TSTP Solution File: SYN465+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN465+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Tue Apr 30 18:03:39 EDT 2024
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 123
% Syntax : Number of formulae : 690 ( 1 unt; 0 def)
% Number of atoms : 6481 ( 0 equ)
% Maximal formula atoms : 668 ( 9 avg)
% Number of connectives : 8840 (3049 ~;4091 |;1170 &)
% ( 122 <=>; 408 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 160 ( 159 usr; 156 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 809 ( 809 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3719,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f278,f287,f292,f309,f322,f330,f346,f355,f363,f364,f379,f383,f384,f388,f392,f400,f401,f406,f427,f434,f435,f439,f451,f459,f464,f465,f469,f470,f472,f473,f477,f478,f482,f483,f484,f490,f491,f497,f498,f499,f504,f512,f527,f532,f537,f542,f548,f553,f558,f580,f585,f590,f612,f617,f628,f633,f638,f644,f649,f654,f681,f686,f692,f697,f702,f708,f713,f718,f724,f729,f734,f772,f777,f782,f788,f793,f798,f804,f809,f814,f831,f836,f841,f846,f852,f857,f862,f884,f889,f894,f900,f905,f910,f916,f921,f926,f932,f937,f942,f948,f953,f958,f964,f969,f974,f980,f985,f990,f991,f1007,f1045,f1124,f1150,f1165,f1191,f1241,f1282,f1324,f1343,f1366,f1389,f1445,f1474,f1477,f1501,f1503,f1549,f1553,f1649,f1710,f1949,f2116,f2133,f2214,f2252,f2283,f2293,f2355,f2486,f2506,f2524,f2554,f2588,f2591,f2626,f2629,f2708,f2730,f2782,f2784,f2785,f2800,f2848,f3008,f3034,f3077,f3134,f3139,f3143,f3168,f3184,f3250,f3289,f3324,f3355,f3565,f3567,f3617,f3663,f3710,f3717,f3718]) ).
fof(f3718,plain,
( ~ spl0_182
| spl0_141
| ~ spl0_40
| spl0_140 ),
inference(avatar_split_clause,[],[f3158,f929,f408,f934,f3714]) ).
fof(f3714,plain,
( spl0_182
<=> c0_1(a10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f934,plain,
( spl0_141
<=> c1_1(a10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f408,plain,
( spl0_40
<=> ! [X32] :
( ~ c0_1(X32)
| c1_1(X32)
| c3_1(X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f929,plain,
( spl0_140
<=> c3_1(a10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f3158,plain,
( c1_1(a10)
| ~ c0_1(a10)
| ~ spl0_40
| spl0_140 ),
inference(resolution,[],[f409,f931]) ).
fof(f931,plain,
( ~ c3_1(a10)
| spl0_140 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f409,plain,
( ! [X32] :
( c3_1(X32)
| c1_1(X32)
| ~ c0_1(X32) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f3717,plain,
( spl0_141
| spl0_182
| ~ spl0_61
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f3575,f939,f510,f3714,f934]) ).
fof(f510,plain,
( spl0_61
<=> ! [X91] :
( ~ c2_1(X91)
| c0_1(X91)
| c1_1(X91) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f939,plain,
( spl0_142
<=> c2_1(a10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f3575,plain,
( c0_1(a10)
| c1_1(a10)
| ~ spl0_61
| ~ spl0_142 ),
inference(resolution,[],[f511,f941]) ).
fof(f941,plain,
( c2_1(a10)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f511,plain,
( ! [X91] :
( ~ c2_1(X91)
| c0_1(X91)
| c1_1(X91) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f3710,plain,
( ~ spl0_21
| ~ spl0_58
| ~ spl0_64
| spl0_122
| ~ spl0_123
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f3709]) ).
fof(f3709,plain,
( $false
| ~ spl0_21
| ~ spl0_58
| ~ spl0_64
| spl0_122
| ~ spl0_123
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f3700,f3408]) ).
fof(f3408,plain,
( ~ c0_1(a24)
| ~ spl0_21
| ~ spl0_123
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f3397,f840]) ).
fof(f840,plain,
( c3_1(a24)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f838,plain,
( spl0_123
<=> c3_1(a24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f3397,plain,
( ~ c0_1(a24)
| ~ c3_1(a24)
| ~ spl0_21
| ~ spl0_124 ),
inference(resolution,[],[f325,f845]) ).
fof(f845,plain,
( c1_1(a24)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f843,plain,
( spl0_124
<=> c1_1(a24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f325,plain,
( ! [X4] :
( ~ c1_1(X4)
| ~ c0_1(X4)
| ~ c3_1(X4) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl0_21
<=> ! [X4] :
( ~ c3_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3700,plain,
( c0_1(a24)
| ~ spl0_58
| ~ spl0_64
| spl0_122 ),
inference(resolution,[],[f3666,f835]) ).
fof(f835,plain,
( ~ c2_1(a24)
| spl0_122 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f833,plain,
( spl0_122
<=> c2_1(a24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f3666,plain,
( ! [X96] :
( c2_1(X96)
| c0_1(X96) )
| ~ spl0_58
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f524,f494]) ).
fof(f494,plain,
( ! [X75] :
( c2_1(X75)
| c0_1(X75)
| ~ c1_1(X75) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f493,plain,
( spl0_58
<=> ! [X75] :
( ~ c1_1(X75)
| c0_1(X75)
| c2_1(X75) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f524,plain,
( ! [X96] :
( c2_1(X96)
| c0_1(X96)
| c1_1(X96) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl0_64
<=> ! [X96] :
( c2_1(X96)
| c0_1(X96)
| c1_1(X96) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f3663,plain,
( ~ spl0_33
| ~ spl0_58
| spl0_122
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f3662]) ).
fof(f3662,plain,
( $false
| ~ spl0_33
| ~ spl0_58
| spl0_122
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f3653,f845]) ).
fof(f3653,plain,
( ~ c1_1(a24)
| ~ spl0_33
| ~ spl0_58
| spl0_122 ),
inference(resolution,[],[f3619,f835]) ).
fof(f3619,plain,
( ! [X16] :
( c2_1(X16)
| ~ c1_1(X16) )
| ~ spl0_33
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f378,f494]) ).
fof(f378,plain,
( ! [X16] :
( ~ c0_1(X16)
| c2_1(X16)
| ~ c1_1(X16) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl0_33
<=> ! [X16] :
( ~ c1_1(X16)
| c2_1(X16)
| ~ c0_1(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f3617,plain,
( ~ spl0_148
| ~ spl0_58
| spl0_146
| spl0_173 ),
inference(avatar_split_clause,[],[f3602,f2534,f961,f493,f971]) ).
fof(f971,plain,
( spl0_148
<=> c1_1(a7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f961,plain,
( spl0_146
<=> c0_1(a7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f2534,plain,
( spl0_173
<=> c2_1(a7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f3602,plain,
( ~ c1_1(a7)
| ~ spl0_58
| spl0_146
| spl0_173 ),
inference(subsumption_resolution,[],[f3601,f963]) ).
fof(f963,plain,
( ~ c0_1(a7)
| spl0_146 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f3601,plain,
( c0_1(a7)
| ~ c1_1(a7)
| ~ spl0_58
| spl0_173 ),
inference(resolution,[],[f2535,f494]) ).
fof(f2535,plain,
( ~ c2_1(a7)
| spl0_173 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f3567,plain,
( ~ spl0_147
| ~ spl0_15
| ~ spl0_148
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f3566,f2534,f971,f298,f966]) ).
fof(f966,plain,
( spl0_147
<=> c3_1(a7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f298,plain,
( spl0_15
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f3566,plain,
( ~ c3_1(a7)
| ~ spl0_15
| ~ spl0_148
| ~ spl0_173 ),
inference(subsumption_resolution,[],[f3430,f973]) ).
fof(f973,plain,
( c1_1(a7)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f3430,plain,
( ~ c1_1(a7)
| ~ c3_1(a7)
| ~ spl0_15
| ~ spl0_173 ),
inference(resolution,[],[f2536,f299]) ).
fof(f299,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f2536,plain,
( c2_1(a7)
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f3565,plain,
( ~ spl0_35
| ~ spl0_59
| spl0_113
| spl0_114 ),
inference(avatar_contradiction_clause,[],[f3564]) ).
fof(f3564,plain,
( $false
| ~ spl0_35
| ~ spl0_59
| spl0_113
| spl0_114 ),
inference(subsumption_resolution,[],[f3553,f792]) ).
fof(f792,plain,
( ~ c2_1(a29)
| spl0_114 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl0_114
<=> c2_1(a29) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f3553,plain,
( c2_1(a29)
| ~ spl0_35
| ~ spl0_59
| spl0_113 ),
inference(resolution,[],[f3538,f787]) ).
fof(f787,plain,
( ~ c3_1(a29)
| spl0_113 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f785,plain,
( spl0_113
<=> c3_1(a29) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f3538,plain,
( ! [X84] :
( c3_1(X84)
| c2_1(X84) )
| ~ spl0_35
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f502,f387]) ).
fof(f387,plain,
( ! [X20] :
( ~ c0_1(X20)
| c2_1(X20)
| c3_1(X20) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl0_35
<=> ! [X20] :
( ~ c0_1(X20)
| c2_1(X20)
| c3_1(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f502,plain,
( ! [X84] :
( c3_1(X84)
| c0_1(X84)
| c2_1(X84) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl0_59
<=> ! [X84] :
( c3_1(X84)
| c0_1(X84)
| c2_1(X84) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f3355,plain,
( ~ spl0_28
| ~ spl0_65
| ~ spl0_66
| spl0_175 ),
inference(avatar_contradiction_clause,[],[f3354]) ).
fof(f3354,plain,
( $false
| ~ spl0_28
| ~ spl0_65
| ~ spl0_66
| spl0_175 ),
inference(subsumption_resolution,[],[f3353,f531]) ).
fof(f531,plain,
( c3_1(a76)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl0_65
<=> c3_1(a76) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f3353,plain,
( ~ c3_1(a76)
| ~ spl0_28
| ~ spl0_66
| spl0_175 ),
inference(subsumption_resolution,[],[f3347,f3084]) ).
fof(f3084,plain,
( ~ c2_1(a76)
| spl0_175 ),
inference(avatar_component_clause,[],[f3083]) ).
fof(f3083,plain,
( spl0_175
<=> c2_1(a76) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f3347,plain,
( c2_1(a76)
| ~ c3_1(a76)
| ~ spl0_28
| ~ spl0_66 ),
inference(resolution,[],[f358,f536]) ).
fof(f536,plain,
( c1_1(a76)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f534,plain,
( spl0_66
<=> c1_1(a76) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f358,plain,
( ! [X12] :
( ~ c1_1(X12)
| c2_1(X12)
| ~ c3_1(X12) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl0_28
<=> ! [X12] :
( ~ c3_1(X12)
| c2_1(X12)
| ~ c1_1(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f3324,plain,
( ~ spl0_175
| ~ spl0_18
| ~ spl0_65
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f3323,f539,f529,f311,f3083]) ).
fof(f311,plain,
( spl0_18
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f539,plain,
( spl0_67
<=> c0_1(a76) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f3323,plain,
( ~ c2_1(a76)
| ~ spl0_18
| ~ spl0_65
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f3317,f531]) ).
fof(f3317,plain,
( ~ c3_1(a76)
| ~ c2_1(a76)
| ~ spl0_18
| ~ spl0_67 ),
inference(resolution,[],[f312,f541]) ).
fof(f541,plain,
( c0_1(a76)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f312,plain,
( ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f3289,plain,
( ~ spl0_48
| ~ spl0_54
| spl0_134
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f3288]) ).
fof(f3288,plain,
( $false
| ~ spl0_48
| ~ spl0_54
| spl0_134
| ~ spl0_135 ),
inference(subsumption_resolution,[],[f3275,f899]) ).
fof(f899,plain,
( ~ c0_1(a13)
| spl0_134 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f897,plain,
( spl0_134
<=> c0_1(a13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f3275,plain,
( c0_1(a13)
| ~ spl0_48
| ~ spl0_54
| ~ spl0_135 ),
inference(resolution,[],[f3253,f904]) ).
fof(f904,plain,
( c2_1(a13)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f902,plain,
( spl0_135
<=> c2_1(a13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f3253,plain,
( ! [X44] :
( ~ c2_1(X44)
| c0_1(X44) )
| ~ spl0_48
| ~ spl0_54 ),
inference(subsumption_resolution,[],[f442,f468]) ).
fof(f468,plain,
( ! [X52] :
( c3_1(X52)
| c0_1(X52)
| ~ c2_1(X52) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl0_54
<=> ! [X52] :
( ~ c2_1(X52)
| c0_1(X52)
| c3_1(X52) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f442,plain,
( ! [X44] :
( ~ c3_1(X44)
| c0_1(X44)
| ~ c2_1(X44) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl0_48
<=> ! [X44] :
( ~ c3_1(X44)
| c0_1(X44)
| ~ c2_1(X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3250,plain,
( ~ spl0_64
| spl0_143
| spl0_144
| spl0_145 ),
inference(avatar_contradiction_clause,[],[f3249]) ).
fof(f3249,plain,
( $false
| ~ spl0_64
| spl0_143
| spl0_144
| spl0_145 ),
inference(subsumption_resolution,[],[f3248,f952]) ).
fof(f952,plain,
( ~ c1_1(a9)
| spl0_144 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl0_144
<=> c1_1(a9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f3248,plain,
( c1_1(a9)
| ~ spl0_64
| spl0_143
| spl0_145 ),
inference(subsumption_resolution,[],[f3238,f957]) ).
fof(f957,plain,
( ~ c0_1(a9)
| spl0_145 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f955,plain,
( spl0_145
<=> c0_1(a9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3238,plain,
( c0_1(a9)
| c1_1(a9)
| ~ spl0_64
| spl0_143 ),
inference(resolution,[],[f524,f947]) ).
fof(f947,plain,
( ~ c2_1(a9)
| spl0_143 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f945,plain,
( spl0_143
<=> c2_1(a9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f3184,plain,
( spl0_64
| ~ spl0_39
| ~ spl0_45
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f3173,f480,f429,f403,f523]) ).
fof(f403,plain,
( spl0_39
<=> ! [X28] :
( ~ c2_1(X28)
| c1_1(X28)
| c3_1(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f429,plain,
( spl0_45
<=> ! [X38] :
( c3_1(X38)
| c1_1(X38)
| c2_1(X38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f480,plain,
( spl0_56
<=> ! [X63] :
( ~ c3_1(X63)
| c0_1(X63)
| c2_1(X63) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f3173,plain,
( ! [X0] :
( c1_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_39
| ~ spl0_45
| ~ spl0_56 ),
inference(resolution,[],[f3171,f481]) ).
