TSTP Solution File: ALG024+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG024+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n009.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 15:42:02 EDT 2022
% Result : Unsatisfiable 2.21s 0.71s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 123
% Syntax : Number of formulae : 924 ( 70 unt; 0 def)
% Number of atoms : 2476 ( 996 equ)
% Maximal formula atoms : 64 ( 2 avg)
% Number of connectives : 2924 (1372 ~;1274 |; 160 &)
% ( 102 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 104 ( 102 usr; 103 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3684,plain,
$false,
inference(avatar_sat_refutation,[],[f288,f305,f322,f331,f383,f392,f401,f418,f431,f436,f449,f471,f488,f493,f507,f521,f526,f543,f570,f571,f581,f598,f607,f624,f629,f646,f651,f668,f685,f695,f713,f714,f719,f721,f722,f727,f745,f746,f748,f749,f750,f755,f760,f761,f762,f764,f779,f783,f793,f797,f806,f811,f828,f833,f841,f846,f848,f853,f859,f916,f929,f933,f961,f979,f993,f1009,f1016,f1023,f1027,f1040,f1057,f1066,f1068,f1070,f1080,f1082,f1102,f1108,f1122,f1147,f1148,f1151,f1152,f1155,f1163,f1174,f1189,f1196,f1198,f1201,f1214,f1246,f1279,f1287,f1294,f1295,f1300,f1312,f1314,f1329,f1348,f1368,f1430,f1432,f1434,f1478,f1503,f1514,f1516,f1519,f1553,f1559,f1592,f1593,f1594,f1596,f1608,f1658,f1659,f1708,f1730,f1733,f1744,f1748,f1765,f1768,f1825,f1833,f1898,f1905,f1917,f1936,f1938,f1940,f1955,f1957,f1960,f1962,f1966,f1968,f1985,f1999,f2012,f2058,f2066,f2132,f2158,f2182,f2184,f2200,f2212,f2247,f2259,f2264,f2269,f2271,f2285,f2287,f2290,f2295,f2298,f2310,f2314,f2318,f2374,f2375,f2377,f2383,f2388,f2448,f2468,f2484,f2521,f2535,f2546,f2554,f2555,f2562,f2569,f2575,f2602,f2662,f2736,f2864,f2867,f2878,f2882,f2885,f2886,f2894,f2955,f2980,f3018,f3078,f3087,f3091,f3092,f3099,f3112,f3142,f3145,f3148,f3157,f3163,f3191,f3192,f3324,f3335,f3340,f3347,f3446,f3488,f3492,f3678,f3683]) ).
fof(f3683,plain,
( ~ spl0_2
| spl0_40
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3682,plain,
( $false
| ~ spl0_2
| spl0_40
| ~ spl0_49
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f3681,f279]) ).
fof(f279,plain,
( e3 = op(e2,e1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl0_2
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f3681,plain,
( e3 != op(e2,e1)
| spl0_40
| ~ spl0_49
| ~ spl0_53 ),
inference(forward_demodulation,[],[f3680,f483]) ).
fof(f483,plain,
( e2 = op(e1,e0)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl0_49
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f3680,plain,
( e3 != op(op(e1,e0),e1)
| spl0_40
| ~ spl0_53 ),
inference(forward_demodulation,[],[f444,f501]) ).
fof(f501,plain,
( e0 = op(e1,e1)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl0_53
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f444,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| spl0_40 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl0_40
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f3678,plain,
( spl0_21
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f3677]) ).
fof(f3677,plain,
( $false
| spl0_21
| ~ spl0_49
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f3676,f483]) ).
fof(f3676,plain,
( e2 != op(e1,e0)
| spl0_21
| ~ spl0_53 ),
inference(superposition,[],[f361,f501]) ).
fof(f361,plain,
( e2 != op(e1,op(e1,e1))
| spl0_21 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl0_21
<=> e2 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3492,plain,
( ~ spl0_30
| ~ spl0_71
| spl0_75
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f3491]) ).
fof(f3491,plain,
( $false
| ~ spl0_30
| ~ spl0_71
| spl0_75
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f3490,f585]) ).
fof(f585,plain,
( e0 = op(e1,e2)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f583,plain,
( spl0_71
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f3490,plain,
( e0 != op(e1,e2)
| ~ spl0_30
| spl0_75
| ~ spl0_89 ),
inference(superposition,[],[f3352,f663]) ).
fof(f663,plain,
( e1 = op(e2,e3)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl0_89
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f3352,plain,
( e0 != op(op(e2,e3),e2)
| ~ spl0_30
| spl0_75 ),
inference(forward_demodulation,[],[f602,f399]) ).
fof(f399,plain,
( e3 = op(e2,e2)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl0_30
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f602,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| spl0_75 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f600,plain,
( spl0_75
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f3488,plain,
( ~ spl0_30
| spl0_76
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f3487]) ).
fof(f3487,plain,
( $false
| ~ spl0_30
| spl0_76
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f3486,f663]) ).
fof(f3486,plain,
( e1 != op(e2,e3)
| ~ spl0_30
| spl0_76 ),
inference(superposition,[],[f606,f399]) ).
fof(f606,plain,
( e1 != op(e2,op(e2,e2))
| spl0_76 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl0_76
<=> e1 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f3446,plain,
( ~ spl0_82
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f3445]) ).
fof(f3445,plain,
( $false
| ~ spl0_82
| ~ spl0_104 ),
inference(subsumption_resolution,[],[f3443,f633]) ).
fof(f633,plain,
( e3 = op(e3,e0)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f631,plain,
( spl0_82
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f3443,plain,
( e3 != op(e3,e0)
| ~ spl0_104 ),
inference(superposition,[],[f123,f736]) ).
fof(f736,plain,
( e3 = op(e3,e1)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f734,plain,
( spl0_104
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f123,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( op(e1,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e0,e2) != op(e2,e2)
& op(e1,e1) != op(e1,e2)
& op(e2,e0) != op(e2,e2)
& op(e3,e1) != op(e3,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e0) != op(e3,e3)
& op(e1,e1) != op(e2,e1)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e2,e1) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e1) != op(e3,e3)
& op(e1,e2) != op(e2,e2)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e0,e3)
& op(e3,e2) != op(e3,e3)
& op(e0,e0) != op(e1,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e3) != op(e2,e3)
& op(e0,e2) != op(e3,e2)
& op(e1,e0) != op(e1,e2)
& op(e3,e0) != op(e3,e2)
& op(e2,e3) != op(e3,e3)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e0,e0) != op(e2,e0)
& op(e0,e3) != op(e2,e3)
& op(e2,e2) != op(e3,e2)
& op(e0,e1) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e1,e3) != op(e3,e3)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e1) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e0) != op(e1,e3)
& op(e0,e1) != op(e3,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f3347,plain,
( ~ spl0_3
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f3305,f653,f281]) ).
fof(f281,plain,
( spl0_3
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f653,plain,
( spl0_87
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f3305,plain,
( e0 != op(e2,e1)
| ~ spl0_87 ),
inference(superposition,[],[f111,f655]) ).
fof(f655,plain,
( e0 = op(e2,e3)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f111,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f3340,plain,
( ~ spl0_2
| ~ spl0_32
| ~ spl0_68
| spl0_75 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| ~ spl0_2
| ~ spl0_32
| ~ spl0_68
| spl0_75 ),
inference(subsumption_resolution,[],[f3338,f409]) ).
fof(f409,plain,
( e0 = op(e3,e2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f407,plain,
( spl0_32
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f3338,plain,
( e0 != op(e3,e2)
| ~ spl0_2
| ~ spl0_68
| spl0_75 ),
inference(forward_demodulation,[],[f3337,f279]) ).
fof(f3337,plain,
( e0 != op(op(e2,e1),e2)
| ~ spl0_68
| spl0_75 ),
inference(forward_demodulation,[],[f602,f567]) ).
fof(f567,plain,
( e1 = op(e2,e2)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f566,plain,
( spl0_68
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f3335,plain,
( ~ spl0_2
| spl0_19
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f3334]) ).
fof(f3334,plain,
( $false
| ~ spl0_2
| spl0_19
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f3332,f279]) ).
fof(f3332,plain,
( e3 != op(e2,e1)
| spl0_19
| ~ spl0_68 ),
inference(superposition,[],[f352,f567]) ).
fof(f352,plain,
( e3 != op(e2,op(e2,e2))
| spl0_19 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl0_19
<=> e3 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f3324,plain,
( ~ spl0_63
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f3323]) ).
fof(f3323,plain,
( $false
| ~ spl0_63
| ~ spl0_102 ),
inference(subsumption_resolution,[],[f3318,f547]) ).
fof(f547,plain,
( e2 = op(e0,e2)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f545,plain,
( spl0_63
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f3318,plain,
( e2 != op(e0,e2)
| ~ spl0_102 ),
inference(superposition,[],[f122,f725]) ).
fof(f725,plain,
( e2 = op(e2,e2)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl0_102
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f122,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f3192,plain,
( spl0_32
| ~ spl0_13
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f3184,f536,f324,f407]) ).
fof(f324,plain,
( spl0_13
<=> e3 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f536,plain,
( spl0_61
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f3184,plain,
( e0 = op(e3,e2)
| ~ spl0_13
| ~ spl0_61 ),
inference(forward_demodulation,[],[f3177,f538]) ).
fof(f538,plain,
( e0 = unit
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f3177,plain,
( op(e3,e2) = unit
| ~ spl0_13 ),
inference(superposition,[],[f130,f326]) ).
fof(f326,plain,
( e3 = inv(e2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f130,plain,
unit = op(inv(e2),e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( unit = op(inv(e1),e1)
& ( e2 = inv(e3)
| e1 = inv(e3)
| e0 = inv(e3)
| e3 = inv(e3) )
& unit = op(e0,inv(e0))
& unit = op(e2,inv(e2))
& ( e0 = inv(e1)
| e1 = inv(e1)
| e2 = inv(e1)
| e3 = inv(e1) )
& unit = op(e3,inv(e3))
& unit = op(e1,inv(e1))
& unit = op(inv(e2),e2)
& ( e1 = inv(e0)
| e0 = inv(e0)
| e3 = inv(e0)
| e2 = inv(e0) )
& ( e1 = inv(e2)
| e0 = inv(e2)
| e2 = inv(e2)
| e3 = inv(e2) )
& unit = op(inv(e0),e0)
& unit = op(inv(e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3191,plain,
( spl0_87
| ~ spl0_13
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f3188,f536,f324,f653]) ).
fof(f3188,plain,
( e0 = op(e2,e3)
| ~ spl0_13
| ~ spl0_61 ),
inference(forward_demodulation,[],[f3178,f538]) ).
fof(f3178,plain,
( op(e2,e3) = unit
| ~ spl0_13 ),
inference(superposition,[],[f134,f326]) ).
fof(f134,plain,
unit = op(e2,inv(e2)),
inference(cnf_transformation,[],[f4]) ).
fof(f3163,plain,
( spl0_35
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f3162]) ).
fof(f3162,plain,
( $false
| spl0_35
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f3129,f421]) ).
fof(f421,plain,
( e2 != inv(e2)
| spl0_35 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f420,plain,
( spl0_35
<=> e2 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f3129,plain,
( e2 = inv(e2)
| ~ spl0_60 ),
inference(superposition,[],[f138,f534]) ).
fof(f534,plain,
( e2 = unit
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl0_60
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f138,plain,
unit = inv(unit),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
unit = inv(unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f3157,plain,
( ~ spl0_103
| spl0_51
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f3149,f648,f490,f730]) ).
fof(f730,plain,
( spl0_103
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f490,plain,
( spl0_51
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f648,plain,
( spl0_86
<=> e3 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f3149,plain,
( e2 != op(e3,e1)
| spl0_51
| ~ spl0_86 ),
inference(forward_demodulation,[],[f492,f649]) ).
fof(f649,plain,
( e3 = op(e1,op(e1,e1))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f492,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| spl0_51 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f3148,plain,
( ~ spl0_60
| ~ spl0_100
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f3147]) ).
fof(f3147,plain,
( $false
| ~ spl0_60
| ~ spl0_100
| ~ spl0_105 ),
inference(subsumption_resolution,[],[f3146,f194]) ).
fof(f194,plain,
e0 != e2,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( e2 != e3
& e0 != e3
& e1 != e3
& e0 != e1
& e0 != e2
& e1 != e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f3146,plain,
( e0 = e2
| ~ spl0_60
| ~ spl0_100
| ~ spl0_105 ),
inference(forward_demodulation,[],[f3143,f740]) ).
