( e0 = e1
| ~ spl24_57
| ~ spl24_68 ),
inference(forward_demodulation,[],[f621,f678]) ).
fof(f707,plain,
~ spl24_46,
inference(avatar_split_clause,[],[f706,f561]) ).
fof(f561,plain,
( spl24_46
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_46])]) ).
fof(f706,plain,
e0 != op(e2,e2),
inference(forward_demodulation,[],[f177,f698]) ).
fof(f698,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f139,f140]) ).
fof(f139,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f177,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/tmp/tmp.718GcdXUAa/Vampire---4.8_31428',ax4) ).
fof(f702,plain,
~ spl24_58,
inference(avatar_split_clause,[],[f701,f624]) ).
fof(f624,plain,
( spl24_58
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_58])]) ).
fof(f701,plain,
e0 != op(e1,e1),
inference(forward_demodulation,[],[f217,f698]) ).
fof(f217,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f697,plain,
spl24_23,
inference(avatar_split_clause,[],[f696,f447]) ).
fof(f696,plain,
e3 = op(e2,e2),
inference(backward_demodulation,[],[f141,f140]) ).
fof(f141,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f695,plain,
spl24_11,
inference(avatar_split_clause,[],[f142,f387]) ).
fof(f142,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f694,plain,
( spl24_68
| spl24_58
| spl24_46
| spl24_32
| spl24_16 ),
inference(avatar_split_clause,[],[f131,f411,f490,f561,f624,f677]) ).
fof(f131,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f9,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.718GcdXUAa/Vampire---4.8_31428',co1) ).
fof(f693,plain,
( spl24_57
| spl24_54
| spl24_42
| spl24_28
| spl24_12 ),
inference(avatar_split_clause,[],[f132,f392,f471,f542,f603,f619]) ).
fof(f132,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f689,plain,
( spl24_67
| spl24_65
| spl24_63
| spl24_61
| spl24_59
| spl24_55
| spl24_53
| spl24_51
| spl24_49
| spl24_47
| spl24_43
| spl24_39
| spl24_37
| spl24_35
| spl24_33
| spl24_29
| spl24_25
| spl24_21
| spl24_19
| spl24_17
| spl24_13
| spl24_9
| spl24_5
| spl24_1
| spl24_69 ),
inference(avatar_split_clause,[],[f136,f684,f340,f359,f378,f397,f416,f427,f438,f457,f476,f495,f506,f517,f528,f547,f566,f577,f588,f599,f610,f629,f640,f651,f662,f673]) ).
fof(f673,plain,
( spl24_67
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_67])]) ).
fof(f662,plain,
( spl24_65
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).
fof(f651,plain,
( spl24_63
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_63])]) ).
fof(f640,plain,
( spl24_61
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_61])]) ).
fof(f629,plain,
( spl24_59
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_59])]) ).
fof(f610,plain,
( spl24_55
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_55])]) ).
fof(f599,plain,
( spl24_53
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_53])]) ).
fof(f588,plain,
( spl24_51
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_51])]) ).
fof(f577,plain,
( spl24_49
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_49])]) ).
fof(f566,plain,
( spl24_47
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_47])]) ).
fof(f547,plain,
( spl24_43
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_43])]) ).
fof(f528,plain,
( spl24_39
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_39])]) ).
fof(f517,plain,
( spl24_37
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_37])]) ).
fof(f506,plain,
( spl24_35
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).
fof(f495,plain,
( spl24_33
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).
fof(f476,plain,
( spl24_29
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).
fof(f457,plain,
( spl24_25
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_25])]) ).
fof(f438,plain,
( spl24_21
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_21])]) ).
fof(f427,plain,
( spl24_19
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f416,plain,
( spl24_17
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f397,plain,
( spl24_13
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f378,plain,
( spl24_9
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).
fof(f359,plain,
( spl24_5
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f340,plain,
( spl24_1
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f684,plain,
( spl24_69
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_69])]) ).
fof(f136,plain,
( e4 = op(e4,e4)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f687,plain,
( spl24_67
| spl24_65
| spl24_63
| spl24_61
| spl24_59
| spl24_55
| spl24_53
| spl24_51
| spl24_49
| spl24_47
| spl24_43
| spl24_39
| spl24_37
| spl24_35
| spl24_33
| spl24_29
| spl24_25
| spl24_21
| spl24_19
| spl24_17
| spl24_13
| spl24_9
| spl24_5
| spl24_1
| ~ spl24_69 ),
inference(avatar_split_clause,[],[f138,f684,f340,f359,f378,f397,f416,f427,f438,f457,f476,f495,f506,f517,f528,f547,f566,f577,f588,f599,f610,f629,f640,f651,f662,f673]) ).
fof(f138,plain,
( e4 != op(e4,e4)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f682,plain,
( ~ spl24_67
| spl24_68 ),
inference(avatar_split_clause,[],[f128,f677,f673]) ).