fof(f481,plain,
( ! [X63] :
( ~ c3_1(X63)
| c0_1(X63)
| c2_1(X63) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f3171,plain,
( ! [X38] :
( c3_1(X38)
| c1_1(X38) )
| ~ spl0_39
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f430,f404]) ).
fof(f404,plain,
( ! [X28] :
( c3_1(X28)
| c1_1(X28)
| ~ c2_1(X28) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f430,plain,
( ! [X38] :
( c3_1(X38)
| c1_1(X38)
| c2_1(X38) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f3168,plain,
( spl0_164
| ~ spl0_40
| spl0_125
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f3167,f859,f849,f408,f1351]) ).
fof(f1351,plain,
( spl0_164
<=> c1_1(a21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f849,plain,
( spl0_125
<=> c3_1(a21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f859,plain,
( spl0_127
<=> c0_1(a21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f3167,plain,
( c1_1(a21)
| ~ spl0_40
| spl0_125
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f3159,f861]) ).
fof(f861,plain,
( c0_1(a21)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f3159,plain,
( c1_1(a21)
| ~ c0_1(a21)
| ~ spl0_40
| spl0_125 ),
inference(resolution,[],[f409,f851]) ).
fof(f851,plain,
( ~ c3_1(a21)
| spl0_125 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f3143,plain,
( spl0_171
| ~ spl0_47
| ~ spl0_69
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f3142,f555,f550,f437,f2352]) ).
fof(f2352,plain,
( spl0_171
<=> c1_1(a20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f437,plain,
( spl0_47
<=> ! [X42] :
( ~ c2_1(X42)
| c1_1(X42)
| ~ c0_1(X42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f550,plain,
( spl0_69
<=> c2_1(a20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f555,plain,
( spl0_70
<=> c0_1(a20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f3142,plain,
( c1_1(a20)
| ~ spl0_47
| ~ spl0_69
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f3047,f552]) ).
fof(f552,plain,
( c2_1(a20)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f3047,plain,
( c1_1(a20)
| ~ c2_1(a20)
| ~ spl0_47
| ~ spl0_70 ),
inference(resolution,[],[f438,f557]) ).
fof(f557,plain,
( c0_1(a20)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f438,plain,
( ! [X42] :
( ~ c0_1(X42)
| c1_1(X42)
| ~ c2_1(X42) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f3139,plain,
( ~ spl0_21
| ~ spl0_68
| ~ spl0_70
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f3138]) ).
fof(f3138,plain,
( $false
| ~ spl0_21
| ~ spl0_68
| ~ spl0_70
| ~ spl0_171 ),
inference(subsumption_resolution,[],[f3137,f547]) ).
fof(f547,plain,
( c3_1(a20)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f545,plain,
( spl0_68
<=> c3_1(a20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f3137,plain,
( ~ c3_1(a20)
| ~ spl0_21
| ~ spl0_70
| ~ spl0_171 ),
inference(subsumption_resolution,[],[f3120,f557]) ).
fof(f3120,plain,
( ~ c0_1(a20)
| ~ c3_1(a20)
| ~ spl0_21
| ~ spl0_171 ),
inference(resolution,[],[f325,f2353]) ).
fof(f2353,plain,
( c1_1(a20)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f2352]) ).
fof(f3134,plain,
( ~ spl0_161
| ~ spl0_21
| ~ spl0_75
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f3133,f587,f582,f324,f1048]) ).
fof(f1048,plain,
( spl0_161
<=> c3_1(a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f582,plain,
( spl0_75
<=> c1_1(a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f587,plain,
( spl0_76
<=> c0_1(a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f3133,plain,
( ~ c3_1(a2)
| ~ spl0_21
| ~ spl0_75
| ~ spl0_76 ),
inference(subsumption_resolution,[],[f3118,f589]) ).
fof(f589,plain,
( c0_1(a2)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f3118,plain,
( ~ c0_1(a2)
| ~ c3_1(a2)
| ~ spl0_21
| ~ spl0_75 ),
inference(resolution,[],[f325,f584]) ).
fof(f584,plain,
( c1_1(a2)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f3077,plain,
( ~ spl0_47
| ~ spl0_61
| spl0_110
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f3076]) ).
fof(f3076,plain,
( $false
| ~ spl0_47
| ~ spl0_61
| spl0_110
| ~ spl0_112 ),
inference(subsumption_resolution,[],[f3061,f771]) ).
fof(f771,plain,
( ~ c1_1(a30)
| spl0_110 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl0_110
<=> c1_1(a30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f3061,plain,
( c1_1(a30)
| ~ spl0_47
| ~ spl0_61
| ~ spl0_112 ),
inference(resolution,[],[f3050,f781]) ).
fof(f781,plain,
( c2_1(a30)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f779,plain,
( spl0_112
<=> c2_1(a30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f3050,plain,
( ! [X91] :
( ~ c2_1(X91)
| c1_1(X91) )
| ~ spl0_47
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f511,f438]) ).
fof(f3034,plain,
( ~ spl0_58
| ~ spl0_64
| spl0_93
| spl0_94 ),
inference(avatar_contradiction_clause,[],[f3033]) ).
fof(f3033,plain,
( $false
| ~ spl0_58
| ~ spl0_64
| spl0_93
| spl0_94 ),
inference(subsumption_resolution,[],[f3025,f685]) ).
fof(f685,plain,
( ~ c0_1(a40)
| spl0_94 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl0_94
<=> c0_1(a40) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f3025,plain,
( c0_1(a40)
| ~ spl0_58
| ~ spl0_64
| spl0_93 ),
inference(resolution,[],[f3013,f680]) ).
fof(f680,plain,
( ~ c2_1(a40)
| spl0_93 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl0_93
<=> c2_1(a40) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f3013,plain,
( ! [X96] :
( c2_1(X96)
| c0_1(X96) )
| ~ spl0_58
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f524,f494]) ).
fof(f3008,plain,
( ~ spl0_42
| ~ spl0_64
| spl0_132
| spl0_133 ),
inference(avatar_contradiction_clause,[],[f3007]) ).
fof(f3007,plain,
( $false
| ~ spl0_42
| ~ spl0_64
| spl0_132
| spl0_133 ),
inference(subsumption_resolution,[],[f2995,f893]) ).
fof(f893,plain,
( ~ c1_1(a15)
| spl0_133 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f891,plain,
( spl0_133
<=> c1_1(a15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f2995,plain,
( c1_1(a15)
| ~ spl0_42
| ~ spl0_64
| spl0_132 ),
inference(resolution,[],[f2989,f888]) ).
fof(f888,plain,
( ~ c2_1(a15)
| spl0_132 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f886,plain,
( spl0_132
<=> c2_1(a15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f2989,plain,
( ! [X96] :
( c2_1(X96)
| c1_1(X96) )
| ~ spl0_42
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f524,f417]) ).
fof(f417,plain,
( ! [X34] :
( ~ c0_1(X34)
| c1_1(X34)
| c2_1(X34) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl0_42
<=> ! [X34] :
( ~ c0_1(X34)
| c1_1(X34)
| c2_1(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2848,plain,
( spl0_87
| ~ spl0_56
| spl0_86
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2847,f651,f641,f480,f646]) ).
fof(f646,plain,
( spl0_87
<=> c0_1(a52) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f641,plain,
( spl0_86
<=> c2_1(a52) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f651,plain,
( spl0_88
<=> c3_1(a52) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f2847,plain,
( c0_1(a52)
| ~ spl0_56
| spl0_86
| ~ spl0_88 ),
inference(subsumption_resolution,[],[f2827,f643]) ).
fof(f643,plain,
( ~ c2_1(a52)
| spl0_86 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f2827,plain,
( c0_1(a52)
| c2_1(a52)
| ~ spl0_56
| ~ spl0_88 ),
inference(resolution,[],[f481,f653]) ).
fof(f653,plain,
( c3_1(a52)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f2800,plain,
( ~ spl0_42
| ~ spl0_47
| ~ spl0_127
| spl0_164 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2799,plain,
( $false
| ~ spl0_42
| ~ spl0_47
| ~ spl0_127
| spl0_164 ),
inference(subsumption_resolution,[],[f2793,f1352]) ).
fof(f1352,plain,
( ~ c1_1(a21)
| spl0_164 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f2793,plain,
( c1_1(a21)
| ~ spl0_42
| ~ spl0_47
| ~ spl0_127 ),
inference(resolution,[],[f2788,f861]) ).
fof(f2788,plain,
( ! [X42] :
( ~ c0_1(X42)
| c1_1(X42) )
| ~ spl0_42
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f438,f417]) ).
fof(f2785,plain,
( ~ spl0_164
| ~ spl0_46
| spl0_125
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2773,f859,f849,f432,f1351]) ).
fof(f432,plain,
( spl0_46
<=> ! [X37] :
( ~ c1_1(X37)
| c3_1(X37)
| ~ c0_1(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f2773,plain,
( ~ c1_1(a21)
| ~ spl0_46
| spl0_125
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f2756,f851]) ).
fof(f2756,plain,
( c3_1(a21)
| ~ c1_1(a21)
| ~ spl0_46
| ~ spl0_127 ),
inference(resolution,[],[f433,f861]) ).
fof(f433,plain,
( ! [X37] :
( ~ c0_1(X37)
| c3_1(X37)
| ~ c1_1(X37) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f2784,plain,
( spl0_161
| ~ spl0_46
| ~ spl0_75
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2783,f587,f582,f432,f1048]) ).
fof(f2783,plain,
( c3_1(a2)
| ~ spl0_46
| ~ spl0_75
| ~ spl0_76 ),
inference(subsumption_resolution,[],[f2759,f584]) ).
fof(f2759,plain,
( c3_1(a2)
| ~ c1_1(a2)
| ~ spl0_46
| ~ spl0_76 ),
inference(resolution,[],[f433,f589]) ).
fof(f2782,plain,
( spl0_137
| ~ spl0_46
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2781,f923,f918,f432,f913]) ).
fof(f913,plain,
( spl0_137
<=> c3_1(a12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f918,plain,
( spl0_138
<=> c1_1(a12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f923,plain,
( spl0_139
<=> c0_1(a12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f2781,plain,
( c3_1(a12)
| ~ spl0_46
| ~ spl0_138
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f2755,f920]) ).
fof(f920,plain,
( c1_1(a12)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f2755,plain,
( c3_1(a12)
| ~ c1_1(a12)
| ~ spl0_46
| ~ spl0_139 ),
inference(resolution,[],[f433,f925]) ).
fof(f925,plain,
( c0_1(a12)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f2730,plain,
( ~ spl0_161
| ~ spl0_15
| ~ spl0_74
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f2729,f582,f577,f298,f1048]) ).
fof(f577,plain,
( spl0_74
<=> c2_1(a2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2729,plain,
( ~ c3_1(a2)
| ~ spl0_15
| ~ spl0_74
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f2727,f584]) ).
fof(f2727,plain,
( ~ c1_1(a2)
| ~ c3_1(a2)
| ~ spl0_15
| ~ spl0_74 ),
inference(resolution,[],[f299,f579]) ).
fof(f579,plain,
( c2_1(a2)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f2708,plain,
( ~ spl0_28
| ~ spl0_37
| spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f2707]) ).
fof(f2707,plain,
( $false
| ~ spl0_28
| ~ spl0_37
| spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f2706,f984]) ).
fof(f984,plain,
( c3_1(a6)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f982,plain,
( spl0_150
<=> c3_1(a6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f2706,plain,
( ~ c3_1(a6)
| ~ spl0_28
| ~ spl0_37
| spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f2705,f979]) ).
fof(f979,plain,
( ~ c2_1(a6)
| spl0_149 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f977,plain,
( spl0_149
<=> c2_1(a6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f2705,plain,
( c2_1(a6)
| ~ c3_1(a6)
| ~ spl0_28
| ~ spl0_37
| ~ spl0_150
| ~ spl0_151 ),
inference(resolution,[],[f2571,f358]) ).
fof(f2571,plain,
( c1_1(a6)
| ~ spl0_37
| ~ spl0_150
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f2562,f984]) ).
fof(f2562,plain,
( c1_1(a6)
| ~ c3_1(a6)
| ~ spl0_37
| ~ spl0_151 ),
inference(resolution,[],[f395,f989]) ).
fof(f989,plain,
( c0_1(a6)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f987,plain,
( spl0_151
<=> c0_1(a6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f395,plain,
( ! [X23] :
( ~ c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl0_37
<=> ! [X23] :
( ~ c3_1(X23)
| c1_1(X23)
| ~ c0_1(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f2629,plain,
( ~ spl0_68
| spl0_171
| ~ spl0_37
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f2568,f555,f394,f2352,f545]) ).
fof(f2568,plain,
( c1_1(a20)
| ~ c3_1(a20)
| ~ spl0_37
| ~ spl0_70 ),
inference(resolution,[],[f395,f557]) ).
fof(f2626,plain,
( spl0_122
| ~ spl0_28
| ~ spl0_123
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2625,f843,f838,f357,f833]) ).
fof(f2625,plain,
( c2_1(a24)
| ~ spl0_28
| ~ spl0_123
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2608,f840]) ).
fof(f2608,plain,
( c2_1(a24)
| ~ c3_1(a24)
| ~ spl0_28
| ~ spl0_124 ),
inference(resolution,[],[f358,f845]) ).
fof(f2591,plain,
( ~ spl0_45
| spl0_125
| spl0_126
| spl0_164 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2590,plain,
( $false
| ~ spl0_45
| spl0_125
| spl0_126
| spl0_164 ),
inference(subsumption_resolution,[],[f2589,f856]) ).
fof(f856,plain,
( ~ c2_1(a21)
| spl0_126 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl0_126
<=> c2_1(a21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f2589,plain,
( c2_1(a21)
| ~ spl0_45
| spl0_125
| spl0_164 ),
inference(subsumption_resolution,[],[f2577,f1352]) ).
fof(f2577,plain,
( c1_1(a21)
| c2_1(a21)
| ~ spl0_45
| spl0_125 ),
inference(resolution,[],[f430,f851]) ).
fof(f2588,plain,
( ~ spl0_45
| spl0_131
| spl0_132
| spl0_133 ),
inference(avatar_contradiction_clause,[],[f2587]) ).
fof(f2587,plain,
( $false
| ~ spl0_45
| spl0_131
| spl0_132
| spl0_133 ),
inference(subsumption_resolution,[],[f2586,f888]) ).
fof(f2586,plain,
( c2_1(a15)
| ~ spl0_45
| spl0_131
| spl0_133 ),
inference(subsumption_resolution,[],[f2576,f893]) ).
fof(f2576,plain,
( c1_1(a15)
| c2_1(a15)
| ~ spl0_45
| spl0_131 ),
inference(resolution,[],[f430,f883]) ).