fof(f740,plain,
( e0 = op(e3,e1)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f738,plain,
( spl0_105
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f3143,plain,
( e2 = op(e3,e1)
| ~ spl0_60
| ~ spl0_100 ),
inference(forward_demodulation,[],[f3134,f534]) ).
fof(f3134,plain,
( op(e3,e1) = unit
| ~ spl0_100 ),
inference(superposition,[],[f137,f712]) ).
fof(f712,plain,
( e3 = inv(e1)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl0_100
<=> e3 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f137,plain,
unit = op(inv(e1),e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3145,plain,
( ~ spl0_60
| ~ spl0_100
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f3144]) ).
fof(f3144,plain,
( $false
| ~ spl0_60
| ~ spl0_100
| spl0_103 ),
inference(subsumption_resolution,[],[f3143,f731]) ).
fof(f731,plain,
( e2 != op(e3,e1)
| spl0_103 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f3142,plain,
( spl0_5
| ~ spl0_60
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f3141]) ).
fof(f3141,plain,
( $false
| spl0_5
| ~ spl0_60
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f3140,f291]) ).
fof(f291,plain,
( e2 != op(e1,e3)
| spl0_5 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl0_5
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f3140,plain,
( e2 = op(e1,e3)
| ~ spl0_60
| ~ spl0_100 ),
inference(forward_demodulation,[],[f3133,f534]) ).
fof(f3133,plain,
( op(e1,e3) = unit
| ~ spl0_100 ),
inference(superposition,[],[f131,f712]) ).
fof(f131,plain,
unit = op(e1,inv(e1)),
inference(cnf_transformation,[],[f4]) ).
fof(f3112,plain,
( ~ spl0_3
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl0_3
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f3048,f283]) ).
fof(f283,plain,
( e0 = op(e2,e1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f3048,plain,
( e0 != op(e2,e1)
| ~ spl0_18 ),
inference(superposition,[],[f82,f347]) ).
fof(f347,plain,
( e0 = op(e2,e2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl0_18
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f82,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f3099,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f3098]) ).
fof(f3098,plain,
( $false
| ~ spl0_2
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f3034,f368]) ).
fof(f368,plain,
( e3 = op(e1,e1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl0_23
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f3034,plain,
( e3 != op(e1,e1)
| ~ spl0_2 ),
inference(superposition,[],[f116,f279]) ).
fof(f116,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f3092,plain,
( spl0_105
| ~ spl0_61
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f3030,f716,f536,f738]) ).
fof(f716,plain,
( spl0_101
<=> e1 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f3030,plain,
( e0 = op(e3,e1)
| ~ spl0_61
| ~ spl0_101 ),
inference(forward_demodulation,[],[f3023,f538]) ).
fof(f3023,plain,
( op(e3,e1) = unit
| ~ spl0_101 ),
inference(superposition,[],[f132,f718]) ).
fof(f718,plain,
( e1 = inv(e3)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f132,plain,
unit = op(e3,inv(e3)),
inference(cnf_transformation,[],[f4]) ).
fof(f3091,plain,
( ~ spl0_105
| spl0_22
| ~ spl0_41
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3090,f595,f446,f363,f738]) ).
fof(f363,plain,
( spl0_22
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f446,plain,
( spl0_41
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f595,plain,
( spl0_74
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f3090,plain,
( e0 != op(e3,e1)
| spl0_22
| ~ spl0_41
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3089,f597]) ).
fof(f597,plain,
( e3 = op(e1,e2)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f3089,plain,
( e0 != op(op(e1,e2),e1)
| spl0_22
| ~ spl0_41 ),
inference(forward_demodulation,[],[f365,f447]) ).
fof(f447,plain,
( e2 = op(e1,e1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f365,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| spl0_22 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f3087,plain,
( ~ spl0_71
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f3040,f302,f583]) ).
fof(f302,plain,
( spl0_8
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3040,plain,
( e0 != op(e1,e2)
| ~ spl0_8 ),
inference(superposition,[],[f79,f304]) ).
fof(f304,plain,
( e0 = op(e1,e3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f79,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f3078,plain,
( ~ spl0_74
| ~ spl0_41
| spl0_86 ),
inference(avatar_split_clause,[],[f3077,f648,f446,f595]) ).
fof(f3077,plain,
( e3 != op(e1,e2)
| ~ spl0_41
| spl0_86 ),
inference(forward_demodulation,[],[f650,f447]) ).
fof(f650,plain,
( e3 != op(e1,op(e1,e1))
| spl0_86 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f3018,plain,
( spl0_8
| ~ spl0_61
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f3015,f710,f536,f302]) ).
fof(f3015,plain,
( e0 = op(e1,e3)
| ~ spl0_61
| ~ spl0_100 ),
inference(forward_demodulation,[],[f3007,f538]) ).
fof(f3007,plain,
( op(e1,e3) = unit
| ~ spl0_100 ),
inference(superposition,[],[f131,f712]) ).
fof(f2980,plain,
( ~ spl0_26
| ~ spl0_56
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f2979,plain,
( $false
| ~ spl0_26
| ~ spl0_56
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f2978,f193]) ).
fof(f193,plain,
e1 != e2,
inference(cnf_transformation,[],[f10]) ).
fof(f2978,plain,
( e1 = e2
| ~ spl0_26
| ~ spl0_56
| ~ spl0_60 ),
inference(forward_demodulation,[],[f2977,f381]) ).
fof(f381,plain,
( op(e0,e0) = e1
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl0_26
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2977,plain,
( op(e0,e0) = e2
| ~ spl0_56
| ~ spl0_60 ),
inference(forward_demodulation,[],[f2968,f534]) ).
fof(f2968,plain,
( op(e0,e0) = unit
| ~ spl0_56 ),
inference(superposition,[],[f135,f516]) ).
fof(f516,plain,
( e0 = inv(e0)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl0_56
<=> e0 = inv(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f135,plain,
unit = op(e0,inv(e0)),
inference(cnf_transformation,[],[f4]) ).
fof(f2955,plain,
( ~ spl0_27
| ~ spl0_60
| spl0_77 ),
inference(avatar_contradiction_clause,[],[f2954]) ).
fof(f2954,plain,
( $false
| ~ spl0_27
| ~ spl0_60
| spl0_77 ),
inference(subsumption_resolution,[],[f2953,f610]) ).
fof(f610,plain,
( e2 != op(e0,e3)
| spl0_77 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl0_77
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f2953,plain,
( e2 = op(e0,e3)
| ~ spl0_27
| ~ spl0_60 ),
inference(forward_demodulation,[],[f2949,f534]) ).
fof(f2949,plain,
( op(e0,e3) = unit
| ~ spl0_27 ),
inference(superposition,[],[f135,f387]) ).
fof(f387,plain,
( e3 = inv(e0)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl0_27
<=> e3 = inv(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2894,plain,
( ~ spl0_48
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f2813,f678,f477]) ).
fof(f477,plain,
( spl0_48
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f678,plain,
( spl0_93
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f2813,plain,
( e3 != op(e1,e0)
| ~ spl0_93 ),
inference(superposition,[],[f85,f680]) ).
fof(f680,plain,
( e3 = op(e2,e0)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f85,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f2886,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f2769,f481,f337]) ).
fof(f337,plain,
( spl0_16
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2769,plain,
( op(e0,e0) != e2
| ~ spl0_49 ),
inference(superposition,[],[f104,f483]) ).
fof(f104,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f2885,plain,
( ~ spl0_9
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f2884]) ).
fof(f2884,plain,
( $false
| ~ spl0_9
| ~ spl0_106 ),
inference(subsumption_resolution,[],[f2815,f309]) ).
fof(f309,plain,
( e1 = op(e0,e1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl0_9
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2815,plain,
( e1 != op(e0,e1)
| ~ spl0_106 ),
inference(superposition,[],[f77,f744]) ).
fof(f744,plain,
( e1 = op(e3,e1)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl0_106
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f77,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f2882,plain,
( spl0_65
| ~ spl0_55
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2697,f528,f510,f553]) ).
fof(f553,plain,
( spl0_65
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f510,plain,
( spl0_55
<=> e2 = inv(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f528,plain,
( spl0_59
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2697,plain,
( e3 = op(e0,e2)
| ~ spl0_55
| ~ spl0_59 ),
inference(forward_demodulation,[],[f2692,f530]) ).
fof(f530,plain,
( e3 = unit
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f2692,plain,
( op(e0,e2) = unit
| ~ spl0_55 ),
inference(superposition,[],[f135,f512]) ).
fof(f512,plain,
( e2 = inv(e0)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f2878,plain,
( ~ spl0_45
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f2877]) ).
fof(f2877,plain,
( $false
| ~ spl0_45
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f2812,f465]) ).
fof(f465,plain,
( op(e0,e0) = e3
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl0_45
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2812,plain,
( op(e0,e0) != e3
| ~ spl0_93 ),
inference(superposition,[],[f94,f680]) ).
fof(f94,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f2867,plain,
( ~ spl0_12
| spl0_25
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2866]) ).
fof(f2866,plain,
( $false
| ~ spl0_12
| spl0_25
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f2865,f321]) ).
fof(f321,plain,
( e2 = op(e0,e1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl0_12
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2865,plain,
( e2 != op(e0,e1)
| spl0_25
| ~ spl0_26 ),
inference(forward_demodulation,[],[f378,f381]) ).
fof(f378,plain,
( e2 != op(e0,op(e0,e0))
| spl0_25 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl0_25
<=> e2 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2864,plain,
( ~ spl0_12
| spl0_24
| ~ spl0_26
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f2863]) ).
fof(f2863,plain,
( $false
| ~ spl0_12
| spl0_24
| ~ spl0_26
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f2862,f680]) ).
fof(f2862,plain,
( e3 != op(e2,e0)
| ~ spl0_12
| spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f2861,f321]) ).
fof(f2861,plain,
( e3 != op(op(e0,e1),e0)
| spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f374,f381]) ).
fof(f374,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| spl0_24 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl0_24
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2736,plain,
( ~ spl0_10
| spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f2635,f380,f333,f311]) ).
fof(f311,plain,
( spl0_10
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f333,plain,
( spl0_15
<=> e3 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f2635,plain,
( e3 != op(e0,e1)
| spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f335,f381]) ).
fof(f335,plain,
( e3 != op(e0,op(e0,e0))
| spl0_15 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f2662,plain,
( ~ spl0_61
| spl0_63 ),
inference(avatar_contradiction_clause,[],[f2661]) ).
fof(f2661,plain,
( $false
| ~ spl0_61
| spl0_63 ),
inference(subsumption_resolution,[],[f2656,f546]) ).
fof(f546,plain,
( e2 != op(e0,e2)
| spl0_63 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f2656,plain,
( e2 = op(e0,e2)
| ~ spl0_61 ),
inference(superposition,[],[f69,f538]) ).
fof(f69,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e1 = op(unit,e1)
& e2 = op(unit,e2)
& e3 = op(unit,e3)
& e0 = op(unit,e0)
& e0 = op(e0,unit)
& e2 = op(e2,unit)
& e3 = op(e3,unit)
& e1 = op(e1,unit)
& ( e2 = unit
| e3 = unit
| e0 = unit
| e1 = unit ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2602,plain,
( ~ spl0_55
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f2601]) ).
fof(f2601,plain,
( $false
| ~ spl0_55
| ~ spl0_56 ),
inference(subsumption_resolution,[],[f2600,f194]) ).
fof(f2600,plain,
( e0 = e2
| ~ spl0_55
| ~ spl0_56 ),
inference(forward_demodulation,[],[f512,f516]) ).
fof(f2575,plain,
( spl0_54
| ~ spl0_61
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2574,plain,
( $false
| spl0_54
| ~ spl0_61
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f2573,f506]) ).
fof(f506,plain,
( e0 != op(e3,e3)
| spl0_54 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl0_54
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f2573,plain,
( e0 = op(e3,e3)
| ~ spl0_61
| ~ spl0_107 ),
inference(forward_demodulation,[],[f2408,f538]) ).
fof(f2408,plain,
( op(e3,e3) = unit
| ~ spl0_107 ),
inference(superposition,[],[f126,f754]) ).
fof(f754,plain,
( e3 = inv(e3)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl0_107
<=> e3 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f126,plain,
unit = op(inv(e3),e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2569,plain,
( ~ spl0_47
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f2506,f674,f473]) ).