fof(f128,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f680,plain,
( ~ spl24_67
| ~ spl24_68 ),
inference(avatar_split_clause,[],[f130,f677,f673]) ).
fof(f130,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f670,plain,
( ~ spl24_65
| spl24_58 ),
inference(avatar_split_clause,[],[f126,f624,f662]) ).
fof(f126,plain,
( e0 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f659,plain,
( ~ spl24_63
| spl24_46 ),
inference(avatar_split_clause,[],[f123,f561,f651]) ).
fof(f123,plain,
( e0 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f649,plain,
( ~ spl24_61
| spl24_31 ),
inference(avatar_split_clause,[],[f119,f485,f640]) ).
fof(f119,plain,
( op(e0,e0) = e3
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f637,plain,
( ~ spl24_59
| spl24_16 ),
inference(avatar_split_clause,[],[f117,f411,f629]) ).
fof(f117,plain,
( e0 = op(e4,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f627,plain,
( ~ spl24_55
| spl24_58 ),
inference(avatar_split_clause,[],[f113,f624,f610]) ).
fof(f113,plain,
( e0 = op(e1,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f608,plain,
( ~ spl24_53
| spl24_54 ),
inference(avatar_split_clause,[],[f110,f603,f599]) ).
fof(f110,plain,
( e1 = op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f596,plain,
( ~ spl24_51
| spl24_42 ),
inference(avatar_split_clause,[],[f108,f542,f588]) ).
fof(f108,plain,
( e1 = op(e2,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f586,plain,
( ~ spl24_49
| spl24_27 ),
inference(avatar_split_clause,[],[f104,f466,f577]) ).
fof(f104,plain,
( e3 = op(e1,e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f574,plain,
( ~ spl24_47
| spl24_12 ),
inference(avatar_split_clause,[],[f102,f392,f566]) ).
fof(f102,plain,
( e1 = op(e4,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f564,plain,
( ~ spl24_43
| spl24_46 ),
inference(avatar_split_clause,[],[f98,f561,f547]) ).
fof(f98,plain,
( e0 = op(e2,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f545,plain,
( ~ spl24_39
| spl24_42 ),
inference(avatar_split_clause,[],[f95,f542,f528]) ).
fof(f95,plain,
( e1 = op(e2,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f526,plain,
( ~ spl24_37
| spl24_38 ),
inference(avatar_split_clause,[],[f92,f521,f517]) ).
fof(f521,plain,
( spl24_38
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_38])]) ).
fof(f92,plain,
( e2 = op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f524,plain,
( ~ spl24_37
| ~ spl24_38 ),
inference(avatar_split_clause,[],[f94,f521,f517]) ).
fof(f94,plain,
( e2 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f514,plain,
( ~ spl24_35
| spl24_24 ),
inference(avatar_split_clause,[],[f90,f452,f506]) ).
fof(f90,plain,
( e2 = op(e3,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f504,plain,
( ~ spl24_33
| spl24_7 ),
inference(avatar_split_clause,[],[f86,f368,f495]) ).
fof(f86,plain,
( e4 = op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f488,plain,
( ~ spl24_29
| spl24_31 ),
inference(avatar_split_clause,[],[f84,f485,f476]) ).
fof(f84,plain,
( op(e0,e0) = e3
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f469,plain,
( ~ spl24_25
| spl24_27 ),
inference(avatar_split_clause,[],[f81,f466,f457]) ).
fof(f81,plain,
( e3 = op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f455,plain,
( ~ spl24_21
| spl24_24 ),
inference(avatar_split_clause,[],[f77,f452,f438]) ).
fof(f77,plain,
( e2 = op(e3,e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f436,plain,
( ~ spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f74,f431,f427]) ).
fof(f431,plain,
( spl24_20
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f74,plain,
( e3 = op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f434,plain,
( ~ spl24_19
| ~ spl24_20 ),
inference(avatar_split_clause,[],[f76,f431,f427]) ).
fof(f76,plain,
( e3 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f424,plain,
( ~ spl24_17
| spl24_4 ),
inference(avatar_split_clause,[],[f72,f354,f416]) ).
fof(f72,plain,
( e3 = op(e4,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f414,plain,
( ~ spl24_13
| spl24_16 ),
inference(avatar_split_clause,[],[f68,f411,f397]) ).
fof(f68,plain,
( e0 = op(e4,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f395,plain,
( ~ spl24_9
| spl24_12 ),
inference(avatar_split_clause,[],[f65,f392,f378]) ).
fof(f65,plain,
( e1 = op(e4,e4)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f371,plain,
( ~ spl24_5
| spl24_7 ),
inference(avatar_split_clause,[],[f63,f368,f359]) ).
fof(f63,plain,
( e4 = op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f357,plain,
( ~ spl24_1
| spl24_4 ),
inference(avatar_split_clause,[],[f59,f354,f340]) ).