fof(f883,plain,
( ~ c3_1(a15)
| spl0_131 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl0_131
<=> c3_1(a15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f2554,plain,
( ~ spl0_18
| ~ spl0_48
| ~ spl0_111
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f2553]) ).
fof(f2553,plain,
( $false
| ~ spl0_18
| ~ spl0_48
| ~ spl0_111
| ~ spl0_112 ),
inference(subsumption_resolution,[],[f2545,f781]) ).
fof(f2545,plain,
( ~ c2_1(a30)
| ~ spl0_18
| ~ spl0_48
| ~ spl0_111 ),
inference(resolution,[],[f2529,f776]) ).
fof(f776,plain,
( c3_1(a30)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl0_111
<=> c3_1(a30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f2529,plain,
( ! [X44] :
( ~ c3_1(X44)
| ~ c2_1(X44) )
| ~ spl0_18
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f442,f312]) ).
fof(f2524,plain,
( ~ spl0_21
| ~ spl0_51
| ~ spl0_123
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2523]) ).
fof(f2523,plain,
( $false
| ~ spl0_21
| ~ spl0_51
| ~ spl0_123
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2517,f840]) ).
fof(f2517,plain,
( ~ c3_1(a24)
| ~ spl0_21
| ~ spl0_51
| ~ spl0_124 ),
inference(resolution,[],[f2484,f845]) ).
fof(f2484,plain,
( ! [X45] :
( ~ c1_1(X45)
| ~ c3_1(X45) )
| ~ spl0_21
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f454,f325]) ).
fof(f454,plain,
( ! [X45] :
( ~ c3_1(X45)
| c0_1(X45)
| ~ c1_1(X45) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl0_51
<=> ! [X45] :
( ~ c3_1(X45)
| c0_1(X45)
| ~ c1_1(X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f2506,plain,
( ~ spl0_150
| ~ spl0_21
| ~ spl0_37
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2500,f987,f394,f324,f982]) ).
fof(f2500,plain,
( ~ c3_1(a6)
| ~ spl0_21
| ~ spl0_37
| ~ spl0_151 ),
inference(resolution,[],[f989,f2448]) ).
fof(f2448,plain,
( ! [X23] :
( ~ c0_1(X23)
| ~ c3_1(X23) )
| ~ spl0_21
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f395,f325]) ).
fof(f2486,plain,
( ~ spl0_164
| spl0_126
| ~ spl0_33
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2189,f859,f377,f854,f1351]) ).
fof(f2189,plain,
( c2_1(a21)
| ~ c1_1(a21)
| ~ spl0_33
| ~ spl0_127 ),
inference(resolution,[],[f378,f861]) ).
fof(f2355,plain,
( ~ spl0_68
| ~ spl0_171
| ~ spl0_15
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2341,f550,f298,f2352,f545]) ).
fof(f2341,plain,
( ~ c1_1(a20)
| ~ c3_1(a20)
| ~ spl0_15
| ~ spl0_69 ),
inference(resolution,[],[f299,f552]) ).
fof(f2293,plain,
( ~ spl0_33
| spl0_98
| ~ spl0_99
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2292,plain,
( $false
| ~ spl0_33
| spl0_98
| ~ spl0_99
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f2291,f712]) ).
fof(f712,plain,
( c1_1(a36)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl0_99
<=> c1_1(a36) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f2291,plain,
( ~ c1_1(a36)
| ~ spl0_33
| spl0_98
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f2290,f707]) ).
fof(f707,plain,
( ~ c2_1(a36)
| spl0_98 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl0_98
<=> c2_1(a36) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f2290,plain,
( c2_1(a36)
| ~ c1_1(a36)
| ~ spl0_33
| ~ spl0_100 ),
inference(resolution,[],[f717,f378]) ).
fof(f717,plain,
( c0_1(a36)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f715,plain,
( spl0_100
<=> c0_1(a36) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f2283,plain,
( spl0_126
| ~ spl0_34
| ~ spl0_45
| spl0_125 ),
inference(avatar_split_clause,[],[f2261,f849,f429,f381,f854]) ).
fof(f381,plain,
( spl0_34
<=> ! [X17] :
( ~ c1_1(X17)
| c2_1(X17)
| c3_1(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2261,plain,
( c2_1(a21)
| ~ spl0_34
| ~ spl0_45
| spl0_125 ),
inference(resolution,[],[f2254,f851]) ).
fof(f2254,plain,
( ! [X38] :
( c3_1(X38)
| c2_1(X38) )
| ~ spl0_34
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f430,f382]) ).
fof(f382,plain,
( ! [X17] :
( ~ c1_1(X17)
| c2_1(X17)
| c3_1(X17) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f2252,plain,
( ~ spl0_53
| spl0_134
| ~ spl0_135
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2251]) ).
fof(f2251,plain,
( $false
| ~ spl0_53
| spl0_134
| ~ spl0_135
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f2250,f904]) ).
fof(f2250,plain,
( ~ c2_1(a13)
| ~ spl0_53
| spl0_134
| ~ spl0_136 ),
inference(subsumption_resolution,[],[f2246,f899]) ).
fof(f2246,plain,
( c0_1(a13)
| ~ c2_1(a13)
| ~ spl0_53
| ~ spl0_136 ),
inference(resolution,[],[f462,f909]) ).
fof(f909,plain,
( c1_1(a13)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f907,plain,
( spl0_136
<=> c1_1(a13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f462,plain,
( ! [X46] :
( ~ c1_1(X46)
| c0_1(X46)
| ~ c2_1(X46) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl0_53
<=> ! [X46] :
( ~ c2_1(X46)
| c0_1(X46)
| ~ c1_1(X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2214,plain,
( ~ spl0_37
| spl0_83
| ~ spl0_84
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2213,plain,
( $false
| ~ spl0_37
| spl0_83
| ~ spl0_84
| ~ spl0_85 ),
inference(subsumption_resolution,[],[f2212,f632]) ).
fof(f632,plain,
( c3_1(a54)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl0_84
<=> c3_1(a54) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2212,plain,
( ~ c3_1(a54)
| ~ spl0_37
| spl0_83
| ~ spl0_85 ),
inference(subsumption_resolution,[],[f2207,f627]) ).
fof(f627,plain,
( ~ c1_1(a54)
| spl0_83 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl0_83
<=> c1_1(a54) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f2207,plain,
( c1_1(a54)
| ~ c3_1(a54)
| ~ spl0_37
| ~ spl0_85 ),
inference(resolution,[],[f395,f637]) ).
fof(f637,plain,
( c0_1(a54)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f635,plain,
( spl0_85
<=> c0_1(a54) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f2133,plain,
( ~ spl0_36
| spl0_110
| ~ spl0_111
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
fof(f2132,plain,
( $false
| ~ spl0_36
| spl0_110
| ~ spl0_111
| ~ spl0_112 ),
inference(subsumption_resolution,[],[f2131,f781]) ).
fof(f2131,plain,
( ~ c2_1(a30)
| ~ spl0_36
| spl0_110
| ~ spl0_111 ),
inference(subsumption_resolution,[],[f2125,f771]) ).
fof(f2125,plain,
( c1_1(a30)
| ~ c2_1(a30)
| ~ spl0_36
| ~ spl0_111 ),
inference(resolution,[],[f391,f776]) ).
fof(f391,plain,
( ! [X22] :
( ~ c3_1(X22)
| c1_1(X22)
| ~ c2_1(X22) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl0_36
<=> ! [X22] :
( ~ c3_1(X22)
| c1_1(X22)
| ~ c2_1(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2116,plain,
( ~ spl0_74
| ~ spl0_161
| ~ spl0_18
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2109,f587,f311,f1048,f577]) ).
fof(f2109,plain,
( ~ c3_1(a2)
| ~ c2_1(a2)
| ~ spl0_18
| ~ spl0_76 ),
inference(resolution,[],[f312,f589]) ).
fof(f1949,plain,
( ~ spl0_18
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
fof(f1948,plain,
( $false
| ~ spl0_18
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f1947,f552]) ).
fof(f1947,plain,
( ~ c2_1(a20)
| ~ spl0_18
| ~ spl0_68
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f1942,f547]) ).
fof(f1942,plain,
( ~ c3_1(a20)
| ~ c2_1(a20)
| ~ spl0_18
| ~ spl0_70 ),
inference(resolution,[],[f312,f557]) ).
fof(f1710,plain,
( spl0_165
| ~ spl0_34
| spl0_101
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1709,f731,f721,f381,f1369]) ).
fof(f1369,plain,
( spl0_165
<=> c2_1(a35) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f721,plain,
( spl0_101
<=> c3_1(a35) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f731,plain,
( spl0_103
<=> c1_1(a35) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1709,plain,
( c2_1(a35)
| ~ spl0_34
| spl0_101
| ~ spl0_103 ),
inference(subsumption_resolution,[],[f1708,f723]) ).
fof(f723,plain,
( ~ c3_1(a35)
| spl0_101 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f1708,plain,
( c2_1(a35)
| c3_1(a35)
| ~ spl0_34
| ~ spl0_103 ),
inference(resolution,[],[f733,f382]) ).
fof(f733,plain,
( c1_1(a35)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1649,plain,
( ~ spl0_15
| ~ spl0_28
| ~ spl0_34
| ~ spl0_147
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1648,plain,
( $false
| ~ spl0_15
| ~ spl0_28
| ~ spl0_34
| ~ spl0_147
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f1634,f968]) ).
fof(f968,plain,
( c3_1(a7)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f1634,plain,
( ~ c3_1(a7)
| ~ spl0_15
| ~ spl0_28
| ~ spl0_34
| ~ spl0_148 ),
inference(resolution,[],[f1552,f973]) ).
fof(f1552,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_15
| ~ spl0_28
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f299,f1171]) ).
fof(f1171,plain,
( ! [X12] :
( c2_1(X12)
| ~ c1_1(X12) )
| ~ spl0_28
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f358,f382]) ).
fof(f1553,plain,
( ~ spl0_142
| spl0_141
| ~ spl0_39
| spl0_140 ),
inference(avatar_split_clause,[],[f1250,f929,f403,f934,f939]) ).
fof(f1250,plain,
( c1_1(a10)
| ~ c2_1(a10)
| ~ spl0_39
| spl0_140 ),
inference(resolution,[],[f404,f931]) ).
fof(f1549,plain,
( spl0_134
| ~ spl0_51
| ~ spl0_55
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1531,f907,f475,f453,f897]) ).
fof(f475,plain,
( spl0_55
<=> ! [X61] :
( ~ c1_1(X61)
| c0_1(X61)
| c3_1(X61) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1531,plain,
( c0_1(a13)
| ~ spl0_51
| ~ spl0_55
| ~ spl0_136 ),
inference(resolution,[],[f1509,f909]) ).
fof(f1509,plain,
( ! [X45] :
( ~ c1_1(X45)
| c0_1(X45) )
| ~ spl0_51
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f454,f476]) ).
fof(f476,plain,
( ! [X61] :
( c3_1(X61)
| c0_1(X61)
| ~ c1_1(X61) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f1503,plain,
( spl0_102
| ~ spl0_55
| spl0_101
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1502,f731,f721,f475,f726]) ).
fof(f726,plain,
( spl0_102
<=> c0_1(a35) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1502,plain,
( c0_1(a35)
| ~ spl0_55
| spl0_101
| ~ spl0_103 ),
inference(subsumption_resolution,[],[f1485,f733]) ).
fof(f1485,plain,
( c0_1(a35)
| ~ c1_1(a35)
| ~ spl0_55
| spl0_101 ),
inference(resolution,[],[f476,f723]) ).
fof(f1501,plain,
( spl0_96
| ~ spl0_39
| ~ spl0_55
| spl0_95
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1500,f699,f689,f475,f403,f694]) ).
fof(f694,plain,
( spl0_96
<=> c0_1(a39) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f689,plain,
( spl0_95
<=> c3_1(a39) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f699,plain,
( spl0_97
<=> c2_1(a39) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1500,plain,
( c0_1(a39)
| ~ spl0_39
| ~ spl0_55
| spl0_95
| ~ spl0_97 ),
inference(subsumption_resolution,[],[f1486,f1259]) ).
fof(f1259,plain,
( c1_1(a39)
| ~ spl0_39
| spl0_95
| ~ spl0_97 ),
inference(subsumption_resolution,[],[f1256,f701]) ).
fof(f701,plain,
( c2_1(a39)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f1256,plain,
( c1_1(a39)
| ~ c2_1(a39)
| ~ spl0_39
| spl0_95 ),
inference(resolution,[],[f404,f691]) ).
fof(f691,plain,
( ~ c3_1(a39)
| spl0_95 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f1486,plain,
( c0_1(a39)
| ~ c1_1(a39)
| ~ spl0_55
| spl0_95 ),
inference(resolution,[],[f476,f691]) ).
fof(f1477,plain,
( ~ spl0_54
| spl0_95
| spl0_96
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| ~ spl0_54
| spl0_95
| spl0_96
| ~ spl0_97 ),
inference(subsumption_resolution,[],[f1475,f701]) ).
fof(f1475,plain,
( ~ c2_1(a39)
| ~ spl0_54
| spl0_95
| spl0_96 ),
inference(subsumption_resolution,[],[f1464,f696]) ).
fof(f696,plain,
( ~ c0_1(a39)
| spl0_96 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f1464,plain,
( c0_1(a39)
| ~ c2_1(a39)
| ~ spl0_54
| spl0_95 ),
inference(resolution,[],[f468,f691]) ).
fof(f1474,plain,
( ~ spl0_54
| spl0_101
| spl0_102
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| ~ spl0_54
| spl0_101
| spl0_102
| ~ spl0_165 ),
inference(subsumption_resolution,[],[f1472,f1370]) ).
fof(f1370,plain,
( c2_1(a35)
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1472,plain,
( ~ c2_1(a35)
| ~ spl0_54
| spl0_101
| spl0_102 ),
inference(subsumption_resolution,[],[f1463,f728]) ).
fof(f728,plain,
( ~ c0_1(a35)
| spl0_102 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f1463,plain,
( c0_1(a35)
| ~ c2_1(a35)
| ~ spl0_54
| spl0_101 ),
inference(resolution,[],[f468,f723]) ).
fof(f1445,plain,
( ~ spl0_99
| ~ spl0_28
| ~ spl0_34
| spl0_98 ),
inference(avatar_split_clause,[],[f1444,f705,f381,f357,f710]) ).
fof(f1444,plain,
( ~ c1_1(a36)
| ~ spl0_28
| ~ spl0_34
| spl0_98 ),
inference(resolution,[],[f707,f1171]) ).
fof(f1389,plain,
( ~ spl0_28
| ~ spl0_34
| ~ spl0_53
| spl0_146
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1388,plain,
( $false
| ~ spl0_28
| ~ spl0_34
| ~ spl0_53
| spl0_146
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f1377,f963]) ).