fof(f473,plain,
( spl0_47
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f674,plain,
( spl0_92
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f2506,plain,
( e1 != op(e1,e0)
| ~ spl0_92 ),
inference(superposition,[],[f85,f676]) ).
fof(f676,plain,
( e1 = op(e2,e0)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f2562,plain,
( ~ spl0_58
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f2561]) ).
fof(f2561,plain,
( $false
| ~ spl0_58
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f2560,f193]) ).
fof(f2560,plain,
( e1 = e2
| ~ spl0_58
| ~ spl0_98 ),
inference(forward_demodulation,[],[f525,f704]) ).
fof(f704,plain,
( e1 = inv(e1)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f702,plain,
( spl0_98
<=> e1 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f525,plain,
( e2 = inv(e1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl0_58
<=> e2 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2555,plain,
( ~ spl0_18
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f2357,f407,f346]) ).
fof(f2357,plain,
( e0 != op(e2,e2)
| ~ spl0_32 ),
inference(superposition,[],[f92,f409]) ).
fof(f92,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2554,plain,
( spl0_20
| ~ spl0_30
| ~ spl0_64
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f2553]) ).
fof(f2553,plain,
( $false
| spl0_20
| ~ spl0_30
| ~ spl0_64
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f2552,f551]) ).
fof(f551,plain,
( e1 = op(e0,e2)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl0_64
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f2552,plain,
( e1 != op(e0,e2)
| spl0_20
| ~ spl0_30
| ~ spl0_87 ),
inference(forward_demodulation,[],[f2551,f655]) ).
fof(f2551,plain,
( e1 != op(op(e2,e3),e2)
| spl0_20
| ~ spl0_30 ),
inference(forward_demodulation,[],[f356,f399]) ).
fof(f356,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| spl0_20 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl0_20
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f2546,plain,
( ~ spl0_4
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f2545]) ).
fof(f2545,plain,
( $false
| ~ spl0_4
| ~ spl0_90 ),
inference(subsumption_resolution,[],[f2541,f287]) ).
fof(f287,plain,
( e2 = op(e2,e1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl0_4
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2541,plain,
( e2 != op(e2,e1)
| ~ spl0_90 ),
inference(superposition,[],[f111,f667]) ).
fof(f667,plain,
( e2 = op(e2,e3)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl0_90
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f2535,plain,
( spl0_29
| ~ spl0_30
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f2534]) ).
fof(f2534,plain,
( $false
| spl0_29
| ~ spl0_30
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f2528,f655]) ).
fof(f2528,plain,
( e0 != op(e2,e3)
| spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f396,f399]) ).
fof(f396,plain,
( e0 != op(e2,op(e2,e2))
| spl0_29 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl0_29
<=> e0 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f2521,plain,
( ~ spl0_72
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2520,plain,
( $false
| ~ spl0_72
| ~ spl0_102 ),
inference(subsumption_resolution,[],[f2509,f589]) ).
fof(f589,plain,
( e2 = op(e1,e2)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl0_72
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2509,plain,
( e2 != op(e1,e2)
| ~ spl0_102 ),
inference(superposition,[],[f108,f725]) ).
fof(f108,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2484,plain,
( ~ spl0_45
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
fof(f2483,plain,
( $false
| ~ spl0_45
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f2482,f465]) ).
fof(f2482,plain,
( op(e0,e0) != e3
| ~ spl0_65 ),
inference(superposition,[],[f88,f555]) ).
fof(f555,plain,
( e3 = op(e0,e2)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f88,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2468,plain,
( spl0_64
| ~ spl0_37
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2399,f540,f428,f549]) ).
fof(f428,plain,
( spl0_37
<=> e0 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f540,plain,
( spl0_62
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f2399,plain,
( e1 = op(e0,e2)
| ~ spl0_37
| ~ spl0_62 ),
inference(forward_demodulation,[],[f2391,f542]) ).
fof(f542,plain,
( e1 = unit
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f2391,plain,
( op(e0,e2) = unit
| ~ spl0_37 ),
inference(superposition,[],[f130,f430]) ).
fof(f430,plain,
( e0 = inv(e2)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f2448,plain,
( ~ spl0_68
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2447,plain,
( $false
| ~ spl0_68
| ~ spl0_92 ),
inference(subsumption_resolution,[],[f2438,f676]) ).
fof(f2438,plain,
( e1 != op(e2,e0)
| ~ spl0_68 ),
inference(superposition,[],[f120,f567]) ).
fof(f120,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2388,plain,
( ~ spl0_28
| ~ spl0_62
| spl0_78 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2387,plain,
( $false
| ~ spl0_28
| ~ spl0_62
| spl0_78 ),
inference(subsumption_resolution,[],[f2342,f614]) ).
fof(f614,plain,
( e1 != op(e0,e3)
| spl0_78 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl0_78
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2342,plain,
( e1 = op(e0,e3)
| ~ spl0_28
| ~ spl0_62 ),
inference(forward_demodulation,[],[f2333,f542]) ).
fof(f2333,plain,
( op(e0,e3) = unit
| ~ spl0_28 ),
inference(superposition,[],[f126,f390]) ).
fof(f390,plain,
( e0 = inv(e3)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl0_28
<=> e0 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2383,plain,
( ~ spl0_27
| ~ spl0_62
| spl0_78 ),
inference(avatar_contradiction_clause,[],[f2382]) ).
fof(f2382,plain,
( $false
| ~ spl0_27
| ~ spl0_62
| spl0_78 ),
inference(subsumption_resolution,[],[f2332,f614]) ).
fof(f2332,plain,
( e1 = op(e0,e3)
| ~ spl0_27
| ~ spl0_62 ),
inference(forward_demodulation,[],[f2327,f542]) ).
fof(f2327,plain,
( op(e0,e3) = unit
| ~ spl0_27 ),
inference(superposition,[],[f135,f387]) ).
fof(f2377,plain,
( ~ spl0_52
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2356,f315,f496]) ).
fof(f496,plain,
( spl0_52
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f315,plain,
( spl0_11
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2356,plain,
( e0 != op(e0,e0)
| ~ spl0_11 ),
inference(superposition,[],[f112,f317]) ).
fof(f317,plain,
( e0 = op(e0,e1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f112,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f2375,plain,
( spl0_83
| ~ spl0_27
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2331,f540,f385,f635]) ).
fof(f635,plain,
( spl0_83
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f2331,plain,
( e1 = op(e3,e0)
| ~ spl0_27
| ~ spl0_62 ),
inference(forward_demodulation,[],[f2326,f542]) ).
fof(f2326,plain,
( op(e3,e0) = unit
| ~ spl0_27 ),
inference(superposition,[],[f127,f387]) ).
fof(f127,plain,
unit = op(inv(e0),e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2374,plain,
( ~ spl0_32
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f2373]) ).
fof(f2373,plain,
( $false
| ~ spl0_32
| ~ spl0_54 ),
inference(subsumption_resolution,[],[f2367,f409]) ).
fof(f2367,plain,
( e0 != op(e3,e2)
| ~ spl0_54 ),
inference(superposition,[],[f105,f505]) ).
fof(f505,plain,
( e0 = op(e3,e3)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f105,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2318,plain,
( spl0_11
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f2317]) ).
fof(f2317,plain,
( $false
| spl0_11
| ~ spl0_62 ),
inference(subsumption_resolution,[],[f1975,f316]) ).
fof(f316,plain,
( e0 != op(e0,e1)
| spl0_11 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f1975,plain,
( e0 = op(e0,e1)
| ~ spl0_62 ),
inference(superposition,[],[f66,f542]) ).
fof(f66,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f2314,plain,
( ~ spl0_9
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f2172,f626,f307]) ).
fof(f626,plain,
( spl0_81
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2172,plain,
( e1 != op(e0,e1)
| ~ spl0_81 ),
inference(superposition,[],[f91,f627]) ).
fof(f627,plain,
( e1 = op(e1,e1)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f91,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f2310,plain,
( ~ spl0_32
| ~ spl0_78
| ~ spl0_96
| spl0_108 ),
inference(avatar_contradiction_clause,[],[f2309]) ).
fof(f2309,plain,
( $false
| ~ spl0_32
| ~ spl0_78
| ~ spl0_96
| spl0_108 ),
inference(subsumption_resolution,[],[f2308,f615]) ).
fof(f615,plain,
( e1 = op(e0,e3)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f2308,plain,
( e1 != op(e0,e3)
| ~ spl0_32
| ~ spl0_96
| spl0_108 ),
inference(forward_demodulation,[],[f2307,f409]) ).
fof(f2307,plain,
( e1 != op(op(e3,e2),e3)
| ~ spl0_96
| spl0_108 ),
inference(forward_demodulation,[],[f759,f694]) ).
fof(f694,plain,
( e2 = op(e3,e3)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f692,plain,
( spl0_96
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f759,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| spl0_108 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl0_108
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f2298,plain,
( ~ spl0_103
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2297,plain,
( $false
| ~ spl0_103
| ~ spl0_104 ),
inference(subsumption_resolution,[],[f2296,f198]) ).
fof(f198,plain,
e2 != e3,
inference(cnf_transformation,[],[f10]) ).
fof(f2296,plain,
( e2 = e3
| ~ spl0_103
| ~ spl0_104 ),
inference(forward_demodulation,[],[f736,f732]) ).
fof(f732,plain,
( e2 = op(e3,e1)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f2295,plain,
( ~ spl0_62
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2294,plain,
( $false
| ~ spl0_62
| spl0_104 ),
inference(subsumption_resolution,[],[f1973,f735]) ).
fof(f735,plain,
( e3 != op(e3,e1)
| spl0_104 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f1973,plain,
( e3 = op(e3,e1)
| ~ spl0_62 ),
inference(superposition,[],[f64,f542]) ).
fof(f64,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f2290,plain,
( ~ spl0_4
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f2289]) ).
fof(f2289,plain,
( $false
| ~ spl0_4
| ~ spl0_91 ),
inference(subsumption_resolution,[],[f2041,f672]) ).
fof(f672,plain,
( e2 = op(e2,e0)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl0_91
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f2041,plain,
( e2 != op(e2,e0)
| ~ spl0_4 ),
inference(superposition,[],[f83,f287]) ).
fof(f83,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f2287,plain,
( ~ spl0_43
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f2286]) ).
fof(f2286,plain,
( $false
| ~ spl0_43
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f2277,f663]) ).
fof(f2277,plain,
( e1 != op(e2,e3)
| ~ spl0_43 ),
inference(superposition,[],[f98,f456]) ).
fof(f456,plain,
( e1 = op(e3,e3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl0_43
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f98,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2285,plain,
( ~ spl0_31
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f2284]) ).
fof(f2284,plain,
( $false
| ~ spl0_31
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f2278,f405]) ).
fof(f405,plain,
( e1 = op(e3,e2)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl0_31
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2278,plain,
( e1 != op(e3,e2)
| ~ spl0_43 ),
inference(superposition,[],[f105,f456]) ).
fof(f2271,plain,
( ~ spl0_14
| ~ spl0_62
| spl0_89 ),
inference(avatar_contradiction_clause,[],[f2270]) ).
fof(f2270,plain,
( $false
| ~ spl0_14
| ~ spl0_62
| spl0_89 ),
inference(subsumption_resolution,[],[f2028,f662]) ).
fof(f662,plain,
( e1 != op(e2,e3)
| spl0_89 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f2028,plain,
( e1 = op(e2,e3)
| ~ spl0_14
| ~ spl0_62 ),
inference(forward_demodulation,[],[f2020,f542]) ).
fof(f2020,plain,
( op(e2,e3) = unit
| ~ spl0_14 ),
inference(superposition,[],[f126,f329]) ).
fof(f329,plain,
( e2 = inv(e3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl0_14
<=> e2 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f2269,plain,
( ~ spl0_54
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2268,plain,
( $false
| ~ spl0_54
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f2249,f655]) ).
fof(f2249,plain,
( e0 != op(e2,e3)
| ~ spl0_54 ),
inference(superposition,[],[f98,f505]) ).
fof(f2264,plain,
( ~ spl0_54
| ~ spl0_84
| ~ spl0_89
| spl0_108 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2263,plain,
( $false
| ~ spl0_54
| ~ spl0_84
| ~ spl0_89
| spl0_108 ),
inference(subsumption_resolution,[],[f2262,f663]) ).
fof(f2262,plain,
( e1 != op(e2,e3)
| ~ spl0_54
| ~ spl0_84
| spl0_108 ),
inference(forward_demodulation,[],[f2261,f641]) ).