fof(f59,plain,
( e3 = op(e4,e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG063+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:54:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.718GcdXUAa/Vampire---4.8_31428
% 0.58/0.77 % (31597)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.77 % (31601)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.77 % (31599)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.77 % (31600)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.58/0.77 % (31598)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.58/0.77 % (31602)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.58/0.77 % (31603)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.58/0.77 % (31604)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.58/0.78 % (31597)Refutation not found, incomplete strategy% (31597)------------------------------
% 0.58/0.78 % (31597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (31597)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (31597)Memory used [KB]: 1363
% 0.58/0.78 % (31597)Time elapsed: 0.008 s
% 0.58/0.78 % (31597)Instructions burned: 26 (million)
% 0.58/0.78 % (31597)------------------------------
% 0.58/0.78 % (31597)------------------------------
% 0.58/0.78 % (31601)Refutation not found, incomplete strategy% (31601)------------------------------
% 0.58/0.78 % (31601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (31601)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (31601)Memory used [KB]: 1287
% 0.58/0.78 % (31601)Time elapsed: 0.009 s
% 0.58/0.78 % (31601)Instructions burned: 17 (million)
% 0.58/0.78 % (31601)------------------------------
% 0.58/0.78 % (31601)------------------------------
% 0.58/0.78 % (31604)Refutation not found, incomplete strategy% (31604)------------------------------
% 0.58/0.78 % (31604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (31602)Refutation not found, incomplete strategy% (31602)------------------------------
% 0.58/0.78 % (31602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (31602)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (31602)Memory used [KB]: 1161
% 0.58/0.78 % (31602)Time elapsed: 0.009 s
% 0.58/0.78 % (31602)Instructions burned: 16 (million)
% 0.58/0.78 % (31604)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (31604)Memory used [KB]: 1223
% 0.58/0.78 % (31604)Time elapsed: 0.009 s
% 0.58/0.78 % (31604)Instructions burned: 16 (million)
% 0.58/0.78 % (31602)------------------------------
% 0.58/0.78 % (31602)------------------------------
% 0.58/0.78 % (31604)------------------------------
% 0.58/0.78 % (31604)------------------------------
% 0.58/0.78 % (31605)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.78 % (31607)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.78 % (31606)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.78 % (31608)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.79 % (31600)Instruction limit reached!
% 0.58/0.79 % (31600)------------------------------
% 0.58/0.79 % (31600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (31600)Termination reason: Unknown
% 0.58/0.79 % (31600)Termination phase: Saturation
% 0.58/0.79
% 0.58/0.79 % (31600)Memory used [KB]: 1574
% 0.58/0.79 % (31600)Time elapsed: 0.019 s
% 0.58/0.79 % (31600)Instructions burned: 34 (million)
% 0.58/0.79 % (31600)------------------------------
% 0.58/0.79 % (31600)------------------------------
% 0.67/0.80 % (31599)First to succeed.
% 0.67/0.80 % (31598)Instruction limit reached!
% 0.67/0.80 % (31598)------------------------------
% 0.67/0.80 % (31598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.80 % (31598)Termination reason: Unknown
% 0.67/0.80 % (31598)Termination phase: Saturation
% 0.67/0.80
% 0.67/0.80 % (31598)Memory used [KB]: 2025
% 0.67/0.80 % (31598)Time elapsed: 0.029 s
% 0.67/0.80 % (31598)Instructions burned: 52 (million)
% 0.67/0.80 % (31598)------------------------------
% 0.67/0.80 % (31598)------------------------------
% 0.67/0.80 % (31609)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.67/0.80 % (31599)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31596"
% 0.67/0.80 % (31606)Instruction limit reached!
% 0.67/0.80 % (31606)------------------------------
% 0.67/0.80 % (31606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.80 % (31606)Termination reason: Unknown
% 0.67/0.80 % (31606)Termination phase: Saturation
% 0.67/0.80
% 0.67/0.80 % (31606)Memory used [KB]: 1778
% 0.67/0.80 % (31606)Time elapsed: 0.021 s
% 0.67/0.80 % (31606)Instructions burned: 50 (million)
% 0.67/0.80 % (31606)------------------------------
% 0.67/0.80 % (31606)------------------------------
% 0.67/0.80 % (31599)Refutation found. Thanks to Tanya!
% 0.67/0.80 % SZS status Theorem for Vampire---4
% 0.67/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.80 % (31599)------------------------------
% 0.67/0.80 % (31599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.80 % (31599)Termination reason: Refutation
% 0.67/0.80
% 0.67/0.80 % (31599)Memory used [KB]: 1674
% 0.67/0.80 % (31599)Time elapsed: 0.032 s
% 0.67/0.80 % (31599)Instructions burned: 62 (million)
% 0.67/0.80 % (31596)Success in time 0.445 s
% 0.67/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------