fof(f1377,plain,
( c0_1(a7)
| ~ spl0_28
| ~ spl0_34
| ~ spl0_53
| ~ spl0_148 ),
inference(resolution,[],[f1376,f973]) ).
fof(f1376,plain,
( ! [X46] :
( ~ c1_1(X46)
| c0_1(X46) )
| ~ spl0_28
| ~ spl0_34
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f462,f1171]) ).
fof(f1366,plain,
( ~ spl0_35
| spl0_125
| spl0_126
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1365]) ).
fof(f1365,plain,
( $false
| ~ spl0_35
| spl0_125
| spl0_126
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f1364,f851]) ).
fof(f1364,plain,
( c3_1(a21)
| ~ spl0_35
| spl0_126
| ~ spl0_127 ),
inference(subsumption_resolution,[],[f1360,f856]) ).
fof(f1360,plain,
( c2_1(a21)
| c3_1(a21)
| ~ spl0_35
| ~ spl0_127 ),
inference(resolution,[],[f861,f387]) ).
fof(f1343,plain,
( ~ spl0_51
| spl0_146
| ~ spl0_147
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| ~ spl0_51
| spl0_146
| ~ spl0_147
| ~ spl0_148 ),
inference(subsumption_resolution,[],[f1341,f973]) ).
fof(f1341,plain,
( ~ c1_1(a7)
| ~ spl0_51
| spl0_146
| ~ spl0_147 ),
inference(subsumption_resolution,[],[f1333,f963]) ).
fof(f1333,plain,
( c0_1(a7)
| ~ c1_1(a7)
| ~ spl0_51
| ~ spl0_147 ),
inference(resolution,[],[f454,f968]) ).
fof(f1324,plain,
( ~ spl0_48
| spl0_116
| ~ spl0_117
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f1323]) ).
fof(f1323,plain,
( $false
| ~ spl0_48
| spl0_116
| ~ spl0_117
| ~ spl0_118 ),
inference(subsumption_resolution,[],[f1322,f813]) ).
fof(f813,plain,
( c2_1(a28)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f811,plain,
( spl0_118
<=> c2_1(a28) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1322,plain,
( ~ c2_1(a28)
| ~ spl0_48
| spl0_116
| ~ spl0_117 ),
inference(subsumption_resolution,[],[f1313,f803]) ).
fof(f803,plain,
( ~ c0_1(a28)
| spl0_116 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl0_116
<=> c0_1(a28) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1313,plain,
( c0_1(a28)
| ~ c2_1(a28)
| ~ spl0_48
| ~ spl0_117 ),
inference(resolution,[],[f442,f808]) ).
fof(f808,plain,
( c3_1(a28)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl0_117
<=> c3_1(a28) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1282,plain,
( ~ spl0_39
| ~ spl0_45
| spl0_80
| spl0_81 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl0_39
| ~ spl0_45
| spl0_80
| spl0_81 ),
inference(subsumption_resolution,[],[f1276,f616]) ).
fof(f616,plain,
( ~ c1_1(a57)
| spl0_81 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl0_81
<=> c1_1(a57) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1276,plain,
( c1_1(a57)
| ~ spl0_39
| ~ spl0_45
| spl0_80 ),
inference(resolution,[],[f1267,f611]) ).
fof(f611,plain,
( ~ c3_1(a57)
| spl0_80 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl0_80
<=> c3_1(a57) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1267,plain,
( ! [X38] :
( c3_1(X38)
| c1_1(X38) )
| ~ spl0_39
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f430,f404]) ).
fof(f1241,plain,
( ~ spl0_28
| ~ spl0_34
| ~ spl0_37
| spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1240,plain,
( $false
| ~ spl0_28
| ~ spl0_34
| ~ spl0_37
| spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f1228,f1223]) ).
fof(f1223,plain,
( ~ c1_1(a6)
| ~ spl0_28
| ~ spl0_34
| spl0_149 ),
inference(resolution,[],[f979,f1171]) ).
fof(f1228,plain,
( c1_1(a6)
| ~ spl0_37
| ~ spl0_150
| ~ spl0_151 ),
inference(subsumption_resolution,[],[f1226,f984]) ).
fof(f1226,plain,
( c1_1(a6)
| ~ c3_1(a6)
| ~ spl0_37
| ~ spl0_151 ),
inference(resolution,[],[f989,f395]) ).
fof(f1191,plain,
( ~ spl0_26
| ~ spl0_28
| ~ spl0_34
| ~ spl0_66
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| ~ spl0_26
| ~ spl0_28
| ~ spl0_34
| ~ spl0_66
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f1189,f536]) ).
fof(f1189,plain,
( ~ c1_1(a76)
| ~ spl0_26
| ~ spl0_28
| ~ spl0_34
| ~ spl0_66
| ~ spl0_67 ),
inference(resolution,[],[f1174,f1171]) ).
fof(f1174,plain,
( ~ c2_1(a76)
| ~ spl0_26
| ~ spl0_66
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f1172,f536]) ).
fof(f1172,plain,
( ~ c2_1(a76)
| ~ c1_1(a76)
| ~ spl0_26
| ~ spl0_67 ),
inference(resolution,[],[f541,f349]) ).
fof(f349,plain,
( ! [X10] :
( ~ c0_1(X10)
| ~ c2_1(X10)
| ~ c1_1(X10) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl0_26
<=> ! [X10] :
( ~ c2_1(X10)
| ~ c0_1(X10)
| ~ c1_1(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1165,plain,
( ~ spl0_26
| ~ spl0_34
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1164,plain,
( $false
| ~ spl0_26
| ~ spl0_34
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f1163,f920]) ).
fof(f1163,plain,
( ~ c1_1(a12)
| ~ spl0_26
| ~ spl0_34
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(subsumption_resolution,[],[f1161,f1155]) ).
fof(f1155,plain,
( c2_1(a12)
| ~ spl0_34
| spl0_137
| ~ spl0_138 ),
inference(subsumption_resolution,[],[f1153,f915]) ).
fof(f915,plain,
( ~ c3_1(a12)
| spl0_137 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f1153,plain,
( c2_1(a12)
| c3_1(a12)
| ~ spl0_34
| ~ spl0_138 ),
inference(resolution,[],[f920,f382]) ).
fof(f1161,plain,
( ~ c2_1(a12)
| ~ c1_1(a12)
| ~ spl0_26
| ~ spl0_139 ),
inference(resolution,[],[f349,f925]) ).
fof(f1150,plain,
( ~ spl0_28
| ~ spl0_34
| spl0_122
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1149,plain,
( $false
| ~ spl0_28
| ~ spl0_34
| spl0_122
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f1145,f835]) ).
fof(f1145,plain,
( c2_1(a24)
| ~ spl0_28
| ~ spl0_34
| ~ spl0_124 ),
inference(resolution,[],[f1144,f845]) ).
fof(f1144,plain,
( ! [X12] :
( ~ c1_1(X12)
| c2_1(X12) )
| ~ spl0_28
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f358,f382]) ).
fof(f1124,plain,
( spl0_114
| ~ spl0_34
| spl0_113
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1123,f795,f785,f381,f790]) ).
fof(f795,plain,
( spl0_115
<=> c1_1(a29) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1123,plain,
( c2_1(a29)
| ~ spl0_34
| spl0_113
| ~ spl0_115 ),
inference(subsumption_resolution,[],[f1117,f787]) ).
fof(f1117,plain,
( c2_1(a29)
| c3_1(a29)
| ~ spl0_34
| ~ spl0_115 ),
inference(resolution,[],[f797,f382]) ).
fof(f797,plain,
( c1_1(a29)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1045,plain,
( ~ spl0_67
| ~ spl0_21
| ~ spl0_65
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1044,f534,f529,f324,f539]) ).
fof(f1044,plain,
( ~ c0_1(a76)
| ~ spl0_21
| ~ spl0_65
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f1040,f531]) ).
fof(f1040,plain,
( ~ c0_1(a76)
| ~ c3_1(a76)
| ~ spl0_21
| ~ spl0_66 ),
inference(resolution,[],[f325,f536]) ).
fof(f1007,plain,
( ~ spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f15,f294,f271]) ).
fof(f271,plain,
( spl0_9
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f294,plain,
( spl0_14
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f15,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ( hskp5
| hskp24
| hskp21 )
& ( hskp27
| hskp6
| hskp12 )
& ( hskp26
| hskp27
| hskp3 )
& ( hskp13
| hskp2
| hskp3 )
& ( hskp26
| hskp30
| hskp7 )
& ( hskp24
| hskp12
| hskp31 )
& ( hskp2
| hskp12
| ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ) )
& ( hskp9
| hskp25
| ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ) )
& ( hskp13
| hskp15
| ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0 ) )
& ( hskp31
| hskp28
| ! [X3] :
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0 ) )
& ( hskp24
| hskp14
| ! [X4] :
( ~ c3_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4)
| ~ ndr1_0 ) )
& ( hskp26
| hskp12
| ! [X5] :
( ~ c3_1(X5)
| ~ c1_1(X5)
| ~ c0_1(X5)
| ~ ndr1_0 ) )
& ( hskp19
| hskp29
| ! [X6] :
( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0 ) )
& ( hskp2
| hskp0
| ! [X7] :
( ~ c3_1(X7)
| ~ c1_1(X7)
| ~ c0_1(X7)
| ~ ndr1_0 ) )
& ( hskp21
| ! [X8] :
( ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9)
| ~ ndr1_0 ) )
& ( hskp27
| hskp18
| ! [X10] :
( ~ c2_1(X10)
| ~ c1_1(X10)
| ~ c0_1(X10)
| ~ ndr1_0 ) )
& ( hskp9
| hskp28
| ! [X11] :
( ~ c2_1(X11)
| ~ c1_1(X11)
| ~ c0_1(X11)
| ~ ndr1_0 ) )
& ( hskp16
| ! [X12] :
( ~ c3_1(X12)
| ~ c1_1(X12)
| c2_1(X12)
| ~ ndr1_0 ) )
& ( hskp7
| hskp28
| ! [X13] :
( ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13)
| ~ ndr1_0 ) )
& ( hskp17
| ! [X14] :
( ~ c2_1(X14)
| ~ c1_1(X14)
| c3_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( ~ c3_1(X15)
| ~ c0_1(X15)
| c2_1(X15)
| ~ ndr1_0 ) )
& ( hskp26
| hskp28
| ! [X16] :
( ~ c1_1(X16)
| ~ c0_1(X16)
| c2_1(X16)
| ~ ndr1_0 ) )
& ( hskp3
| hskp25
| ! [X17] :
( ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17)
| ~ ndr1_0 ) )
& ( hskp12
| ! [X18] :
( ~ c3_1(X18)
| ~ c2_1(X18)
| ~ c0_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( ~ c1_1(X19)
| c3_1(X19)
| c2_1(X19)
| ~ ndr1_0 ) )
& ( hskp24
| hskp3
| ! [X20] :
( ~ c0_1(X20)
| c3_1(X20)
| c2_1(X20)
| ~ ndr1_0 ) )
& ( hskp15
| ! [X21] :
( ~ c1_1(X21)
| ~ c0_1(X21)
| c2_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22)
| ~ ndr1_0 ) )
& ( hskp21
| hskp8
| ! [X23] :
( ~ c3_1(X23)
| ~ c0_1(X23)
| c1_1(X23)
| ~ ndr1_0 ) )
& ( ! [X24] :
( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( ~ c3_1(X25)
| ~ c1_1(X25)
| ~ c0_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26)
| ~ ndr1_0 ) )
& ( hskp3
| ! [X27] :
( ~ c3_1(X27)
| ~ c2_1(X27)
| ~ c1_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( ~ c2_1(X28)
| c3_1(X28)
| c1_1(X28)
| ~ ndr1_0 ) )
& ( hskp9
| ! [X29] :
( ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( ~ c2_1(X30)
| c3_1(X30)
| c1_1(X30)
| ~ ndr1_0 ) )
& ( hskp2
| ! [X31] :
( ~ c3_1(X31)
| ~ c0_1(X31)
| c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( ~ c0_1(X32)
| c3_1(X32)
| c1_1(X32)
| ~ ndr1_0 ) )
& ( hskp6
| hskp17
| ! [X33] :
( ~ c3_1(X33)
| c2_1(X33)
| c1_1(X33)
| ~ ndr1_0 ) )
& ( hskp23
| hskp30
| ! [X34] :
( ~ c0_1(X34)
| c2_1(X34)
| c1_1(X34)
| ~ ndr1_0 ) )
& ( hskp22
| ! [X35] :
( ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35)
| ~ ndr1_0 )
| ! [X36] :
( ~ c0_1(X36)
| c2_1(X36)
| c1_1(X36)
| ~ ndr1_0 ) )
& ( hskp21
| ! [X37] :
( ~ c1_1(X37)
| ~ c0_1(X37)
| c3_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( c3_1(X38)
| c2_1(X38)
| c1_1(X38)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X39] :
( ~ c3_1(X39)
| ~ c2_1(X39)
| c1_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( c3_1(X40)
| c2_1(X40)
| c1_1(X40)
| ~ ndr1_0 ) )
& ( ! [X41] :
( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( ~ c2_1(X42)
| ~ c0_1(X42)
| c1_1(X42)
| ~ ndr1_0 )
| ! [X43] :
( c3_1(X43)
| c2_1(X43)
| c1_1(X43)
| ~ ndr1_0 ) )
& ( hskp4
| hskp20
| ! [X44] :
( ~ c3_1(X44)
| ~ c2_1(X44)
| c0_1(X44)
| ~ ndr1_0 ) )
& ( hskp19
| hskp11
| ! [X45] :
( ~ c3_1(X45)
| ~ c1_1(X45)
| c0_1(X45)
| ~ ndr1_0 ) )
& ( hskp18
| hskp17
| ! [X46] :
( ~ c2_1(X46)
| ~ c1_1(X46)
| c0_1(X46)
| ~ ndr1_0 ) )
& ( hskp30
| ! [X47] :
( ~ c1_1(X47)
| ~ c0_1(X47)
| c3_1(X47)
| ~ ndr1_0 )
| ! [X48] :
( ~ c2_1(X48)
| ~ c1_1(X48)
| c0_1(X48)
| ~ ndr1_0 ) )
& ( ! [X49] :
( ~ c0_1(X49)
| c3_1(X49)
| c1_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( ~ c3_1(X50)
| ~ c1_1(X50)
| c0_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51)
| ~ ndr1_0 ) )
& ( hskp16
| hskp15
| ! [X52] :
( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52)
| ~ ndr1_0 ) )
& ( hskp14
| hskp3
| ! [X53] :
( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53)
| ~ ndr1_0 ) )
& ( hskp13
| ! [X54] :
( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54)
| ~ ndr1_0 )
| ! [X55] :
( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55)
| ~ ndr1_0 ) )
& ( ! [X56] :
( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56)
| ~ ndr1_0 )
| ! [X57] :
( ~ c0_1(X57)
| c3_1(X57)
| c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X59] :
( ~ c3_1(X59)
| ~ c2_1(X59)
| c1_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60)
| ~ ndr1_0 ) )
& ( hskp12
| ! [X61] :
( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61)
| ~ ndr1_0 ) )
& ( hskp8
| hskp30
| ! [X62] :
( ~ c1_1(X62)
| c3_1(X62)
| c0_1(X62)
| ~ ndr1_0 ) )
& ( hskp11
| hskp30
| ! [X63] :
( ~ c3_1(X63)
| c2_1(X63)
| c0_1(X63)
| ~ ndr1_0 ) )
& ( hskp5
| ! [X64] :
( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65)
| ~ ndr1_0 ) )
& ( hskp5
| ! [X66] :
( ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c3_1(X67)
| c2_1(X67)
| c0_1(X67)
| ~ ndr1_0 ) )
& ( hskp10
| ! [X68] :
( ~ c0_1(X68)
| c3_1(X68)
| c1_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( ~ c3_1(X69)
| c2_1(X69)
| c0_1(X69)
| ~ ndr1_0 ) )
& ( hskp7
| ! [X70] :
( ~ c0_1(X70)
| c3_1(X70)
| c1_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( ~ c3_1(X71)
| c2_1(X71)
| c0_1(X71)
| ~ ndr1_0 ) )
& ( ! [X72] :
( ~ c3_1(X72)
| ~ c2_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( ~ c2_1(X73)
| ~ c1_1(X73)
| c0_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c3_1(X74)
| c2_1(X74)
| c0_1(X74)
| ~ ndr1_0 ) )
& ( hskp9
| hskp0
| ! [X75] :
( ~ c1_1(X75)
| c2_1(X75)
| c0_1(X75)
| ~ ndr1_0 ) )
& ( hskp8
| hskp7
| ! [X76] :
( ~ c1_1(X76)
| c2_1(X76)
| c0_1(X76)
| ~ ndr1_0 ) )
& ( hskp28
| ! [X77] :
( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( ~ c1_1(X78)
| c2_1(X78)
| c0_1(X78)
| ~ ndr1_0 ) )
& ( ! [X79] :
( ~ c3_1(X79)
| ~ c1_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( ~ c1_1(X80)
| ~ c0_1(X80)
| c3_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( ~ c1_1(X81)
| c2_1(X81)
| c0_1(X81)
| ~ ndr1_0 ) )
& ( hskp6
| ! [X82] :
( ~ c1_1(X82)
| c3_1(X82)
| c0_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c1_1(X83)
| c2_1(X83)
| c0_1(X83)
| ~ ndr1_0 ) )
& ( hskp5
| hskp29
| ! [X84] :
( c3_1(X84)
| c2_1(X84)
| c0_1(X84)
| ~ ndr1_0 ) )
& ( hskp4
| ! [X85] :
( ~ c3_1(X85)
| c2_1(X85)
| c0_1(X85)
| ~ ndr1_0 )
| ! [X86] :
( c3_1(X86)
| c2_1(X86)
| c0_1(X86)
| ~ ndr1_0 ) )
& ( hskp3
| ! [X87] :
( ~ c1_1(X87)
| ~ c0_1(X87)
| c2_1(X87)
| ~ ndr1_0 )
| ! [X88] :
( ~ c3_1(X88)
| c1_1(X88)
| c0_1(X88)
| ~ ndr1_0 ) )
& ( ! [X89] :
( ~ c2_1(X89)
| c3_1(X89)
| c0_1(X89)
| ~ ndr1_0 )
| ! [X90] :
( ~ c1_1(X90)
| c2_1(X90)
| c0_1(X90)
| ~ ndr1_0 )
| ! [X91] :
( ~ c2_1(X91)
| c1_1(X91)
| c0_1(X91)
| ~ ndr1_0 ) )
& ( hskp2
| ! [X92] :
( ~ c1_1(X92)
| c3_1(X92)
| c2_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( c3_1(X93)
| c1_1(X93)
| c0_1(X93)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X94] :
( ~ c3_1(X94)
| c2_1(X94)
| c0_1(X94)
| ~ ndr1_0 )
| ! [X95] :
( c3_1(X95)
| c1_1(X95)