fof(f641,plain,
( e2 = op(e3,e0)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl0_84
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2261,plain,
( e1 != op(op(e3,e0),e3)
| ~ spl0_54
| spl0_108 ),
inference(forward_demodulation,[],[f759,f505]) ).
fof(f2259,plain,
( ~ spl0_54
| spl0_69
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f2258]) ).
fof(f2258,plain,
( $false
| ~ spl0_54
| spl0_69
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f2257,f641]) ).
fof(f2257,plain,
( e2 != op(e3,e0)
| ~ spl0_54
| spl0_69 ),
inference(superposition,[],[f575,f505]) ).
fof(f575,plain,
( e2 != op(e3,op(e3,e3))
| spl0_69 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl0_69
<=> e2 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f2247,plain,
( ~ spl0_84
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
fof(f2246,plain,
( $false
| ~ spl0_84
| ~ spl0_96 ),
inference(subsumption_resolution,[],[f2239,f641]) ).
fof(f2239,plain,
( e2 != op(e3,e0)
| ~ spl0_96 ),
inference(superposition,[],[f117,f694]) ).
fof(f117,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2212,plain,
( ~ spl0_50
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2211]) ).
fof(f2211,plain,
( $false
| ~ spl0_50
| ~ spl0_85 ),
inference(subsumption_resolution,[],[f2206,f487]) ).
fof(f487,plain,
( e0 = op(e1,e0)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl0_50
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2206,plain,
( e0 != op(e1,e0)
| ~ spl0_85 ),
inference(superposition,[],[f103,f645]) ).
fof(f645,plain,
( e0 = op(e3,e0)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl0_85
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f103,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f2200,plain,
( ~ spl0_46
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f2199]) ).
fof(f2199,plain,
( $false
| ~ spl0_46
| ~ spl0_104 ),
inference(subsumption_resolution,[],[f2192,f736]) ).
fof(f2192,plain,
( e3 != op(e3,e1)
| ~ spl0_46 ),
inference(superposition,[],[f109,f469]) ).
fof(f469,plain,
( e3 = op(e3,e3)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl0_46
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f109,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2184,plain,
( ~ spl0_31
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f2183]) ).
fof(f2183,plain,
( $false
| ~ spl0_31
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f2126,f637]) ).
fof(f637,plain,
( e1 = op(e3,e0)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f2126,plain,
( e1 != op(e3,e0)
| ~ spl0_31 ),
inference(superposition,[],[f99,f405]) ).
fof(f99,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2182,plain,
( ~ spl0_82
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f2181]) ).
fof(f2181,plain,
( $false
| ~ spl0_82
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f2177,f680]) ).
fof(f2177,plain,
( e3 != op(e2,e0)
| ~ spl0_82 ),
inference(superposition,[],[f115,f633]) ).
fof(f115,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f2158,plain,
( ~ spl0_63
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f2157]) ).
fof(f2157,plain,
( $false
| ~ spl0_63
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f2154,f547]) ).
fof(f2154,plain,
( e2 != op(e0,e2)
| ~ spl0_72 ),
inference(superposition,[],[f118,f589]) ).
fof(f118,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2132,plain,
( ~ spl0_31
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f2131]) ).
fof(f2131,plain,
( $false
| ~ spl0_31
| ~ spl0_68 ),
inference(subsumption_resolution,[],[f2125,f567]) ).
fof(f2125,plain,
( e1 != op(e2,e2)
| ~ spl0_31 ),
inference(superposition,[],[f92,f405]) ).
fof(f2066,plain,
( spl0_7
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1977,f540,f298]) ).
fof(f298,plain,
( spl0_7
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1977,plain,
( e3 = op(e1,e3)
| ~ spl0_62 ),
inference(superposition,[],[f68,f542]) ).
fof(f68,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2058,plain,
( ~ spl0_7
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f2057]) ).
fof(f2057,plain,
( $false
| ~ spl0_7
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f2050,f623]) ).
fof(f623,plain,
( e3 = op(e0,e3)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl0_80
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f2050,plain,
( e3 != op(e0,e3)
| ~ spl0_7 ),
inference(superposition,[],[f110,f300]) ).
fof(f300,plain,
( e3 = op(e1,e3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f110,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2012,plain,
( ~ spl0_13
| spl0_31
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f2011]) ).
fof(f2011,plain,
( $false
| ~ spl0_13
| spl0_31
| ~ spl0_62 ),
inference(subsumption_resolution,[],[f2010,f404]) ).
fof(f404,plain,
( e1 != op(e3,e2)
| spl0_31 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f2010,plain,
( e1 = op(e3,e2)
| ~ spl0_13
| ~ spl0_62 ),
inference(forward_demodulation,[],[f2002,f542]) ).
fof(f2002,plain,
( op(e3,e2) = unit
| ~ spl0_13 ),
inference(superposition,[],[f130,f326]) ).
fof(f1999,plain,
( ~ spl0_13
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1998]) ).
fof(f1998,plain,
( $false
| ~ spl0_13
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f1997,f198]) ).
fof(f1997,plain,
( e2 = e3
| ~ spl0_13
| ~ spl0_35 ),
inference(forward_demodulation,[],[f326,f422]) ).
fof(f422,plain,
( e2 = inv(e2)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f1985,plain,
( ~ spl0_62
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f1984]) ).
fof(f1984,plain,
( $false
| ~ spl0_62
| spl0_72 ),
inference(subsumption_resolution,[],[f1978,f588]) ).
fof(f588,plain,
( e2 != op(e1,e2)
| spl0_72 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1978,plain,
( e2 = op(e1,e2)
| ~ spl0_62 ),
inference(superposition,[],[f69,f542]) ).
fof(f1968,plain,
( ~ spl0_61
| spl0_82 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1967,plain,
( $false
| ~ spl0_61
| spl0_82 ),
inference(subsumption_resolution,[],[f1944,f632]) ).
fof(f632,plain,
( e3 != op(e3,e0)
| spl0_82 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1944,plain,
( e3 = op(e3,e0)
| ~ spl0_61 ),
inference(superposition,[],[f64,f538]) ).
fof(f1966,plain,
( spl0_52
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1965]) ).
fof(f1965,plain,
( $false
| spl0_52
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f1947,f498]) ).
fof(f498,plain,
( e0 != op(e0,e0)
| spl0_52 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f1947,plain,
( e0 = op(e0,e0)
| ~ spl0_61 ),
inference(superposition,[],[f67,f538]) ).
fof(f67,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1962,plain,
( ~ spl0_61
| spl0_80 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1961,plain,
( $false
| ~ spl0_61
| spl0_80 ),
inference(subsumption_resolution,[],[f1948,f622]) ).
fof(f622,plain,
( e3 != op(e0,e3)
| spl0_80 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f1948,plain,
( e3 = op(e0,e3)
| ~ spl0_61 ),
inference(superposition,[],[f68,f538]) ).
fof(f1960,plain,
( ~ spl0_61
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
fof(f1959,plain,
( $false
| ~ spl0_61
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f1958,f194]) ).
fof(f1958,plain,
( e0 = e2
| ~ spl0_61
| ~ spl0_94 ),
inference(forward_demodulation,[],[f1945,f684]) ).
fof(f684,plain,
( e0 = op(e2,e0)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f682,plain,
( spl0_94
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1945,plain,
( e2 = op(e2,e0)
| ~ spl0_61 ),
inference(superposition,[],[f65,f538]) ).
fof(f65,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f1957,plain,
( spl0_9
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1956,plain,
( $false
| spl0_9
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f1950,f308]) ).
fof(f308,plain,
( e1 != op(e0,e1)
| spl0_9 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f1950,plain,
( e1 = op(e0,e1)
| ~ spl0_61 ),
inference(superposition,[],[f70,f538]) ).
fof(f70,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1955,plain,
( spl0_47
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1954]) ).
fof(f1954,plain,
( $false
| spl0_47
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f1943,f474]) ).
fof(f474,plain,
( e1 != op(e1,e0)
| spl0_47 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f1943,plain,
( e1 = op(e1,e0)
| ~ spl0_61 ),
inference(superposition,[],[f63,f538]) ).
fof(f63,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f1940,plain,
( spl0_4
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1939,plain,
( $false
| spl0_4
| ~ spl0_62 ),
inference(subsumption_resolution,[],[f1921,f286]) ).
fof(f286,plain,
( e2 != op(e2,e1)
| spl0_4 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f1921,plain,
( e2 = op(e2,e1)
| ~ spl0_62 ),
inference(superposition,[],[f65,f542]) ).
fof(f1938,plain,
( ~ spl0_62
| spl0_81 ),
inference(avatar_contradiction_clause,[],[f1937]) ).
fof(f1937,plain,
( $false
| ~ spl0_62
| spl0_81 ),
inference(subsumption_resolution,[],[f1919,f628]) ).
fof(f628,plain,
( e1 != op(e1,e1)
| spl0_81 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f1919,plain,
( e1 = op(e1,e1)
| ~ spl0_62 ),
inference(superposition,[],[f63,f542]) ).
fof(f1936,plain,
( spl0_50
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1935,plain,
( $false
| spl0_50
| ~ spl0_62 ),
inference(subsumption_resolution,[],[f1923,f486]) ).
fof(f486,plain,
( e0 != op(e1,e0)
| spl0_50 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f1923,plain,
( e0 = op(e1,e0)
| ~ spl0_62 ),
inference(superposition,[],[f67,f542]) ).
fof(f1917,plain,
( ~ spl0_33
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1916,plain,
( $false
| ~ spl0_33
| ~ spl0_104 ),
inference(subsumption_resolution,[],[f1849,f736]) ).
fof(f1849,plain,
( e3 != op(e3,e1)
| ~ spl0_33 ),
inference(superposition,[],[f119,f413]) ).
fof(f413,plain,
( e3 = op(e3,e2)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl0_33
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f119,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1905,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_23
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f1904]) ).
fof(f1904,plain,
( $false
| ~ spl0_8
| ~ spl0_12
| ~ spl0_23
| spl0_51 ),
inference(subsumption_resolution,[],[f1903,f321]) ).
fof(f1903,plain,
( e2 != op(e0,e1)
| ~ spl0_8
| ~ spl0_23
| spl0_51 ),
inference(forward_demodulation,[],[f1902,f304]) ).
fof(f1902,plain,
( e2 != op(op(e1,e3),e1)
| ~ spl0_23
| spl0_51 ),
inference(forward_demodulation,[],[f492,f368]) ).
fof(f1898,plain,
( ~ spl0_7
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1897,plain,
( $false
| ~ spl0_7
| ~ spl0_88 ),
inference(subsumption_resolution,[],[f1893,f300]) ).
fof(f1893,plain,
( e3 != op(e1,e3)
| ~ spl0_88 ),
inference(superposition,[],[f102,f659]) ).
fof(f659,plain,
( e3 = op(e2,e3)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl0_88
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f102,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1833,plain,
( ~ spl0_5
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1832,plain,
( $false
| ~ spl0_5
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1826,f483]) ).
fof(f1826,plain,
( e2 != op(e1,e0)
| ~ spl0_5 ),
inference(superposition,[],[f78,f292]) ).
fof(f292,plain,
( e2 = op(e1,e3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f78,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1825,plain,
( ~ spl0_8
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1824,plain,
( $false
| ~ spl0_8
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f1820,f501]) ).
fof(f1820,plain,
( e0 != op(e1,e1)
| ~ spl0_8 ),
inference(superposition,[],[f84,f304]) ).
fof(f84,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1768,plain,
( ~ spl0_35
| ~ spl0_62
| spl0_68 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1767,plain,
( $false
| ~ spl0_35
| ~ spl0_62
| spl0_68 ),
inference(subsumption_resolution,[],[f1766,f568]) ).
fof(f568,plain,
( e1 != op(e2,e2)
| spl0_68 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1766,plain,
( e1 = op(e2,e2)
| ~ spl0_35
| ~ spl0_62 ),
inference(forward_demodulation,[],[f1443,f542]) ).
fof(f1443,plain,
( op(e2,e2) = unit
| ~ spl0_35 ),
inference(superposition,[],[f134,f422]) ).
fof(f1765,plain,
( spl0_43
| ~ spl0_62
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1764,plain,
( $false
| spl0_43
| ~ spl0_62
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f1763,f457]) ).
fof(f457,plain,
( e1 != op(e3,e3)
| spl0_43 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f1763,plain,
( e1 = op(e3,e3)
| ~ spl0_62
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1263,f542]) ).