| c0_1(X95)
| ~ ndr1_0 ) )
& ( hskp0
| hskp28
| ! [X96] :
( c2_1(X96)
| c1_1(X96)
| c0_1(X96)
| ~ ndr1_0 ) )
& ( hskp0
| ! [X97] :
( ~ c2_1(X97)
| ~ c0_1(X97)
| c1_1(X97)
| ~ ndr1_0 )
| ! [X98] :
( c2_1(X98)
| c1_1(X98)
| c0_1(X98)
| ~ ndr1_0 ) )
& ( ! [X99] :
( ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99)
| ~ ndr1_0 )
| ! [X100] :
( ~ c3_1(X100)
| ~ c2_1(X100)
| c0_1(X100)
| ~ ndr1_0 )
| ! [X101] :
( c2_1(X101)
| c1_1(X101)
| c0_1(X101)
| ~ ndr1_0 ) )
& ( ( c3_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a20)
& c2_1(a20)
& c0_1(a20)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a8)
& c2_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a2)
& c1_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c2_1(a65)
& ~ c1_1(a65)
& c3_1(a65)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a57)
& ~ c1_1(a57)
& ~ c0_1(a57)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a54)
& c3_1(a54)
& c0_1(a54)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a52)
& ~ c0_1(a52)
& c3_1(a52)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a42)
& ~ c1_1(a42)
& c0_1(a42)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a40)
& ~ c2_1(a40)
& ~ c0_1(a40)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a39)
& ~ c0_1(a39)
& c2_1(a39)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a36)
& c1_1(a36)
& c0_1(a36)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a35)
& ~ c0_1(a35)
& c1_1(a35)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a33)
& c2_1(a33)
& c1_1(a33)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a32)
& c2_1(a32)
& c0_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a30)
& c3_1(a30)
& c2_1(a30)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a29)
& ~ c2_1(a29)
& c1_1(a29)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a28)
& c3_1(a28)
& c2_1(a28)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a26)
& ~ c0_1(a26)
& c3_1(a26)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a21)
& ~ c2_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a17)
& ~ c0_1(a17)
& c1_1(a17)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a15)
& ~ c2_1(a15)
& ~ c1_1(a15)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a13)
& c2_1(a13)
& c1_1(a13)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a12)
& c1_1(a12)
& c0_1(a12)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a10)
& ~ c1_1(a10)
& c2_1(a10)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a9)
& ~ c1_1(a9)
& ~ c0_1(a9)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a7)
& c3_1(a7)
& c1_1(a7)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a6)
& c3_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a5)
& ~ c0_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a4)
& c2_1(a4)
& c0_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a1)
& ~ c1_1(a1)
& c0_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( hskp5
| hskp24
| hskp21 )
& ( hskp27
| hskp6
| hskp12 )
& ( hskp26
| hskp27
| hskp3 )
& ( hskp13
| hskp2
| hskp3 )
& ( hskp26
| hskp30
| hskp7 )
& ( hskp24
| hskp12
| hskp31 )
& ( hskp2
| hskp12
| ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ) )
& ( hskp9
| hskp25
| ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ) )
& ( hskp13
| hskp15
| ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0 ) )
& ( hskp31
| hskp28
| ! [X3] :
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0 ) )
& ( hskp24
| hskp14
| ! [X4] :
( ~ c3_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4)
| ~ ndr1_0 ) )
& ( hskp26
| hskp12
| ! [X5] :
( ~ c3_1(X5)
| ~ c1_1(X5)
| ~ c0_1(X5)
| ~ ndr1_0 ) )
& ( hskp19
| hskp29
| ! [X6] :
( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0 ) )
& ( hskp2
| hskp0
| ! [X7] :
( ~ c3_1(X7)
| ~ c1_1(X7)
| ~ c0_1(X7)
| ~ ndr1_0 ) )
& ( hskp21
| ! [X8] :
( ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9)
| ~ ndr1_0 ) )
& ( hskp27
| hskp18
| ! [X10] :
( ~ c2_1(X10)
| ~ c1_1(X10)
| ~ c0_1(X10)
| ~ ndr1_0 ) )
& ( hskp9
| hskp28
| ! [X11] :
( ~ c2_1(X11)
| ~ c1_1(X11)
| ~ c0_1(X11)
| ~ ndr1_0 ) )
& ( hskp16
| ! [X12] :
( ~ c3_1(X12)
| ~ c1_1(X12)
| c2_1(X12)
| ~ ndr1_0 ) )
& ( hskp7
| hskp28
| ! [X13] :
( ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13)
| ~ ndr1_0 ) )
& ( hskp17
| ! [X14] :
( ~ c2_1(X14)
| ~ c1_1(X14)
| c3_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( ~ c3_1(X15)
| ~ c0_1(X15)
| c2_1(X15)
| ~ ndr1_0 ) )
& ( hskp26
| hskp28
| ! [X16] :
( ~ c1_1(X16)
| ~ c0_1(X16)
| c2_1(X16)
| ~ ndr1_0 ) )
& ( hskp3
| hskp25
| ! [X17] :
( ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17)
| ~ ndr1_0 ) )
& ( hskp12
| ! [X18] :
( ~ c3_1(X18)
| ~ c2_1(X18)
| ~ c0_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( ~ c1_1(X19)
| c3_1(X19)
| c2_1(X19)
| ~ ndr1_0 ) )
& ( hskp24
| hskp3
| ! [X20] :
( ~ c0_1(X20)
| c3_1(X20)
| c2_1(X20)
| ~ ndr1_0 ) )
& ( hskp15
| ! [X21] :
( ~ c1_1(X21)
| ~ c0_1(X21)
| c2_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22)
| ~ ndr1_0 ) )
& ( hskp21
| hskp8
| ! [X23] :
( ~ c3_1(X23)
| ~ c0_1(X23)
| c1_1(X23)
| ~ ndr1_0 ) )
& ( ! [X24] :
( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( ~ c3_1(X25)
| ~ c1_1(X25)
| ~ c0_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26)
| ~ ndr1_0 ) )
& ( hskp3
| ! [X27] :
( ~ c3_1(X27)
| ~ c2_1(X27)
| ~ c1_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( ~ c2_1(X28)
| c3_1(X28)
| c1_1(X28)
| ~ ndr1_0 ) )
& ( hskp9
| ! [X29] :
( ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( ~ c2_1(X30)
| c3_1(X30)
| c1_1(X30)
| ~ ndr1_0 ) )
& ( hskp2
| ! [X31] :
( ~ c3_1(X31)
| ~ c0_1(X31)
| c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( ~ c0_1(X32)
| c3_1(X32)
| c1_1(X32)
| ~ ndr1_0 ) )
& ( hskp6
| hskp17
| ! [X33] :
( ~ c3_1(X33)
| c2_1(X33)
| c1_1(X33)
| ~ ndr1_0 ) )
& ( hskp23
| hskp30
| ! [X34] :
( ~ c0_1(X34)
| c2_1(X34)
| c1_1(X34)
| ~ ndr1_0 ) )
& ( hskp22
| ! [X35] :
( ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35)
| ~ ndr1_0 )
| ! [X36] :
( ~ c0_1(X36)
| c2_1(X36)
| c1_1(X36)
| ~ ndr1_0 ) )
& ( hskp21
| ! [X37] :
( ~ c1_1(X37)
| ~ c0_1(X37)
| c3_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( c3_1(X38)
| c2_1(X38)
| c1_1(X38)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X39] :
( ~ c3_1(X39)
| ~ c2_1(X39)
| c1_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( c3_1(X40)
| c2_1(X40)
| c1_1(X40)
| ~ ndr1_0 ) )
& ( ! [X41] :
( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( ~ c2_1(X42)
| ~ c0_1(X42)
| c1_1(X42)
| ~ ndr1_0 )
| ! [X43] :
( c3_1(X43)
| c2_1(X43)
| c1_1(X43)
| ~ ndr1_0 ) )
& ( hskp4
| hskp20
| ! [X44] :
( ~ c3_1(X44)
| ~ c2_1(X44)
| c0_1(X44)
| ~ ndr1_0 ) )
& ( hskp19
| hskp11
| ! [X45] :
( ~ c3_1(X45)
| ~ c1_1(X45)
| c0_1(X45)
| ~ ndr1_0 ) )
& ( hskp18
| hskp17
| ! [X46] :
( ~ c2_1(X46)
| ~ c1_1(X46)
| c0_1(X46)
| ~ ndr1_0 ) )
& ( hskp30
| ! [X47] :
( ~ c1_1(X47)
| ~ c0_1(X47)
| c3_1(X47)
| ~ ndr1_0 )
| ! [X48] :
( ~ c2_1(X48)
| ~ c1_1(X48)
| c0_1(X48)
| ~ ndr1_0 ) )
& ( ! [X49] :
( ~ c0_1(X49)
| c3_1(X49)
| c1_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( ~ c3_1(X50)
| ~ c1_1(X50)
| c0_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51)
| ~ ndr1_0 ) )
& ( hskp16
| hskp15
| ! [X52] :
( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52)
| ~ ndr1_0 ) )
& ( hskp14
| hskp3
| ! [X53] :
( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53)
| ~ ndr1_0 ) )
& ( hskp13
| ! [X54] :
( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54)
| ~ ndr1_0 )
| ! [X55] :
( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55)
| ~ ndr1_0 ) )
& ( ! [X56] :
( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56)
| ~ ndr1_0 )
| ! [X57] :
( ~ c0_1(X57)
| c3_1(X57)
| c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58)
| ~ ndr1_0 ) )
& ( hskp8
| ! [X59] :
( ~ c3_1(X59)
| ~ c2_1(X59)
| c1_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60)
| ~ ndr1_0 ) )
& ( hskp12
| ! [X61] :
( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61)
| ~ ndr1_0 ) )
& ( hskp8
| hskp30
| ! [X62] :
( ~ c1_1(X62)
| c3_1(X62)
| c0_1(X62)
| ~ ndr1_0 ) )
& ( hskp11
| hskp30
| ! [X63] :
( ~ c3_1(X63)
| c2_1(X63)
| c0_1(X63)
| ~ ndr1_0 ) )
& ( hskp5
| ! [X64] :
( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65)
| ~ ndr1_0 ) )
& ( hskp5
| ! [X66] :
( ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c3_1(X67)
| c2_1(X67)
| c0_1(X67)
| ~ ndr1_0 ) )
& ( hskp10
| ! [X68] :
( ~ c0_1(X68)
| c3_1(X68)
| c1_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( ~ c3_1(X69)
| c2_1(X69)
| c0_1(X69)
| ~ ndr1_0 ) )
& ( hskp7
| ! [X70] :
( ~ c0_1(X70)
| c3_1(X70)
| c1_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( ~ c3_1(X71)
| c2_1(X71)
| c0_1(X71)
| ~ ndr1_0 ) )
& ( ! [X72] :
( ~ c3_1(X72)
| ~ c2_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( ~ c2_1(X73)
| ~ c1_1(X73)
| c0_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c3_1(X74)
| c2_1(X74)
| c0_1(X74)
| ~ ndr1_0 ) )
& ( hskp9
| hskp0
| ! [X75] :
( ~ c1_1(X75)
| c2_1(X75)
| c0_1(X75)
| ~ ndr1_0 ) )
& ( hskp8
| hskp7
| ! [X76] :
( ~ c1_1(X76)
| c2_1(X76)
| c0_1(X76)
| ~ ndr1_0 ) )
& ( hskp28
| ! [X77] :
( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( ~ c1_1(X78)
| c2_1(X78)
| c0_1(X78)
| ~ ndr1_0 ) )
& ( ! [X79] :
( ~ c3_1(X79)
| ~ c1_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( ~ c1_1(X80)
| ~ c0_1(X80)
| c3_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( ~ c1_1(X81)
| c2_1(X81)
| c0_1(X81)
| ~ ndr1_0 ) )
& ( hskp6
| ! [X82] :
( ~ c1_1(X82)
| c3_1(X82)
| c0_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c1_1(X83)
| c2_1(X83)
| c0_1(X83)
| ~ ndr1_0 ) )
& ( hskp5
| hskp29
| ! [X84] :
( c3_1(X84)
| c2_1(X84)
| c0_1(X84)
| ~ ndr1_0 ) )
& ( hskp4
| ! [X85] :
( ~ c3_1(X85)
| c2_1(X85)
| c0_1(X85)
| ~ ndr1_0 )
| ! [X86] :
( c3_1(X86)
| c2_1(X86)
| c0_1(X86)
| ~ ndr1_0 ) )
& ( hskp3
| ! [X87] :
( ~ c1_1(X87)
| ~ c0_1(X87)
| c2_1(X87)
| ~ ndr1_0 )
| ! [X88] :
( ~ c3_1(X88)
| c1_1(X88)
| c0_1(X88)
| ~ ndr1_0 ) )
& ( ! [X89] :
( ~ c2_1(X89)
| c3_1(X89)
| c0_1(X89)
| ~ ndr1_0 )
| ! [X90] :
( ~ c1_1(X90)
| c2_1(X90)
| c0_1(X90)
| ~ ndr1_0 )
| ! [X91] :
( ~ c2_1(X91)
| c1_1(X91)
| c0_1(X91)
| ~ ndr1_0 ) )
& ( hskp2
| ! [X92] :
( ~ c1_1(X92)
| c3_1(X92)
| c2_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( c3_1(X93)
| c1_1(X93)
| c0_1(X93)
| ~ ndr1_0 ) )
& ( hskp1
| ! [X94] :
( ~ c3_1(X94)
| c2_1(X94)
| c0_1(X94)
| ~ ndr1_0 )
| ! [X95] :
( c3_1(X95)
| c1_1(X95)
| c0_1(X95)
| ~ ndr1_0 ) )
& ( hskp0
| hskp28
| ! [X96] :
( c2_1(X96)
| c1_1(X96)
| c0_1(X96)
| ~ ndr1_0 ) )
& ( hskp0
| ! [X97] :
( ~ c2_1(X97)
| ~ c0_1(X97)
| c1_1(X97)
| ~ ndr1_0 )
| ! [X98] :
( c2_1(X98)
| c1_1(X98)
| c0_1(X98)
| ~ ndr1_0 ) )
& ( ! [X99] :
( ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99)
| ~ ndr1_0 )
| ! [X100] :
( ~ c3_1(X100)
| ~ c2_1(X100)
| c0_1(X100)
| ~ ndr1_0 )
| ! [X101] :
( c2_1(X101)
| c1_1(X101)
| c0_1(X101)
| ~ ndr1_0 ) )
& ( ( c3_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a20)
& c2_1(a20)
& c0_1(a20)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a8)
& c2_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a2)
& c1_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c2_1(a65)
& ~ c1_1(a65)
& c3_1(a65)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a57)
& ~ c1_1(a57)
& ~ c0_1(a57)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a54)
& c3_1(a54)
& c0_1(a54)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a52)
& ~ c0_1(a52)
& c3_1(a52)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a42)
& ~ c1_1(a42)
& c0_1(a42)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a40)
& ~ c2_1(a40)
& ~ c0_1(a40)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a39)
& ~ c0_1(a39)
& c2_1(a39)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a36)
& c1_1(a36)
& c0_1(a36)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a35)
& ~ c0_1(a35)
& c1_1(a35)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a33)
& c2_1(a33)
& c1_1(a33)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a32)
& c2_1(a32)
& c0_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a30)
& c3_1(a30)
& c2_1(a30)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a29)
& ~ c2_1(a29)
& c1_1(a29)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a28)
& c3_1(a28)
& c2_1(a28)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a26)
& ~ c0_1(a26)
& c3_1(a26)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a21)
& ~ c2_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a17)
& ~ c0_1(a17)
& c1_1(a17)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a15)
& ~ c2_1(a15)
& ~ c1_1(a15)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a13)
& c2_1(a13)
& c1_1(a13)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a12)
& c1_1(a12)
& c0_1(a12)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a10)
& ~ c1_1(a10)
& c2_1(a10)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a9)
& ~ c1_1(a9)
& ~ c0_1(a9)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a7)
& c3_1(a7)
& c1_1(a7)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a6)
& c3_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a5)
& ~ c0_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a4)
& c2_1(a4)
& c0_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a1)
& ~ c1_1(a1)
& c0_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
( ( hskp5
| hskp24
| hskp21 )
& ( hskp27
| hskp6
| hskp12 )
& ( hskp26
| hskp27
| hskp3 )
& ( hskp13
| hskp2
| hskp3 )
& ( hskp26
| hskp30
| hskp7 )
& ( hskp24
| hskp12
| hskp31 )
& ( hskp2
| hskp12
| ! [X0] :
( ndr1_0
=> ( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ) )
& ( hskp9
| hskp25
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ) )
& ( hskp13
| hskp15
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ) )
& ( hskp31
| hskp28
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3) ) ) )
& ( hskp24
| hskp14
| ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4) ) ) )
& ( hskp26
| hskp12
| ! [X5] :
( ndr1_0
=> ( ~ c3_1(X5)
| ~ c1_1(X5)
| ~ c0_1(X5) ) ) )
& ( hskp19
| hskp29
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ) ) )
& ( hskp2
| hskp0
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c1_1(X7)
| ~ c0_1(X7) ) ) )
& ( hskp21
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) ) )
& ( hskp27
| hskp18
| ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ~ c1_1(X10)
| ~ c0_1(X10) ) ) )
& ( hskp9
| hskp28
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ~ c1_1(X11)
| ~ c0_1(X11) ) ) )
& ( hskp16
| ! [X12] :
( ndr1_0
=> ( ~ c3_1(X12)
| ~ c1_1(X12)
| c2_1(X12) ) ) )
& ( hskp7
| hskp28
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13) ) ) )
& ( hskp17
| ! [X14] :
( ndr1_0
=> ( ~ c2_1(X14)
| ~ c1_1(X14)
| c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| ~ c0_1(X15)
| c2_1(X15) ) ) )
& ( hskp26
| hskp28
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| ~ c0_1(X16)
| c2_1(X16) ) ) )
& ( hskp3
| hskp25
| ! [X17] :
( ndr1_0
=> ( ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17) ) ) )
& ( hskp12
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c2_1(X18)
| ~ c0_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c3_1(X19)
| c2_1(X19) ) ) )
& ( hskp24
| hskp3
| ! [X20] :
( ndr1_0
=> ( ~ c0_1(X20)
| c3_1(X20)
| c2_1(X20) ) ) )
& ( hskp15
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| ~ c0_1(X21)
| c2_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22) ) ) )
& ( hskp21
| hskp8
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c0_1(X23)
| c1_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| ~ c1_1(X25)
| ~ c0_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) ) ) )
& ( hskp3
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c3_1(X28)
| c1_1(X28) ) ) )
& ( hskp9
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c2_1(X30)
| c3_1(X30)
| c1_1(X30) ) ) )
& ( hskp2
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| ~ c0_1(X31)
| c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c0_1(X32)
| c3_1(X32)
| c1_1(X32) ) ) )
& ( hskp6
| hskp17
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| c2_1(X33)
| c1_1(X33) ) ) )
& ( hskp23
| hskp30
| ! [X34] :
( ndr1_0
=> ( ~ c0_1(X34)
| c2_1(X34)
| c1_1(X34) ) ) )
& ( hskp22
| ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c0_1(X36)
| c2_1(X36)
| c1_1(X36) ) ) )
& ( hskp21
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| ~ c0_1(X37)
| c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c3_1(X38)
| c2_1(X38)
| c1_1(X38) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c3_1(X39)
| ~ c2_1(X39)
| c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| c2_1(X40)
| c1_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c2_1(X42)
| ~ c0_1(X42)
| c1_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) ) )
& ( hskp4
| hskp20
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp19
| hskp11
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ) ) )
& ( hskp18
| hskp17
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c1_1(X46)
| c0_1(X46) ) ) )
& ( hskp30
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c0_1(X47)
| c3_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| ~ c1_1(X48)
| c0_1(X48) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( ~ c0_1(X49)
| c3_1(X49)
| c1_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp16
| hskp15
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp14
| hskp3
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp13
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c0_1(X57)
| c3_1(X57)
| c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58) ) ) )
& ( hskp8
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c2_1(X59)
| c1_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60) ) ) )
& ( hskp12
| ! [X61] :
( ndr1_0
=> ( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61) ) ) )
& ( hskp8
| hskp30
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| c3_1(X62)
| c0_1(X62) ) ) )
& ( hskp11
| hskp30
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp5
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp5
| ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| c2_1(X67)
| c0_1(X67) ) ) )
& ( hskp10
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c3_1(X68)
| c1_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| c2_1(X69)
| c0_1(X69) ) ) )
& ( hskp7
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c3_1(X70)
| c1_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| c2_1(X71)
| c0_1(X71) ) ) )
& ( ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| ~ c1_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c1_1(X73)
| c0_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c0_1(X74) ) ) )
& ( hskp9
| hskp0
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| c2_1(X75)
| c0_1(X75) ) ) )
& ( hskp8
| hskp7
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| c2_1(X76)
| c0_1(X76) ) ) )
& ( hskp28
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| c2_1(X78)
| c0_1(X78) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c1_1(X79)
| ~ c0_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| ~ c0_1(X80)
| c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c2_1(X81)
| c0_1(X81) ) ) )
& ( hskp6
| ! [X82] :
( ndr1_0
=> ( ~ c1_1(X82)
| c3_1(X82)
| c0_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| c2_1(X83)
| c0_1(X83) ) ) )
& ( hskp5
| hskp29
| ! [X84] :
( ndr1_0
=> ( c3_1(X84)
| c2_1(X84)
| c0_1(X84) ) ) )
& ( hskp4
| ! [X85] :
( ndr1_0
=> ( ~ c3_1(X85)
| c2_1(X85)
| c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| c2_1(X86)
| c0_1(X86) ) ) )
& ( hskp3
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| ~ c0_1(X87)
| c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| c1_1(X88)
| c0_1(X88) ) ) )
& ( ! [X89] :
( ndr1_0
=> ( ~ c2_1(X89)
| c3_1(X89)
| c0_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c1_1(X90)
| c2_1(X90)
| c0_1(X90) ) )
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| c1_1(X91)
| c0_1(X91) ) ) )
& ( hskp2
| ! [X92] :
( ndr1_0
=> ( ~ c1_1(X92)
| c3_1(X92)
| c2_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( c3_1(X93)
| c1_1(X93)
| c0_1(X93) ) ) )
& ( hskp1
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| c2_1(X94)
| c0_1(X94) ) )
| ! [X95] :
( ndr1_0
=> ( c3_1(X95)
| c1_1(X95)
| c0_1(X95) ) ) )
& ( hskp0
| hskp28
| ! [X96] :
( ndr1_0
=> ( c2_1(X96)
| c1_1(X96)
| c0_1(X96) ) ) )
& ( hskp0
| ! [X97] :
( ndr1_0
=> ( ~ c2_1(X97)
| ~ c0_1(X97)
| c1_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| c1_1(X98)
| c0_1(X98) ) ) )
& ( ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| c0_1(X100) ) )
| ! [X101] :
( ndr1_0
=> ( c2_1(X101)
| c1_1(X101)
| c0_1(X101) ) ) )
& ( ( c3_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a20)
& c2_1(a20)
& c0_1(a20)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a8)
& c2_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a2)
& c1_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c2_1(a65)
& ~ c1_1(a65)
& c3_1(a65)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a57)
& ~ c1_1(a57)
& ~ c0_1(a57)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a54)
& c3_1(a54)
& c0_1(a54)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a52)
& ~ c0_1(a52)
& c3_1(a52)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a42)
& ~ c1_1(a42)
& c0_1(a42)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a40)
& ~ c2_1(a40)
& ~ c0_1(a40)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a39)
& ~ c0_1(a39)
& c2_1(a39)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a36)
& c1_1(a36)
& c0_1(a36)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a35)
& ~ c0_1(a35)
& c1_1(a35)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a33)
& c2_1(a33)
& c1_1(a33)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a32)
& c2_1(a32)
& c0_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a30)
& c3_1(a30)
& c2_1(a30)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a29)
& ~ c2_1(a29)
& c1_1(a29)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a28)
& c3_1(a28)
& c2_1(a28)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a26)
& ~ c0_1(a26)
& c3_1(a26)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a21)
& ~ c2_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a17)
& ~ c0_1(a17)
& c1_1(a17)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a15)
& ~ c2_1(a15)
& ~ c1_1(a15)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a13)
& c2_1(a13)
& c1_1(a13)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a12)
& c1_1(a12)
& c0_1(a12)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a10)
& ~ c1_1(a10)
& c2_1(a10)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a9)
& ~ c1_1(a9)
& ~ c0_1(a9)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a7)
& c3_1(a7)
& c1_1(a7)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a6)
& c3_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a5)
& ~ c0_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a4)
& c2_1(a4)
& c0_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a1)
& ~ c1_1(a1)
& c0_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ( ( hskp5
| hskp24
| hskp21 )
& ( hskp27
| hskp6
| hskp12 )
& ( hskp26
| hskp27
| hskp3 )
& ( hskp13
| hskp2
| hskp3 )
& ( hskp26
| hskp30
| hskp7 )
& ( hskp24
| hskp12
| hskp31 )
& ( hskp2
| hskp12
| ! [X0] :
( ndr1_0
=> ( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ) )
& ( hskp9
| hskp25
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ) )
& ( hskp13
| hskp15
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ) )
& ( hskp31
| hskp28
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3) ) ) )
& ( hskp24
| hskp14
| ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4) ) ) )
& ( hskp26
| hskp12
| ! [X5] :
( ndr1_0
=> ( ~ c3_1(X5)
| ~ c1_1(X5)
| ~ c0_1(X5) ) ) )
& ( hskp19
| hskp29
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ) ) )
& ( hskp2
| hskp0
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c1_1(X7)
| ~ c0_1(X7) ) ) )
& ( hskp21
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) ) )
& ( hskp27
| hskp18
| ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ~ c1_1(X10)
| ~ c0_1(X10) ) ) )
& ( hskp9
| hskp28
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ~ c1_1(X11)
| ~ c0_1(X11) ) ) )
& ( hskp16
| ! [X12] :
( ndr1_0
=> ( ~ c3_1(X12)
| ~ c1_1(X12)
| c2_1(X12) ) ) )
& ( hskp7
| hskp28
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13) ) ) )
& ( hskp17
| ! [X14] :
( ndr1_0
=> ( ~ c2_1(X14)
| ~ c1_1(X14)
| c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| ~ c0_1(X15)
| c2_1(X15) ) ) )
& ( hskp26
| hskp28
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| ~ c0_1(X16)
| c2_1(X16) ) ) )
& ( hskp3
| hskp25
| ! [X17] :
( ndr1_0
=> ( ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17) ) ) )
& ( hskp12
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c2_1(X18)
| ~ c0_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c3_1(X19)
| c2_1(X19) ) ) )
& ( hskp24
| hskp3
| ! [X20] :
( ndr1_0
=> ( ~ c0_1(X20)
| c3_1(X20)
| c2_1(X20) ) ) )
& ( hskp15
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| ~ c0_1(X21)
| c2_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22) ) ) )
& ( hskp21
| hskp8
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c0_1(X23)
| c1_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| ~ c1_1(X25)
| ~ c0_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) ) ) )
& ( hskp3
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c3_1(X28)
| c1_1(X28) ) ) )
& ( hskp9
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c2_1(X30)
| c3_1(X30)
| c1_1(X30) ) ) )
& ( hskp2
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| ~ c0_1(X31)
| c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c0_1(X32)
| c3_1(X32)
| c1_1(X32) ) ) )
& ( hskp6
| hskp17
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| c2_1(X33)
| c1_1(X33) ) ) )
& ( hskp23
| hskp30
| ! [X34] :
( ndr1_0
=> ( ~ c0_1(X34)
| c2_1(X34)
| c1_1(X34) ) ) )
& ( hskp22
| ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c0_1(X36)
| c2_1(X36)
| c1_1(X36) ) ) )
& ( hskp21
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| ~ c0_1(X37)
| c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c3_1(X38)
| c2_1(X38)
| c1_1(X38) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c3_1(X39)
| ~ c2_1(X39)
| c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| c2_1(X40)
| c1_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c2_1(X42)
| ~ c0_1(X42)
| c1_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) ) )
& ( hskp4
| hskp20
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp19
| hskp11
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ) ) )
& ( hskp18
| hskp17
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c1_1(X46)
| c0_1(X46) ) ) )
& ( hskp30
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c0_1(X47)
| c3_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| ~ c1_1(X48)
| c0_1(X48) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( ~ c0_1(X49)
| c3_1(X49)
| c1_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp16
| hskp15
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp14
| hskp3
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp13
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c0_1(X57)
| c3_1(X57)
| c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58) ) ) )
& ( hskp8
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c2_1(X59)
| c1_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60) ) ) )
& ( hskp12
| ! [X61] :
( ndr1_0
=> ( ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61) ) ) )
& ( hskp8
| hskp30
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| c3_1(X62)
| c0_1(X62) ) ) )
& ( hskp11
| hskp30
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp5
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp5
| ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| c2_1(X67)
| c0_1(X67) ) ) )
& ( hskp10
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c3_1(X68)
| c1_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| c2_1(X69)
| c0_1(X69) ) ) )
& ( hskp7
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c3_1(X70)
| c1_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| c2_1(X71)
| c0_1(X71) ) ) )
& ( ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| ~ c1_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c1_1(X73)
| c0_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c0_1(X74) ) ) )
& ( hskp9
| hskp0
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| c2_1(X75)
| c0_1(X75) ) ) )
& ( hskp8
| hskp7
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| c2_1(X76)
| c0_1(X76) ) ) )
& ( hskp28
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| c2_1(X78)