fof(f1263,plain,
( op(e3,e3) = unit
| ~ spl0_107 ),
inference(superposition,[],[f126,f754]) ).
fof(f1748,plain,
( spl0_12
| ~ spl0_60
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1747,plain,
( $false
| spl0_12
| ~ spl0_60
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f1746,f320]) ).
fof(f320,plain,
( e2 != op(e0,e1)
| spl0_12 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f1746,plain,
( e2 = op(e0,e1)
| ~ spl0_60
| ~ spl0_99 ),
inference(forward_demodulation,[],[f1465,f534]) ).
fof(f1465,plain,
( op(e0,e1) = unit
| ~ spl0_99 ),
inference(superposition,[],[f137,f708]) ).
fof(f708,plain,
( e0 = inv(e1)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl0_99
<=> e0 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1744,plain,
( spl0_49
| ~ spl0_57
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1743,plain,
( $false
| spl0_49
| ~ spl0_57
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f1742,f482]) ).
fof(f482,plain,
( e2 != op(e1,e0)
| spl0_49 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f1742,plain,
( e2 = op(e1,e0)
| ~ spl0_57
| ~ spl0_60 ),
inference(forward_demodulation,[],[f1453,f534]) ).
fof(f1453,plain,
( op(e1,e0) = unit
| ~ spl0_57 ),
inference(superposition,[],[f127,f520]) ).
fof(f520,plain,
( e1 = inv(e0)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl0_57
<=> e1 = inv(e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1733,plain,
( ~ spl0_60
| spl0_96
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1732,plain,
( $false
| ~ spl0_60
| spl0_96
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f1731,f693]) ).
fof(f693,plain,
( e2 != op(e3,e3)
| spl0_96 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f1731,plain,
( e2 = op(e3,e3)
| ~ spl0_60
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1263,f534]) ).
fof(f1730,plain,
( ~ spl0_102
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1667,f665,f724]) ).
fof(f1667,plain,
( e2 != op(e2,e2)
| ~ spl0_90 ),
inference(superposition,[],[f95,f667]) ).
fof(f95,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1708,plain,
( ~ spl0_10
| ~ spl0_39
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f1707]) ).
fof(f1707,plain,
( $false
| ~ spl0_10
| ~ spl0_39
| spl0_40 ),
inference(subsumption_resolution,[],[f1706,f313]) ).
fof(f313,plain,
( e3 = op(e0,e1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f1706,plain,
( e3 != op(e0,e1)
| ~ spl0_39
| spl0_40 ),
inference(forward_demodulation,[],[f444,f439]) ).
fof(f439,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl0_39
<=> e0 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1659,plain,
( spl0_90
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1180,f528,f665]) ).
fof(f1180,plain,
( e2 = op(e2,e3)
| ~ spl0_59 ),
inference(superposition,[],[f65,f530]) ).
fof(f1658,plain,
( ~ spl0_90
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1657,plain,
( $false
| ~ spl0_90
| ~ spl0_91 ),
inference(subsumption_resolution,[],[f1649,f672]) ).
fof(f1649,plain,
( e2 != op(e2,e0)
| ~ spl0_90 ),
inference(superposition,[],[f81,f667]) ).
fof(f81,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1608,plain,
( ~ spl0_2
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1495,f398,f277]) ).
fof(f1495,plain,
( e3 != op(e2,e1)
| ~ spl0_30 ),
inference(superposition,[],[f82,f399]) ).
fof(f1596,plain,
( spl0_48
| ~ spl0_57
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1595,plain,
( $false
| spl0_48
| ~ spl0_57
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f1459,f478]) ).
fof(f478,plain,
( e3 != op(e1,e0)
| spl0_48 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f1459,plain,
( e3 = op(e1,e0)
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1453,f530]) ).
fof(f1594,plain,
( spl0_10
| ~ spl0_57
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1463,f528,f518,f311]) ).
fof(f1463,plain,
( e3 = op(e0,e1)
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1454,f530]) ).
fof(f1454,plain,
( op(e0,e1) = unit
| ~ spl0_57 ),
inference(superposition,[],[f135,f520]) ).
fof(f1593,plain,
( ~ spl0_11
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1588,f617,f315]) ).
fof(f617,plain,
( spl0_79
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1588,plain,
( e0 != op(e0,e1)
| ~ spl0_79 ),
inference(superposition,[],[f106,f619]) ).
fof(f619,plain,
( e0 = op(e0,e3)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1592,plain,
( ~ spl0_52
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f1591]) ).
fof(f1591,plain,
( $false
| ~ spl0_52
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f1590,f497]) ).
fof(f497,plain,
( e0 = op(e0,e0)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f1590,plain,
( e0 != op(e0,e0)
| ~ spl0_79 ),
inference(superposition,[],[f89,f619]) ).
fof(f89,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1559,plain,
( spl0_46
| ~ spl0_59
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1273,f752,f528,f468]) ).
fof(f1273,plain,
( e3 = op(e3,e3)
| ~ spl0_59
| ~ spl0_107 ),
inference(forward_demodulation,[],[f1264,f530]) ).
fof(f1264,plain,
( op(e3,e3) = unit
| ~ spl0_107 ),
inference(superposition,[],[f132,f754]) ).
fof(f1553,plain,
( ~ spl0_32
| spl0_44
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1552,f692,f459,f407]) ).
fof(f459,plain,
( spl0_44
<=> e0 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1552,plain,
( e0 != op(e3,e2)
| spl0_44
| ~ spl0_96 ),
inference(forward_demodulation,[],[f461,f694]) ).
fof(f461,plain,
( e0 != op(e3,op(e3,e3))
| spl0_44 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f1519,plain,
( spl0_34
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1184,f528,f415]) ).
fof(f415,plain,
( spl0_34
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1184,plain,
( e2 = op(e3,e2)
| ~ spl0_59 ),
inference(superposition,[],[f69,f530]) ).
fof(f1516,plain,
( ~ spl0_34
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl0_34
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f1510,f589]) ).
fof(f1510,plain,
( e2 != op(e1,e2)
| ~ spl0_34 ),
inference(superposition,[],[f124,f417]) ).
fof(f417,plain,
( e2 = op(e3,e2)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f124,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1514,plain,
( ~ spl0_34
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1513,plain,
( $false
| ~ spl0_34
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f1508,f547]) ).
fof(f1508,plain,
( e2 != op(e0,e2)
| ~ spl0_34 ),
inference(superposition,[],[f101,f417]) ).
fof(f101,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1503,plain,
( ~ spl0_30
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1502,plain,
( $false
| ~ spl0_30
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f1497,f680]) ).
fof(f1497,plain,
( e3 != op(e2,e0)
| ~ spl0_30 ),
inference(superposition,[],[f120,f399]) ).
fof(f1478,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1477,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1474,f313]) ).
fof(f1474,plain,
( e3 != op(e0,e1)
| ~ spl0_2 ),
inference(superposition,[],[f107,f279]) ).
fof(f107,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1434,plain,
( ~ spl0_45
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1109,f311,f464]) ).
fof(f1109,plain,
( op(e0,e0) != e3
| ~ spl0_10 ),
inference(superposition,[],[f112,f313]) ).
fof(f1432,plain,
( ~ spl0_13
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| ~ spl0_13
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f1266,f326]) ).
fof(f1266,plain,
( e3 != inv(e2)
| ~ spl0_107 ),
inference(superposition,[],[f146,f754]) ).
fof(f146,plain,
inv(e2) != inv(e3),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( inv(e1) != inv(e3)
& inv(e0) != inv(e1)
& inv(e2) != inv(e3)
& inv(e0) != inv(e2)
& inv(e0) != inv(e3)
& inv(e1) != inv(e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f1430,plain,
( spl0_45
| ~ spl0_56
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1429,plain,
( $false
| spl0_45
| ~ spl0_56
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f1428,f466]) ).
fof(f466,plain,
( op(e0,e0) != e3
| spl0_45 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1428,plain,
( op(e0,e0) = e3
| ~ spl0_56
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1419,f530]) ).
fof(f1419,plain,
( op(e0,e0) = unit
| ~ spl0_56 ),
inference(superposition,[],[f127,f516]) ).
fof(f1368,plain,
( ~ spl0_37
| ~ spl0_59
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1367,plain,
( $false
| ~ spl0_37
| ~ spl0_59
| ~ spl0_92 ),
inference(subsumption_resolution,[],[f1366,f196]) ).
fof(f196,plain,
e1 != e3,
inference(cnf_transformation,[],[f10]) ).
fof(f1366,plain,
( e1 = e3
| ~ spl0_37
| ~ spl0_59
| ~ spl0_92 ),
inference(forward_demodulation,[],[f1365,f676]) ).
fof(f1365,plain,
( e3 = op(e2,e0)
| ~ spl0_37
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1355,f530]) ).
fof(f1355,plain,
( op(e2,e0) = unit
| ~ spl0_37 ),
inference(superposition,[],[f134,f430]) ).
fof(f1348,plain,
( spl0_2
| ~ spl0_36
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1343,f528,f424,f277]) ).
fof(f424,plain,
( spl0_36
<=> e1 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1343,plain,
( e3 = op(e2,e1)
| ~ spl0_36
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1337,f530]) ).
fof(f1337,plain,
( op(e2,e1) = unit
| ~ spl0_36 ),
inference(superposition,[],[f134,f426]) ).
fof(f426,plain,
( e1 = inv(e2)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1329,plain,
( ~ spl0_30
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1328,plain,
( $false
| ~ spl0_30
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f1322,f597]) ).
fof(f1322,plain,
( e3 != op(e1,e2)
| ~ spl0_30 ),
inference(superposition,[],[f108,f399]) ).
fof(f1314,plain,
( ~ spl0_10
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1313,plain,
( $false
| ~ spl0_10
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f1309,f313]) ).
fof(f1309,plain,
( e3 != op(e0,e1)
| ~ spl0_23 ),
inference(superposition,[],[f91,f368]) ).
fof(f1312,plain,
( ~ spl0_23
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl0_23
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f1310,f479]) ).
fof(f479,plain,
( e3 = op(e1,e0)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f1310,plain,
( e3 != op(e1,e0)
| ~ spl0_23 ),
inference(superposition,[],[f80,f368]) ).
fof(f80,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1300,plain,
( ~ spl0_48
| ~ spl0_53
| spl0_86 ),
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1299,plain,
( $false
| ~ spl0_48
| ~ spl0_53
| spl0_86 ),
inference(subsumption_resolution,[],[f1298,f479]) ).
fof(f1298,plain,
( e3 != op(e1,e0)
| ~ spl0_53
| spl0_86 ),
inference(forward_demodulation,[],[f650,f501]) ).
fof(f1295,plain,
( ~ spl0_53
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1275,f281,f500]) ).
fof(f1275,plain,
( e0 != op(e1,e1)
| ~ spl0_3 ),
inference(superposition,[],[f116,f283]) ).
fof(f1294,plain,
( spl0_39
| ~ spl0_41
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1293,plain,
( $false
| spl0_39
| ~ spl0_41
| ~ spl0_71 ),
inference(subsumption_resolution,[],[f939,f585]) ).
fof(f939,plain,
( e0 != op(e1,e2)
| spl0_39
| ~ spl0_41 ),
inference(forward_demodulation,[],[f440,f447]) ).
fof(f440,plain,
( e0 != op(e1,op(e1,e1))
| spl0_39 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f1287,plain,
( ~ spl0_6
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1286]) ).
fof(f1286,plain,
( $false
| ~ spl0_6
| ~ spl0_73 ),
inference(subsumption_resolution,[],[f1284,f593]) ).
fof(f593,plain,
( e1 = op(e1,e2)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl0_73
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1284,plain,
( e1 != op(e1,e2)
| ~ spl0_6 ),
inference(superposition,[],[f79,f296]) ).
fof(f296,plain,
( e1 = op(e1,e3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl0_6
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1279,plain,
( ~ spl0_3
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1278,plain,
( $false
| ~ spl0_3
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f1277,f684]) ).
fof(f1277,plain,
( e0 != op(e2,e0)
| ~ spl0_3 ),
inference(superposition,[],[f83,f283]) ).
fof(f1246,plain,
( spl0_30
| ~ spl0_35
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1231,f528,f420,f398]) ).
fof(f1231,plain,
( e3 = op(e2,e2)
| ~ spl0_35
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1220,f530]) ).
fof(f1220,plain,
( op(e2,e2) = unit
| ~ spl0_35 ),
inference(superposition,[],[f130,f422]) ).
fof(f1214,plain,
( ~ spl0_37
| ~ spl0_59
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl0_37
| ~ spl0_59
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f1212,f197]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[],[f10]) ).
fof(f1212,plain,
( e0 = e3
| ~ spl0_37
| ~ spl0_59
| ~ spl0_94 ),
inference(forward_demodulation,[],[f1211,f684]) ).
fof(f1211,plain,
( e3 = op(e2,e0)
| ~ spl0_37
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1205,f530]) ).
fof(f1205,plain,
( op(e2,e0) = unit
| ~ spl0_37 ),
inference(superposition,[],[f134,f430]) ).
fof(f1201,plain,
( spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1178,f528,f294]) ).
fof(f1178,plain,
( e1 = op(e1,e3)
| ~ spl0_59 ),
inference(superposition,[],[f63,f530]) ).
fof(f1198,plain,
( spl0_85
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1182,f528,f643]) ).
fof(f1182,plain,
( e0 = op(e3,e0)
| ~ spl0_59 ),
inference(superposition,[],[f67,f530]) ).
fof(f1196,plain,
( spl0_106
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1185,f528,f742]) ).
fof(f1185,plain,
( e1 = op(e3,e1)
| ~ spl0_59 ),
inference(superposition,[],[f70,f530]) ).
fof(f1189,plain,
( ~ spl0_59
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl0_59
| spl0_79 ),
inference(subsumption_resolution,[],[f1181,f618]) ).
fof(f618,plain,
( e0 != op(e0,e3)
| spl0_79 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f1181,plain,
( e0 = op(e0,e3)
| ~ spl0_59 ),
inference(superposition,[],[f66,f530]) ).
fof(f1174,plain,
( ~ spl0_80
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1173,plain,
( $false
| ~ spl0_80
| ~ spl0_88 ),
inference(subsumption_resolution,[],[f1003,f623]) ).
fof(f1003,plain,
( e3 != op(e0,e3)
| ~ spl0_88 ),
inference(superposition,[],[f93,f659]) ).
fof(f93,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1163,plain,
( ~ spl0_101
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl0_101
| ~ spl0_107 ),
inference(subsumption_resolution,[],[f1161,f196]) ).
fof(f1161,plain,
( e1 = e3
| ~ spl0_101
| ~ spl0_107 ),
inference(forward_demodulation,[],[f754,f718]) ).
fof(f1155,plain,
( ~ spl0_35
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl0_35
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f862,f512]) ).
fof(f862,plain,
( e2 != inv(e0)
| ~ spl0_35 ),
inference(superposition,[],[f145,f422]) ).
fof(f145,plain,
inv(e0) != inv(e2),
inference(cnf_transformation,[],[f8]) ).
fof(f1152,plain,
( ~ spl0_82
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1019,f411,f631]) ).
fof(f1019,plain,
( e3 != op(e3,e0)
| ~ spl0_33 ),
inference(superposition,[],[f99,f413]) ).
fof(f1151,plain,
( ~ spl0_98
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| ~ spl0_98
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f1149,f196]) ).
fof(f1149,plain,
( e1 = e3
| ~ spl0_98
| ~ spl0_100 ),
inference(forward_demodulation,[],[f712,f704]) ).
fof(f1148,plain,
( ~ spl0_16
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f997,f609,f337]) ).
fof(f997,plain,
( op(e0,e0) != e2
| ~ spl0_77 ),
inference(superposition,[],[f89,f611]) ).
fof(f611,plain,
( e2 = op(e0,e3)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f1147,plain,
( ~ spl0_10
| ~ spl0_26
| spl0_38
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| ~ spl0_10
| ~ spl0_26
| spl0_38
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f1145,f641]) ).
fof(f1145,plain,
( e2 != op(e3,e0)
| ~ spl0_10
| ~ spl0_26
| spl0_38 ),
inference(forward_demodulation,[],[f1144,f313]) ).
fof(f1144,plain,
( e2 != op(op(e0,e1),e0)
| ~ spl0_26
| spl0_38 ),
inference(forward_demodulation,[],[f435,f381]) ).
fof(f435,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| spl0_38 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl0_38
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1122,plain,
( ~ spl0_81
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1121,f273,f626]) ).
fof(f273,plain,
( spl0_1
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1121,plain,
( e1 != op(e1,e1)
| ~ spl0_1 ),
inference(superposition,[],[f116,f275]) ).
fof(f275,plain,
( e1 = op(e2,e1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f1108,plain,
( ~ spl0_11
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1104,f557,f315]) ).
fof(f557,plain,
( spl0_66
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1104,plain,
( e0 != op(e0,e1)
| ~ spl0_66 ),
inference(superposition,[],[f114,f559]) ).
fof(f559,plain,
( e0 = op(e0,e2)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f114,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1102,plain,
( ~ spl0_78
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1101,f455,f613]) ).
fof(f1101,plain,
( e1 != op(e0,e3)
| ~ spl0_43 ),
inference(superposition,[],[f113,f456]) ).
fof(f113,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1082,plain,
( ~ spl0_1
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| ~ spl0_1
| ~ spl0_106 ),
inference(subsumption_resolution,[],[f1077,f275]) ).
fof(f1077,plain,
( e1 != op(e2,e1)
| ~ spl0_106 ),
inference(superposition,[],[f97,f744]) ).
fof(f97,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1080,plain,
( ~ spl0_81
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1078,f742,f626]) ).
fof(f1078,plain,
( e1 != op(e1,e1)
| ~ spl0_106 ),
inference(superposition,[],[f96,f744]) ).
fof(f96,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1070,plain,
( ~ spl0_12
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl0_12
| ~ spl0_77 ),
inference(subsumption_resolution,[],[f1062,f321]) ).
fof(f1062,plain,
( e2 != op(e0,e1)
| ~ spl0_77 ),
inference(superposition,[],[f106,f611]) ).
fof(f1068,plain,
( ~ spl0_12
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl0_12
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f1000,f321]) ).
fof(f1000,plain,
( e2 != op(e0,e1)
| ~ spl0_41 ),
inference(superposition,[],[f91,f447]) ).
fof(f1066,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1065,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1064,f309]) ).
fof(f1064,plain,
( e1 != op(e0,e1)
| ~ spl0_1 ),
inference(superposition,[],[f107,f275]) ).
fof(f1057,plain,
( ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| ~ spl0_45
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f1055,f465]) ).
fof(f1055,plain,
( op(e0,e0) != e3
| ~ spl0_48 ),
inference(superposition,[],[f104,f479]) ).
fof(f1040,plain,
( ~ spl0_5
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
fof(f1039,plain,
( $false
| ~ spl0_5
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f1035,f447]) ).
fof(f1035,plain,
( e2 != op(e1,e1)
| ~ spl0_5 ),
inference(superposition,[],[f84,f292]) ).
fof(f1027,plain,
( ~ spl0_49
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f968,f446,f481]) ).
fof(f968,plain,
( e2 != op(e1,e0)
| ~ spl0_41 ),
inference(superposition,[],[f80,f447]) ).
fof(f1023,plain,
( ~ spl0_47
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1022,plain,
( $false
| ~ spl0_47
| ~ spl0_73 ),
inference(subsumption_resolution,[],[f1021,f475]) ).
fof(f475,plain,
( e1 = op(e1,e0)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f1021,plain,
( e1 != op(e1,e0)
| ~ spl0_73 ),
inference(superposition,[],[f100,f593]) ).
fof(f100,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1016,plain,
( ~ spl0_3
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1015,f738,f281]) ).
fof(f1015,plain,
( e0 != op(e2,e1)
| ~ spl0_105 ),
inference(superposition,[],[f97,f740]) ).
fof(f1009,plain,
( ~ spl0_41
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1008,plain,
( $false
| ~ spl0_41
| ~ spl0_103 ),
inference(subsumption_resolution,[],[f1007,f447]) ).
fof(f1007,plain,
( e2 != op(e1,e1)
| ~ spl0_103 ),
inference(superposition,[],[f96,f732]) ).
fof(f993,plain,
( ~ spl0_52
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f989,f557,f496]) ).
fof(f989,plain,
( e0 != op(e0,e0)
| ~ spl0_66 ),
inference(superposition,[],[f88,f559]) ).
fof(f979,plain,
( ~ spl0_50
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f978,f682,f485]) ).
fof(f978,plain,
( e0 != op(e1,e0)
| ~ spl0_94 ),
inference(superposition,[],[f85,f684]) ).
fof(f961,plain,
( ~ spl0_6
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f960,plain,
( $false
| ~ spl0_6
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f959,f475]) ).
fof(f959,plain,
( e1 != op(e1,e0)
| ~ spl0_6 ),
inference(superposition,[],[f78,f296]) ).
fof(f933,plain,
( ~ spl0_8
| ~ spl0_23
| spl0_39 ),
inference(avatar_split_clause,[],[f932,f438,f367,f302]) ).
fof(f932,plain,
( e0 != op(e1,e3)
| ~ spl0_23
| spl0_39 ),
inference(forward_demodulation,[],[f440,f368]) ).
fof(f929,plain,
( spl0_41
| ~ spl0_60
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f928,plain,
( $false
| spl0_41
| ~ spl0_60
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f927,f448]) ).
fof(f448,plain,
( e2 != op(e1,e1)
| spl0_41 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f927,plain,
( e2 = op(e1,e1)
| ~ spl0_60
| ~ spl0_98 ),
inference(forward_demodulation,[],[f926,f534]) ).
fof(f926,plain,
( op(e1,e1) = unit
| ~ spl0_98 ),
inference(superposition,[],[f131,f704]) ).
fof(f916,plain,
( spl0_84
| ~ spl0_27
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f915,f532,f385,f639]) ).
fof(f915,plain,
( e2 = op(e3,e0)
| ~ spl0_27
| ~ spl0_60 ),
inference(forward_demodulation,[],[f914,f534]) ).
fof(f914,plain,
( op(e3,e0) = unit
| ~ spl0_27 ),
inference(superposition,[],[f127,f387]) ).
fof(f859,plain,
( spl0_1
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f858,f532,f273]) ).
fof(f858,plain,
( e1 = op(e2,e1)
| ~ spl0_60 ),
inference(superposition,[],[f70,f534]) ).
fof(f853,plain,
( spl0_88
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f849,f532,f657]) ).
fof(f849,plain,
( e3 = op(e2,e3)
| ~ spl0_60 ),
inference(superposition,[],[f68,f534]) ).
fof(f848,plain,
( spl0_94
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f847,f532,f682]) ).
fof(f847,plain,
( e0 = op(e2,e0)
| ~ spl0_60 ),
inference(superposition,[],[f67,f534]) ).
fof(f846,plain,
( spl0_66
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f845,f532,f557]) ).
fof(f845,plain,
( e0 = op(e0,e2)
| ~ spl0_60 ),
inference(superposition,[],[f66,f534]) ).
fof(f841,plain,
( spl0_102
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f837,f532,f724]) ).
fof(f837,plain,
( e2 = op(e2,e2)
| ~ spl0_60 ),
inference(superposition,[],[f65,f534]) ).
fof(f833,plain,
( spl0_33
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f829,f532,f411]) ).
fof(f829,plain,
( e3 = op(e3,e2)
| ~ spl0_60 ),
inference(superposition,[],[f64,f534]) ).
fof(f828,plain,
( spl0_73
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f824,f532,f591]) ).
fof(f824,plain,
( e1 = op(e1,e2)
| ~ spl0_60 ),
inference(superposition,[],[f63,f534]) ).
fof(f811,plain,
( spl0_98
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f810,f540,f702]) ).
fof(f810,plain,
( e1 = inv(e1)
| ~ spl0_62 ),
inference(superposition,[],[f138,f542]) ).
fof(f806,plain,
( ~ spl0_27
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl0_27
| ~ spl0_56 ),
inference(subsumption_resolution,[],[f802,f197]) ).
fof(f802,plain,
( e0 = e3
| ~ spl0_27
| ~ spl0_56 ),
inference(superposition,[],[f387,f516]) ).
fof(f797,plain,
( spl0_56
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f796,f536,f514]) ).
fof(f796,plain,
( e0 = inv(e0)
| ~ spl0_61 ),
inference(superposition,[],[f138,f538]) ).
fof(f793,plain,
( ~ spl0_36
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f792,plain,
( $false
| ~ spl0_36
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f791,f193]) ).