| c0_1(X78) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c1_1(X79)
| ~ c0_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| ~ c0_1(X80)
| c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c2_1(X81)
| c0_1(X81) ) ) )
& ( hskp6
| ! [X82] :
( ndr1_0
=> ( ~ c1_1(X82)
| c3_1(X82)
| c0_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| c2_1(X83)
| c0_1(X83) ) ) )
& ( hskp5
| hskp29
| ! [X84] :
( ndr1_0
=> ( c3_1(X84)
| c2_1(X84)
| c0_1(X84) ) ) )
& ( hskp4
| ! [X85] :
( ndr1_0
=> ( ~ c3_1(X85)
| c2_1(X85)
| c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| c2_1(X86)
| c0_1(X86) ) ) )
& ( hskp3
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| ~ c0_1(X87)
| c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| c1_1(X88)
| c0_1(X88) ) ) )
& ( ! [X89] :
( ndr1_0
=> ( ~ c2_1(X89)
| c3_1(X89)
| c0_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c1_1(X90)
| c2_1(X90)
| c0_1(X90) ) )
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| c1_1(X91)
| c0_1(X91) ) ) )
& ( hskp2
| ! [X92] :
( ndr1_0
=> ( ~ c1_1(X92)
| c3_1(X92)
| c2_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( c3_1(X93)
| c1_1(X93)
| c0_1(X93) ) ) )
& ( hskp1
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| c2_1(X94)
| c0_1(X94) ) )
| ! [X95] :
( ndr1_0
=> ( c3_1(X95)
| c1_1(X95)
| c0_1(X95) ) ) )
& ( hskp0
| hskp28
| ! [X96] :
( ndr1_0
=> ( c2_1(X96)
| c1_1(X96)
| c0_1(X96) ) ) )
& ( hskp0
| ! [X97] :
( ndr1_0
=> ( ~ c2_1(X97)
| ~ c0_1(X97)
| c1_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| c1_1(X98)
| c0_1(X98) ) ) )
& ( ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| c0_1(X100) ) )
| ! [X101] :
( ndr1_0
=> ( c2_1(X101)
| c1_1(X101)
| c0_1(X101) ) ) )
& ( ( c3_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a20)
& c2_1(a20)
& c0_1(a20)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a8)
& c2_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a2)
& c1_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c2_1(a65)
& ~ c1_1(a65)
& c3_1(a65)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a57)
& ~ c1_1(a57)
& ~ c0_1(a57)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a54)
& c3_1(a54)
& c0_1(a54)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a52)
& ~ c0_1(a52)
& c3_1(a52)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a42)
& ~ c1_1(a42)
& c0_1(a42)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a40)
& ~ c2_1(a40)
& ~ c0_1(a40)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a39)
& ~ c0_1(a39)
& c2_1(a39)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a36)
& c1_1(a36)
& c0_1(a36)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a35)
& ~ c0_1(a35)
& c1_1(a35)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a33)
& c2_1(a33)
& c1_1(a33)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a32)
& c2_1(a32)
& c0_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a30)
& c3_1(a30)
& c2_1(a30)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a29)
& ~ c2_1(a29)
& c1_1(a29)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a28)
& c3_1(a28)
& c2_1(a28)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a26)
& ~ c0_1(a26)
& c3_1(a26)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a21)
& ~ c2_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a17)
& ~ c0_1(a17)
& c1_1(a17)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a15)
& ~ c2_1(a15)
& ~ c1_1(a15)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a13)
& c2_1(a13)
& c1_1(a13)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a12)
& c1_1(a12)
& c0_1(a12)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a10)
& ~ c1_1(a10)
& c2_1(a10)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a9)
& ~ c1_1(a9)
& ~ c0_1(a9)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a7)
& c3_1(a7)
& c1_1(a7)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a6)
& c3_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a5)
& ~ c0_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a4)
& c2_1(a4)
& c0_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a1)
& ~ c1_1(a1)
& c0_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp5
| hskp24
| hskp21 )
& ( hskp27
| hskp6
| hskp12 )
& ( hskp26
| hskp27
| hskp3 )
& ( hskp13
| hskp2
| hskp3 )
& ( hskp26
| hskp30
| hskp7 )
& ( hskp24
| hskp12
| hskp31 )
& ( hskp2
| hskp12
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c2_1(X101)
| ~ c1_1(X101) ) ) )
& ( hskp9
| hskp25
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c1_1(X100) ) ) )
& ( hskp13
| hskp15
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c2_1(X99)
| ~ c0_1(X99) ) ) )
& ( hskp31
| hskp28
| ! [X98] :
( ndr1_0
=> ( ~ c3_1(X98)
| ~ c2_1(X98)
| ~ c0_1(X98) ) ) )
& ( hskp24
| hskp14
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c1_1(X97)
| ~ c0_1(X97) ) ) )
& ( hskp26
| hskp12
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c1_1(X96)
| ~ c0_1(X96) ) ) )
& ( hskp19
| hskp29
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c1_1(X95)
| ~ c0_1(X95) ) ) )
& ( hskp2
| hskp0
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c1_1(X94)
| ~ c0_1(X94) ) ) )
& ( hskp21
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c2_1(X93)
| ~ c0_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c1_1(X92)
| ~ c0_1(X92) ) ) )
& ( hskp27
| hskp18
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) ) )
& ( hskp9
| hskp28
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| ~ c0_1(X90) ) ) )
& ( hskp16
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c1_1(X89)
| c2_1(X89) ) ) )
& ( hskp7
| hskp28
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c1_1(X88)
| c2_1(X88) ) ) )
& ( hskp17
| ! [X87] :
( ndr1_0
=> ( ~ c2_1(X87)
| ~ c1_1(X87)
| c3_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c3_1(X86)
| ~ c0_1(X86)
| c2_1(X86) ) ) )
& ( hskp26
| hskp28
| ! [X85] :
( ndr1_0
=> ( ~ c1_1(X85)
| ~ c0_1(X85)
| c2_1(X85) ) ) )
& ( hskp3
| hskp25
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| c3_1(X84)
| c2_1(X84) ) ) )
& ( hskp12
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c1_1(X82)
| c3_1(X82)
| c2_1(X82) ) ) )
& ( hskp24
| hskp3
| ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| c3_1(X81)
| c2_1(X81) ) ) )
& ( hskp15
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| ~ c0_1(X80)
| c2_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c2_1(X79)
| c1_1(X79) ) ) )
& ( hskp21
| hskp8
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c0_1(X78)
| c1_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c1_1(X76)
| ~ c0_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| ~ c0_1(X75)
| c1_1(X75) ) ) )
& ( hskp3
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c2_1(X74)
| ~ c1_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| c3_1(X73)
| c1_1(X73) ) ) )
& ( hskp9
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| c3_1(X72)
| c2_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| c3_1(X71)
| c1_1(X71) ) ) )
& ( hskp2
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c0_1(X70)
| c1_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c3_1(X69)
| c1_1(X69) ) ) )
& ( hskp6
| hskp17
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| c2_1(X68)
| c1_1(X68) ) ) )
& ( hskp23
| hskp30
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp22
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c1_1(X66)
| ~ c0_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c0_1(X65)
| c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp21
| ! [X64] :
( ndr1_0
=> ( ~ c1_1(X64)
| ~ c0_1(X64)
| c3_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( c3_1(X63)
| c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp8
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( c3_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c0_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c0_1(X59)
| c1_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp4
| hskp20
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c2_1(X57)
| c0_1(X57) ) ) )
& ( hskp19
| hskp11
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp18
| hskp17
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| c0_1(X55) ) ) )
& ( hskp30
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| ~ c0_1(X54)
| c3_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c1_1(X53)
| c0_1(X53) ) ) )
& ( ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c3_1(X52)
| c1_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ) ) )
& ( hskp16
| hskp15
| ! [X49] :
( ndr1_0
=> ( ~ c2_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp14
| hskp3
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| c3_1(X48)
| c0_1(X48) ) ) )
& ( hskp13
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| c3_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| c3_1(X46)
| c0_1(X46) ) ) )
& ( ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| ~ c0_1(X45)
| c3_1(X45) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c0_1(X44)
| c3_1(X44)
| c2_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| c3_1(X43)
| c0_1(X43) ) ) )
& ( hskp8
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| ~ c2_1(X42)
| c1_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| c3_1(X41)
| c0_1(X41) ) ) )
& ( hskp12
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c3_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| hskp30
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| hskp30
| ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp5
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c1_1(X37)
| ~ c0_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp5
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| ~ c0_1(X35)
| c3_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| c2_1(X34)
| c0_1(X34) ) ) )
& ( hskp10
| ! [X33] :
( ndr1_0
=> ( ~ c0_1(X33)
| c3_1(X33)
| c1_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp7
| ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| c3_1(X31)
| c1_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| ~ c2_1(X29)
| ~ c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| ~ c1_1(X28)
| c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp9
| hskp0
| ! [X26] :
( ndr1_0
=> ( ~ c1_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp8
| hskp7
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp28
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| c2_1(X23)
| c0_1(X23) ) ) )
& ( ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c1_1(X22)
| ~ c0_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| ~ c0_1(X21)
| c3_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c2_1(X20)
| c0_1(X20) ) ) )
& ( hskp6
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c3_1(X19)
| c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c1_1(X18)
| c2_1(X18)
| c0_1(X18) ) ) )
& ( hskp5
| hskp29
| ! [X17] :
( ndr1_0
=> ( c3_1(X17)
| c2_1(X17)
| c0_1(X17) ) ) )
& ( hskp4
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) ) )
& ( hskp3
| ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| ~ c0_1(X14)
| c2_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| c3_1(X12)
| c0_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| c2_1(X11)
| c0_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp2
| ! [X9] :
( ndr1_0
=> ( ~ c1_1(X9)
| c3_1(X9)
| c2_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp1
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| c2_1(X7)
| c0_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp0
| hskp28
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp0
| ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| ~ c0_1(X4)
| c1_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a20)
& c2_1(a20)
& c0_1(a20)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a8)
& c2_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a2)
& c1_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c2_1(a65)
& ~ c1_1(a65)
& c3_1(a65)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a57)
& ~ c1_1(a57)
& ~ c0_1(a57)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a54)
& c3_1(a54)
& c0_1(a54)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a52)
& ~ c0_1(a52)
& c3_1(a52)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a42)
& ~ c1_1(a42)
& c0_1(a42)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a40)
& ~ c2_1(a40)
& ~ c0_1(a40)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a39)
& ~ c0_1(a39)
& c2_1(a39)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a36)
& c1_1(a36)
& c0_1(a36)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a35)
& ~ c0_1(a35)
& c1_1(a35)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a33)
& c2_1(a33)
& c1_1(a33)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a32)
& c2_1(a32)
& c0_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a30)
& c3_1(a30)
& c2_1(a30)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a29)
& ~ c2_1(a29)
& c1_1(a29)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a28)
& c3_1(a28)
& c2_1(a28)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a26)
& ~ c0_1(a26)
& c3_1(a26)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a21)
& ~ c2_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a17)
& ~ c0_1(a17)
& c1_1(a17)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a15)
& ~ c2_1(a15)
& ~ c1_1(a15)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a13)
& c2_1(a13)
& c1_1(a13)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a12)
& c1_1(a12)
& c0_1(a12)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a10)
& ~ c1_1(a10)
& c2_1(a10)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a9)
& ~ c1_1(a9)
& ~ c0_1(a9)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a7)
& c3_1(a7)
& c1_1(a7)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a6)
& c3_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a5)
& ~ c0_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a4)
& c2_1(a4)
& c0_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a1)
& ~ c1_1(a1)
& c0_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ( ( hskp5
| hskp24
| hskp21 )
& ( hskp27
| hskp6
| hskp12 )
& ( hskp26
| hskp27
| hskp3 )
& ( hskp13
| hskp2
| hskp3 )
& ( hskp26
| hskp30
| hskp7 )
& ( hskp24
| hskp12
| hskp31 )
& ( hskp2
| hskp12
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c2_1(X101)
| ~ c1_1(X101) ) ) )
& ( hskp9