fof(f791,plain,
( e1 = e2
| ~ spl0_36
| ~ spl0_60 ),
inference(forward_demodulation,[],[f790,f426]) ).
fof(f790,plain,
( e2 = inv(e2)
| ~ spl0_60 ),
inference(superposition,[],[f138,f534]) ).
fof(f783,plain,
( spl0_107
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f776,f528,f752]) ).
fof(f776,plain,
( e3 = inv(e3)
| ~ spl0_59 ),
inference(superposition,[],[f138,f530]) ).
fof(f779,plain,
( ~ spl0_28
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl0_28
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f777,f197]) ).
fof(f777,plain,
( e0 = e3
| ~ spl0_28
| ~ spl0_59 ),
inference(forward_demodulation,[],[f776,f390]) ).
fof(f764,plain,
( ~ spl0_69
| ~ spl0_108
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f200,f504,f757,f573]) ).
fof(f200,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f762,plain,
( ~ spl0_58
| spl0_36 ),
inference(avatar_split_clause,[],[f164,f424,f523]) ).
fof(f164,plain,
( e1 = inv(e2)
| e2 != inv(e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e3 != inv(e0)
| e0 = inv(e3) )
& ( e3 != inv(e2)
| e2 = inv(e3) )
& ( e1 = inv(e0)
| e0 != inv(e1) )
& ( e0 != inv(e3)
| e3 = inv(e0) )
& ( e2 = inv(e2)
| e2 != inv(e2) )
& ( e2 = inv(e1)
| e1 != inv(e2) )
& ( e1 = inv(e3)
| e3 != inv(e1) )
& ( e0 = inv(e0)
| e0 != inv(e0) )
& ( e2 != inv(e3)
| e3 = inv(e2) )
& ( e1 = inv(e2)
| e2 != inv(e1) )
& ( e0 = inv(e2)
| e2 != inv(e0) )
& ( e2 = inv(e0)
| e0 != inv(e2) )
& ( e3 != inv(e3)
| e3 = inv(e3) )
& ( e0 = inv(e1)
| e1 != inv(e0) )
& ( e1 != inv(e3)
| e3 = inv(e1) )
& ( e1 = inv(e1)
| e1 != inv(e1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
( ( e0 = inv(e2)
=> e2 = inv(e0) )
& ( e2 = inv(e0)
=> e0 = inv(e2) )
& ( e1 = inv(e2)
=> e2 = inv(e1) )
& ( e2 = inv(e2)
=> e2 = inv(e2) )
& ( e0 = inv(e1)
=> e1 = inv(e0) )
& ( e1 = inv(e3)
=> e3 = inv(e1) )
& ( e3 = inv(e2)
=> e2 = inv(e3) )
& ( e3 = inv(e0)
=> e0 = inv(e3) )
& ( e2 = inv(e3)
=> e3 = inv(e2) )
& ( e1 = inv(e1)
=> e1 = inv(e1) )
& ( e0 = inv(e3)
=> e3 = inv(e0) )
& ( e2 = inv(e1)
=> e1 = inv(e2) )
& ( e3 = inv(e3)
=> e3 = inv(e3) )
& ( e1 = inv(e0)
=> e0 = inv(e1) )
& ( e0 = inv(e0)
=> e0 = inv(e0) )
& ( e3 = inv(e1)
=> e1 = inv(e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f761,plain,
( spl0_30
| spl0_18
| spl0_102
| spl0_68 ),
inference(avatar_split_clause,[],[f191,f566,f724,f346,f398]) ).
fof(f191,plain,
( e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e1 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1) )
& ( e1 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2) )
& ( op(e0,e0) = e1
| e0 = op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( e1 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e2 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e1 = op(e2,e0) )
& ( e1 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2) )
& ( e0 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e2 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1) )
& ( e2 = op(e1,e2)
| e3 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2) )
& ( e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e2 = op(e3,e3)
| e3 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e2 = op(e1,e0)
| e3 = op(e1,e0)
| e0 = op(e1,e0)
| e1 = op(e1,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f760,plain,
( ~ spl0_108
| ~ spl0_96
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f176,f459,f692,f757]) ).
fof(f176,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f755,plain,
( spl0_14
| spl0_101
| spl0_107
| spl0_28 ),
inference(avatar_split_clause,[],[f136,f389,f752,f716,f328]) ).
fof(f136,plain,
( e0 = inv(e3)
| e3 = inv(e3)
| e1 = inv(e3)
| e2 = inv(e3) ),
inference(cnf_transformation,[],[f4]) ).
fof(f750,plain,
( ~ spl0_86
| ~ spl0_53
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f155,f490,f500,f648]) ).
fof(f155,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f749,plain,
( spl0_100
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f159,f716,f710]) ).
fof(f159,plain,
( e1 != inv(e3)
| e3 = inv(e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f748,plain,
( spl0_57
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f171,f706,f518]) ).
fof(f171,plain,
( e0 != inv(e1)
| e1 = inv(e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f746,plain,
( ~ spl0_19
| ~ spl0_75
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f152,f566,f600,f350]) ).
fof(f152,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f745,plain,
( spl0_103
| spl0_104
| spl0_105
| spl0_106 ),
inference(avatar_split_clause,[],[f184,f742,f738,f734,f730]) ).
fof(f184,plain,
( e1 = op(e3,e1)
| e0 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f727,plain,
( ~ spl0_41
| ~ spl0_96
| ~ spl0_16
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f74,f724,f337,f692,f446]) ).
fof(f74,plain,
( e2 != op(e2,e2)
| op(e0,e0) != e2
| e2 != op(e3,e3)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e2
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| e2 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e3 != op(e3,e3)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| op(e0,e0) != e1
| e1 != op(e1,e1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( ( e1 = op(e3,e3)
& op(e0,e0) = e1
& e1 = op(e2,e2)
& e1 = op(e1,e1) )
| ( e0 = op(e3,e3)
& e0 = op(e0,e0)
& e0 = op(e1,e1)
& e0 = op(e2,e2) )
| ( e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e1,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f722,plain,
( spl0_41
| spl0_53
| spl0_23
| spl0_81 ),
inference(avatar_split_clause,[],[f182,f626,f367,f500,f446]) ).
fof(f182,plain,
( e1 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f721,plain,
( spl0_26
| spl0_16
| spl0_45
| spl0_52 ),
inference(avatar_split_clause,[],[f190,f496,f464,f337,f380]) ).
fof(f190,plain,
( e0 = op(e0,e0)
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f719,plain,
( spl0_101
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f167,f710,f716]) ).
fof(f167,plain,
( e3 != inv(e1)
| e1 = inv(e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f714,plain,
( spl0_55
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f162,f428,f510]) ).
fof(f162,plain,
( e0 != inv(e2)
| e2 = inv(e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f713,plain,
( spl0_98
| spl0_99
| spl0_100
| spl0_58 ),
inference(avatar_split_clause,[],[f133,f523,f710,f706,f702]) ).
fof(f133,plain,
( e2 = inv(e1)
| e3 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f695,plain,
( spl0_46
| spl0_54
| spl0_43
| spl0_96 ),
inference(avatar_split_clause,[],[f178,f692,f455,f504,f468]) ).
fof(f178,plain,
( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f685,plain,
( spl0_91
| spl0_92
| spl0_93
| spl0_94 ),
inference(avatar_split_clause,[],[f187,f682,f678,f674,f670]) ).
fof(f187,plain,
( e0 = op(e2,e0)
| e3 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f668,plain,
( spl0_87
| spl0_88
| spl0_89
| spl0_90 ),
inference(avatar_split_clause,[],[f183,f665,f661,f657,f653]) ).
fof(f183,plain,
( e2 = op(e2,e3)
| e1 = op(e2,e3)
| e3 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f651,plain,
( ~ spl0_86
| ~ spl0_41
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f76,f363,f446,f648]) ).
fof(f76,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f646,plain,
( spl0_82
| spl0_83
| spl0_84
| spl0_85 ),
inference(avatar_split_clause,[],[f189,f643,f639,f635,f631]) ).
fof(f189,plain,
( e0 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f629,plain,
( ~ spl0_26
| ~ spl0_81
| ~ spl0_68
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f72,f455,f566,f626,f380]) ).
fof(f72,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f624,plain,
( spl0_77
| spl0_78
| spl0_79
| spl0_80 ),
inference(avatar_split_clause,[],[f186,f621,f617,f613,f609]) ).
fof(f186,plain,
( e3 = op(e0,e3)
| e0 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f607,plain,
( ~ spl0_75
| ~ spl0_76
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f71,f398,f604,f600]) ).
fof(f71,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f598,plain,
( spl0_71
| spl0_72
| spl0_73
| spl0_74 ),
inference(avatar_split_clause,[],[f181,f595,f591,f587,f583]) ).
fof(f181,plain,
( e3 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f581,plain,
( ~ spl0_55
| spl0_37 ),
inference(avatar_split_clause,[],[f163,f428,f510]) ).
fof(f163,plain,
( e0 = inv(e2)
| e2 != inv(e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f571,plain,
( spl0_28
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f173,f385,f389]) ).
fof(f173,plain,
( e3 != inv(e0)
| e0 = inv(e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f570,plain,
( ~ spl0_21
| ~ spl0_40
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f201,f500,f442,f359]) ).
fof(f201,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f543,plain,
( spl0_59
| spl0_60
| spl0_61
| spl0_62 ),
inference(avatar_split_clause,[],[f62,f540,f536,f532,f528]) ).
fof(f62,plain,
( e1 = unit
| e0 = unit
| e2 = unit
| e3 = unit ),
inference(cnf_transformation,[],[f3]) ).
fof(f526,plain,
( ~ spl0_36
| spl0_58 ),
inference(avatar_split_clause,[],[f168,f523,f424]) ).
fof(f168,plain,
( e2 = inv(e1)
| e1 != inv(e2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f521,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_27 ),
inference(avatar_split_clause,[],[f129,f385,f518,f514,f510]) ).
fof(f129,plain,
( e3 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e2 = inv(e0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f507,plain,
( ~ spl0_18
| ~ spl0_52
| ~ spl0_53
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f75,f504,f500,f496,f346]) ).
fof(f75,plain,
( e0 != op(e3,e3)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f493,plain,
( ~ spl0_23
| ~ spl0_39
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f149,f490,f438,f367]) ).
fof(f149,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f488,plain,
( spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f177,f485,f481,f477,f473]) ).
fof(f177,plain,
( e0 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f471,plain,
( ~ spl0_45
| ~ spl0_30
| ~ spl0_23
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f73,f468,f367,f398,f464]) ).
fof(f73,plain,
( e3 != op(e3,e3)
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f38]) ).
fof(f449,plain,
( ~ spl0_39
| ~ spl0_40
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f142,f446,f442,f438]) ).
fof(f142,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f436,plain,
( ~ spl0_38
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f151,f380,f333,f433]) ).
fof(f151,plain,
( op(e0,e0) != e1
| e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e3 = op(e0,op(e0,e0))
& e2 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f431,plain,
( spl0_35
| spl0_36
| spl0_37
| spl0_13 ),
inference(avatar_split_clause,[],[f128,f324,f428,f424,f420]) ).
fof(f128,plain,
( e3 = inv(e2)
| e0 = inv(e2)
| e1 = inv(e2)
| e2 = inv(e2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f418,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(avatar_split_clause,[],[f185,f415,f411,f407,f403]) ).
fof(f185,plain,
( e2 = op(e3,e2)
| e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f401,plain,
( ~ spl0_29
| ~ spl0_30
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f125,f354,f398,f394]) ).
fof(f125,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f392,plain,
( spl0_27
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f170,f389,f385]) ).
fof(f170,plain,
( e0 != inv(e3)
| e3 = inv(e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f383,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f199,f380,f376,f372]) ).
fof(f199,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f331,plain,
( spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f165,f328,f324]) ).
fof(f165,plain,
( e2 != inv(e3)
| e3 = inv(e2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f322,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f192,f319,f315,f311,f307]) ).
fof(f192,plain,
( e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f305,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f188,f302,f298,f294,f290]) ).
fof(f188,plain,
( e0 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f288,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f179,f285,f281,f277,f273]) ).
fof(f179,plain,
( e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG024+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 14:47:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.49 % (11267)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (11266)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (11278)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (11283)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (11265)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (11264)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (11264)Instruction limit reached!
% 0.20/0.50 % (11264)------------------------------
% 0.20/0.50 % (11264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (11264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (11264)Termination reason: Unknown
% 0.20/0.50 % (11264)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (11264)Memory used [KB]: 5628
% 0.20/0.50 % (11264)Time elapsed: 0.004 s
% 0.20/0.50 % (11264)Instructions burned: 7 (million)
% 0.20/0.50 % (11264)------------------------------
% 0.20/0.50 % (11264)------------------------------
% 0.20/0.50 % (11259)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)
% 0.20/0.50 % (11263)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)
% 0.20/0.50 % (11271)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (11260)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (11262)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (11270)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (11275)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (11257)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (11265)Instruction limit reached!
% 0.20/0.52 % (11265)------------------------------
% 0.20/0.52 % (11265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (11265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (11265)Termination reason: Unknown
% 0.20/0.52 % (11265)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (11265)Memory used [KB]: 1023
% 0.20/0.52 % (11265)Time elapsed: 0.004 s
% 0.20/0.52 % (11265)Instructions burned: 4 (million)
% 0.20/0.52 % (11265)------------------------------
% 0.20/0.52 % (11265)------------------------------
% 0.20/0.52 % (11279)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (11258)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)
% 0.20/0.52 % (11286)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (11285)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (11282)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (11274)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (11276)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (11261)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11280)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)
% 0.20/0.53 % (11277)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)
% 0.20/0.53 % (11273)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (11284)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (11272)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (11281)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (11269)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (11268)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)
% 0.20/0.55 TRYING [4]
% 0.20/0.57 % (11266)Instruction limit reached!
% 0.20/0.57 % (11266)------------------------------
% 0.20/0.57 % (11266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (11267)Instruction limit reached!
% 0.20/0.57 % (11267)------------------------------
% 0.20/0.57 % (11267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 TRYING [4]
% 0.20/0.57 TRYING [4]
% 0.20/0.58 % (11259)Instruction limit reached!
% 0.20/0.58 % (11259)------------------------------
% 0.20/0.58 % (11259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (11267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (11267)Termination reason: Unknown
% 0.20/0.58 % (11267)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (11267)Memory used [KB]: 6524
% 0.20/0.58 % (11267)Time elapsed: 0.028 s
% 0.20/0.58 % (11267)Instructions burned: 51 (million)
% 0.20/0.58 % (11267)------------------------------
% 0.20/0.58 % (11267)------------------------------
% 0.20/0.58 % (11263)Instruction limit reached!
% 0.20/0.58 % (11263)------------------------------
% 0.20/0.58 % (11263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (11266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (11266)Termination reason: Unknown
% 0.20/0.58 % (11266)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (11266)Memory used [KB]: 1535
% 0.20/0.58 % (11266)Time elapsed: 0.172 s
% 0.20/0.58 % (11266)Instructions burned: 52 (million)
% 0.20/0.58 % (11266)------------------------------
% 0.20/0.58 % (11266)------------------------------
% 0.20/0.58 % (11260)Instruction limit reached!
% 0.20/0.58 % (11260)------------------------------
% 0.20/0.58 % (11260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.59 % (11259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.59 % (11259)Termination reason: Unknown
% 1.94/0.59 % (11259)Termination phase: Saturation
% 1.94/0.59
% 1.94/0.59 % (11274)Instruction limit reached!
% 1.94/0.59 % (11274)------------------------------
% 1.94/0.59 % (11274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.59 % (11259)Memory used [KB]: 1279
% 1.94/0.59 % (11259)Time elapsed: 0.182 s
% 1.94/0.59 % (11259)Instructions burned: 38 (million)
% 1.94/0.59 % (11259)------------------------------
% 1.94/0.59 % (11259)------------------------------
% 1.94/0.59 % (11263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.59 % (11263)Termination reason: Unknown
% 1.94/0.59 % (11263)Termination phase: Finite model building constraint generation
% 1.94/0.59
% 1.94/0.59 % (11263)Memory used [KB]: 8571
% 1.94/0.59 % (11263)Time elapsed: 0.185 s
% 1.94/0.59 % (11263)Instructions burned: 53 (million)
% 1.94/0.59 % (11263)------------------------------
% 1.94/0.59 % (11263)------------------------------
% 1.94/0.59 % (11262)Instruction limit reached!
% 1.94/0.59 % (11262)------------------------------
% 1.94/0.59 % (11262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (11260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (11260)Termination reason: Unknown
% 1.94/0.60 % (11260)Termination phase: Saturation
% 1.94/0.60
% 1.94/0.60 % (11260)Memory used [KB]: 6524
% 1.94/0.60 % (11260)Time elapsed: 0.200 s
% 1.94/0.60 % (11260)Instructions burned: 53 (million)
% 1.94/0.60 % (11260)------------------------------
% 1.94/0.60 % (11260)------------------------------
% 1.94/0.60 % (11258)Instruction limit reached!
% 1.94/0.60 % (11258)------------------------------
% 1.94/0.60 % (11258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (11274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (11274)Termination reason: Unknown
% 1.94/0.60 % (11274)Termination phase: Finite model building constraint generation
% 1.94/0.60
% 1.94/0.60 % (11274)Memory used [KB]: 9338
% 1.94/0.60 % (11274)Time elapsed: 0.195 s
% 1.94/0.60 % (11274)Instructions burned: 59 (million)
% 1.94/0.60 % (11274)------------------------------
% 1.94/0.60 % (11274)------------------------------
% 2.06/0.61 % (11258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.61 % (11258)Termination reason: Unknown
% 2.06/0.61 % (11258)Termination phase: Saturation
% 2.06/0.61
% 2.06/0.61 % (11258)Memory used [KB]: 6396
% 2.06/0.61 % (11258)Time elapsed: 0.028 s
% 2.06/0.61 % (11258)Instructions burned: 51 (million)
% 2.06/0.61 % (11258)------------------------------
% 2.06/0.61 % (11258)------------------------------
% 2.06/0.61 % (11261)Instruction limit reached!
% 2.06/0.61 % (11261)------------------------------
% 2.06/0.61 % (11261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.61 % (11262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.61 % (11262)Termination reason: Unknown
% 2.06/0.61 % (11262)Termination phase: Saturation
% 2.06/0.61
% 2.06/0.61 % (11262)Memory used [KB]: 6140
% 2.06/0.61 % (11262)Time elapsed: 0.181 s
% 2.06/0.61 % (11262)Instructions burned: 48 (million)
% 2.06/0.61 % (11262)------------------------------
% 2.06/0.61 % (11262)------------------------------
% 2.06/0.62 % (11283)Instruction limit reached!
% 2.06/0.62 % (11283)------------------------------
% 2.06/0.62 % (11283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (11283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (11283)Termination reason: Unknown
% 2.06/0.62 % (11283)Termination phase: Saturation
% 2.06/0.62 % (11271)Instruction limit reached!
% 2.06/0.62 % (11271)------------------------------
% 2.06/0.62 % (11271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (11271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (11271)Termination reason: Unknown
% 2.06/0.62 % (11271)Termination phase: Saturation
% 2.06/0.62
% 2.06/0.62 % (11271)Memory used [KB]: 6652
% 2.06/0.62 % (11271)Time elapsed: 0.036 s
% 2.06/0.62 % (11271)Instructions burned: 68 (million)
% 2.06/0.62 % (11271)------------------------------
% 2.06/0.62 % (11271)------------------------------
% 2.06/0.62
% 2.06/0.62 % (11283)Memory used [KB]: 6652
% 2.06/0.62 % (11283)Time elapsed: 0.041 s
% 2.06/0.62 % (11283)Instructions burned: 68 (million)
% 2.06/0.62 % (11283)------------------------------
% 2.06/0.62 % (11283)------------------------------
% 2.06/0.62 % (11261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (11261)Termination reason: Unknown
% 2.06/0.62 % (11261)Termination phase: Saturation
% 2.06/0.62
% 2.06/0.62 % (11261)Memory used [KB]: 6524
% 2.06/0.62 % (11261)Time elapsed: 0.027 s
% 2.06/0.62 % (11261)Instructions burned: 53 (million)
% 2.06/0.62 % (11261)------------------------------
% 2.06/0.62 % (11261)------------------------------
% 2.21/0.64 % (11287)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.21/0.66 % (11270)Instruction limit reached!
% 2.21/0.66 % (11270)------------------------------
% 2.21/0.66 % (11270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (11270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (11270)Termination reason: Unknown
% 2.21/0.66 % (11270)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (11270)Memory used [KB]: 6524
% 2.21/0.66 % (11270)Time elapsed: 0.256 s
% 2.21/0.66 % (11270)Instructions burned: 99 (million)
% 2.21/0.66 % (11270)------------------------------
% 2.21/0.66 % (11270)------------------------------
% 2.21/0.67 % (11288)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.21/0.67 % (11272)Instruction limit reached!
% 2.21/0.67 % (11272)------------------------------
% 2.21/0.67 % (11272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.67 % (11272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.67 % (11272)Termination reason: Unknown
% 2.21/0.67 % (11272)Termination phase: Saturation
% 2.21/0.67
% 2.21/0.67 % (11272)Memory used [KB]: 1663
% 2.21/0.67 % (11272)Time elapsed: 0.263 s
% 2.21/0.67 % (11272)Instructions burned: 75 (million)
% 2.21/0.67 % (11272)------------------------------
% 2.21/0.67 % (11272)------------------------------
% 2.21/0.68 % (11275)Instruction limit reached!
% 2.21/0.68 % (11275)------------------------------
% 2.21/0.68 % (11275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68 % (11275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68 % (11275)Termination reason: Unknown
% 2.21/0.68 % (11275)Termination phase: Saturation
% 2.21/0.68
% 2.21/0.68 % (11275)Memory used [KB]: 7036
% 2.21/0.68 % (11275)Time elapsed: 0.051 s
% 2.21/0.68 % (11275)Instructions burned: 101 (million)
% 2.21/0.68 % (11275)------------------------------
% 2.21/0.68 % (11275)------------------------------
% 2.21/0.68 % (11282)First to succeed.
% 2.21/0.68 % (11273)Instruction limit reached!
% 2.21/0.68 % (11273)------------------------------
% 2.21/0.68 % (11273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68 % (11273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68 % (11273)Termination reason: Unknown
% 2.21/0.68 % (11273)Termination phase: Saturation
% 2.21/0.68
% 2.21/0.68 % (11273)Memory used [KB]: 6652
% 2.21/0.68 % (11273)Time elapsed: 0.300 s
% 2.21/0.68 % (11273)Instructions burned: 100 (million)
% 2.21/0.68 % (11273)------------------------------
% 2.21/0.68 % (11273)------------------------------
% 2.21/0.69 TRYING [5]
% 2.21/0.69 % (11276)Instruction limit reached!
% 2.21/0.69 % (11276)------------------------------
% 2.21/0.69 % (11276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.69 % (11276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.69 % (11276)Termination reason: Unknown
% 2.21/0.69 % (11276)Termination phase: Saturation
% 2.21/0.69
% 2.21/0.69 % (11276)Memory used [KB]: 1535
% 2.21/0.69 % (11276)Time elapsed: 0.307 s
% 2.21/0.69 % (11276)Instructions burned: 101 (million)
% 2.21/0.69 % (11276)------------------------------
% 2.21/0.69 % (11276)------------------------------
% 2.21/0.70 % (11268)Instruction limit reached!
% 2.21/0.70 % (11268)------------------------------
% 2.21/0.70 % (11268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.70 % (11268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.70 % (11268)Termination reason: Unknown
% 2.21/0.70 % (11268)Termination phase: Saturation
% 2.21/0.70
% 2.21/0.70 % (11268)Memory used [KB]: 7164
% 2.21/0.70 % (11268)Time elapsed: 0.305 s
% 2.21/0.70 % (11268)Instructions burned: 100 (million)
% 2.21/0.70 % (11268)------------------------------
% 2.21/0.70 % (11268)------------------------------
% 2.21/0.71 % (11282)Refutation found. Thanks to Tanya!
% 2.21/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.21/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.71 % (11282)------------------------------
% 2.21/0.71 % (11282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.71 % (11282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.71 % (11282)Termination reason: Refutation
% 2.21/0.71
% 2.21/0.71 % (11282)Memory used [KB]: 6780
% 2.21/0.71 % (11282)Time elapsed: 0.307 s
% 2.21/0.71 % (11282)Instructions burned: 93 (million)
% 2.21/0.71 % (11282)------------------------------
% 2.21/0.71 % (11282)------------------------------
% 2.21/0.71 % (11256)Success in time 0.381 s
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