| hskp25
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c1_1(X100) ) ) )
& ( hskp13
| hskp15
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c2_1(X99)
| ~ c0_1(X99) ) ) )
& ( hskp31
| hskp28
| ! [X98] :
( ndr1_0
=> ( ~ c3_1(X98)
| ~ c2_1(X98)
| ~ c0_1(X98) ) ) )
& ( hskp24
| hskp14
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c1_1(X97)
| ~ c0_1(X97) ) ) )
& ( hskp26
| hskp12
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c1_1(X96)
| ~ c0_1(X96) ) ) )
& ( hskp19
| hskp29
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c1_1(X95)
| ~ c0_1(X95) ) ) )
& ( hskp2
| hskp0
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c1_1(X94)
| ~ c0_1(X94) ) ) )
& ( hskp21
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c2_1(X93)
| ~ c0_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c1_1(X92)
| ~ c0_1(X92) ) ) )
& ( hskp27
| hskp18
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) ) )
& ( hskp9
| hskp28
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| ~ c0_1(X90) ) ) )
& ( hskp16
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c1_1(X89)
| c2_1(X89) ) ) )
& ( hskp7
| hskp28
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c1_1(X88)
| c2_1(X88) ) ) )
& ( hskp17
| ! [X87] :
( ndr1_0
=> ( ~ c2_1(X87)
| ~ c1_1(X87)
| c3_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c3_1(X86)
| ~ c0_1(X86)
| c2_1(X86) ) ) )
& ( hskp26
| hskp28
| ! [X85] :
( ndr1_0
=> ( ~ c1_1(X85)
| ~ c0_1(X85)
| c2_1(X85) ) ) )
& ( hskp3
| hskp25
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| c3_1(X84)
| c2_1(X84) ) ) )
& ( hskp12
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c1_1(X82)
| c3_1(X82)
| c2_1(X82) ) ) )
& ( hskp24
| hskp3
| ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| c3_1(X81)
| c2_1(X81) ) ) )
& ( hskp15
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| ~ c0_1(X80)
| c2_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c2_1(X79)
| c1_1(X79) ) ) )
& ( hskp21
| hskp8
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c0_1(X78)
| c1_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c1_1(X76)
| ~ c0_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| ~ c0_1(X75)
| c1_1(X75) ) ) )
& ( hskp3
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c2_1(X74)
| ~ c1_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| c3_1(X73)
| c1_1(X73) ) ) )
& ( hskp9
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| c3_1(X72)
| c2_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| c3_1(X71)
| c1_1(X71) ) ) )
& ( hskp2
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c0_1(X70)
| c1_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c3_1(X69)
| c1_1(X69) ) ) )
& ( hskp6
| hskp17
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| c2_1(X68)
| c1_1(X68) ) ) )
& ( hskp23
| hskp30
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp22
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c1_1(X66)
| ~ c0_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c0_1(X65)
| c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp21
| ! [X64] :
( ndr1_0
=> ( ~ c1_1(X64)
| ~ c0_1(X64)
| c3_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( c3_1(X63)
| c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp8
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( c3_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c0_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c0_1(X59)
| c1_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp4
| hskp20
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c2_1(X57)
| c0_1(X57) ) ) )
& ( hskp19
| hskp11
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp18
| hskp17
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| c0_1(X55) ) ) )
& ( hskp30
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| ~ c0_1(X54)
| c3_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c1_1(X53)
| c0_1(X53) ) ) )
& ( ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c3_1(X52)
| c1_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ) ) )
& ( hskp16
| hskp15
| ! [X49] :
( ndr1_0
=> ( ~ c2_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp14
| hskp3
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| c3_1(X48)
| c0_1(X48) ) ) )
& ( hskp13
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| c3_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| c3_1(X46)
| c0_1(X46) ) ) )
& ( ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| ~ c0_1(X45)
| c3_1(X45) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c0_1(X44)
| c3_1(X44)
| c2_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| c3_1(X43)
| c0_1(X43) ) ) )
& ( hskp8
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| ~ c2_1(X42)
| c1_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| c3_1(X41)
| c0_1(X41) ) ) )
& ( hskp12
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c3_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| hskp30
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| hskp30
| ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp5
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c1_1(X37)
| ~ c0_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp5
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| ~ c0_1(X35)
| c3_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| c2_1(X34)
| c0_1(X34) ) ) )
& ( hskp10
| ! [X33] :
( ndr1_0
=> ( ~ c0_1(X33)
| c3_1(X33)
| c1_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp7
| ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| c3_1(X31)
| c1_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| ~ c2_1(X29)
| ~ c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| ~ c1_1(X28)
| c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp9
| hskp0
| ! [X26] :
( ndr1_0
=> ( ~ c1_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp8
| hskp7
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp28
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| c2_1(X23)
| c0_1(X23) ) ) )
& ( ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c1_1(X22)
| ~ c0_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| ~ c0_1(X21)
| c3_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c2_1(X20)
| c0_1(X20) ) ) )
& ( hskp6
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c3_1(X19)
| c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c1_1(X18)
| c2_1(X18)
| c0_1(X18) ) ) )
& ( hskp5
| hskp29
| ! [X17] :
( ndr1_0
=> ( c3_1(X17)
| c2_1(X17)
| c0_1(X17) ) ) )
& ( hskp4
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) ) )
& ( hskp3
| ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| ~ c0_1(X14)
| c2_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| c3_1(X12)
| c0_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| c2_1(X11)
| c0_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp2
| ! [X9] :
( ndr1_0
=> ( ~ c1_1(X9)
| c3_1(X9)
| c2_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp1
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| c2_1(X7)
| c0_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp0
| hskp28
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp0
| ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| ~ c0_1(X4)
| c1_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a20)
& c2_1(a20)
& c0_1(a20)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a8)
& c2_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a2)
& c1_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c2_1(a65)
& ~ c1_1(a65)
& c3_1(a65)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a57)
& ~ c1_1(a57)
& ~ c0_1(a57)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a54)
& c3_1(a54)
& c0_1(a54)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a52)
& ~ c0_1(a52)
& c3_1(a52)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a42)
& ~ c1_1(a42)
& c0_1(a42)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a40)
& ~ c2_1(a40)
& ~ c0_1(a40)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a39)
& ~ c0_1(a39)
& c2_1(a39)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a36)
& c1_1(a36)
& c0_1(a36)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a35)
& ~ c0_1(a35)
& c1_1(a35)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a33)
& c2_1(a33)
& c1_1(a33)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a32)
& c2_1(a32)
& c0_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a30)
& c3_1(a30)
& c2_1(a30)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a29)
& ~ c2_1(a29)
& c1_1(a29)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a28)
& c3_1(a28)
& c2_1(a28)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a26)
& ~ c0_1(a26)
& c3_1(a26)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a21)
& ~ c2_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a17)
& ~ c0_1(a17)
& c1_1(a17)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a15)
& ~ c2_1(a15)
& ~ c1_1(a15)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a13)
& c2_1(a13)
& c1_1(a13)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a12)
& c1_1(a12)
& c0_1(a12)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a10)
& ~ c1_1(a10)
& c2_1(a10)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a9)
& ~ c1_1(a9)
& ~ c0_1(a9)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a7)
& c3_1(a7)
& c1_1(a7)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a6)
& c3_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a5)
& ~ c0_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a4)
& c2_1(a4)
& c0_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a1)
& ~ c1_1(a1)
& c0_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f991,plain,
( ~ spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f19,f294,f262]) ).
fof(f262,plain,
( spl0_7
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f19,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f990,plain,
( ~ spl0_7
| spl0_151 ),
inference(avatar_split_clause,[],[f20,f987,f262]) ).
fof(f20,plain,
( c0_1(a6)
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f985,plain,
( ~ spl0_7
| spl0_150 ),
inference(avatar_split_clause,[],[f21,f982,f262]) ).
fof(f21,plain,
( c3_1(a6)
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f980,plain,
( ~ spl0_7
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f22,f977,f262]) ).
fof(f22,plain,
( ~ c2_1(a6)
| ~ hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f974,plain,
( ~ spl0_50
| spl0_148 ),
inference(avatar_split_clause,[],[f24,f971,f448]) ).
fof(f448,plain,
( spl0_50
<=> hskp4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f24,plain,
( c1_1(a7)
| ~ hskp4 ),
inference(cnf_transformation,[],[f6]) ).
fof(f969,plain,
( ~ spl0_50
| spl0_147 ),
inference(avatar_split_clause,[],[f25,f966,f448]) ).
fof(f25,plain,
( c3_1(a7)
| ~ hskp4 ),
inference(cnf_transformation,[],[f6]) ).
fof(f964,plain,
( ~ spl0_50
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f26,f961,f448]) ).
fof(f26,plain,
( ~ c0_1(a7)
| ~ hskp4 ),
inference(cnf_transformation,[],[f6]) ).
fof(f958,plain,
( ~ spl0_3
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f28,f955,f244]) ).
fof(f244,plain,
( spl0_3
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f28,plain,
( ~ c0_1(a9)
| ~ hskp5 ),
inference(cnf_transformation,[],[f6]) ).
fof(f953,plain,
( ~ spl0_3
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f29,f950,f244]) ).
fof(f29,plain,
( ~ c1_1(a9)
| ~ hskp5 ),
inference(cnf_transformation,[],[f6]) ).
fof(f948,plain,
( ~ spl0_3
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f30,f945,f244]) ).
fof(f30,plain,
( ~ c2_1(a9)
| ~ hskp5 ),
inference(cnf_transformation,[],[f6]) ).
fof(f942,plain,
( ~ spl0_5
| spl0_142 ),
inference(avatar_split_clause,[],[f32,f939,f253]) ).
fof(f253,plain,
( spl0_5
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f32,plain,
( c2_1(a10)
| ~ hskp6 ),
inference(cnf_transformation,[],[f6]) ).
fof(f937,plain,
( ~ spl0_5
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f33,f934,f253]) ).
fof(f33,plain,
( ~ c1_1(a10)
| ~ hskp6 ),
inference(cnf_transformation,[],[f6]) ).
fof(f932,plain,
( ~ spl0_5
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f34,f929,f253]) ).
fof(f34,plain,
( ~ c3_1(a10)
| ~ hskp6 ),
inference(cnf_transformation,[],[f6]) ).
fof(f926,plain,
( ~ spl0_11
| spl0_139 ),
inference(avatar_split_clause,[],[f36,f923,f280]) ).
fof(f280,plain,
( spl0_11
<=> hskp7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f36,plain,
( c0_1(a12)
| ~ hskp7 ),
inference(cnf_transformation,[],[f6]) ).
fof(f921,plain,
( ~ spl0_11
| spl0_138 ),
inference(avatar_split_clause,[],[f37,f918,f280]) ).
fof(f37,plain,
( c1_1(a12)
| ~ hskp7 ),
inference(cnf_transformation,[],[f6]) ).
fof(f916,plain,
( ~ spl0_11
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f38,f913,f280]) ).
fof(f38,plain,
( ~ c3_1(a12)
| ~ hskp7 ),
inference(cnf_transformation,[],[f6]) ).
fof(f910,plain,
( ~ spl0_38
| spl0_136 ),
inference(avatar_split_clause,[],[f40,f907,f397]) ).
fof(f397,plain,
( spl0_38
<=> hskp8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f40,plain,
( c1_1(a13)
| ~ hskp8 ),
inference(cnf_transformation,[],[f6]) ).
fof(f905,plain,
( ~ spl0_38
| spl0_135 ),
inference(avatar_split_clause,[],[f41,f902,f397]) ).
fof(f41,plain,
( c2_1(a13)
| ~ hskp8 ),
inference(cnf_transformation,[],[f6]) ).
fof(f900,plain,
( ~ spl0_38
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f42,f897,f397]) ).
fof(f42,plain,
( ~ c0_1(a13)
| ~ hskp8 ),
inference(cnf_transformation,[],[f6]) ).
fof(f894,plain,
( ~ spl0_17
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f44,f891,f306]) ).
fof(f306,plain,
( spl0_17
<=> hskp9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f44,plain,
( ~ c1_1(a15)
| ~ hskp9 ),
inference(cnf_transformation,[],[f6]) ).
fof(f889,plain,
( ~ spl0_17
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f45,f886,f306]) ).
fof(f45,plain,
( ~ c2_1(a15)
| ~ hskp9 ),
inference(cnf_transformation,[],[f6]) ).
fof(f884,plain,
( ~ spl0_17
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f46,f881,f306]) ).
fof(f46,plain,
( ~ c3_1(a15)
| ~ hskp9 ),
inference(cnf_transformation,[],[f6]) ).
fof(f862,plain,
( ~ spl0_52
| spl0_127 ),
inference(avatar_split_clause,[],[f52,f859,f456]) ).
fof(f456,plain,
( spl0_52
<=> hskp11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f52,plain,
( c0_1(a21)
| ~ hskp11 ),
inference(cnf_transformation,[],[f6]) ).
fof(f857,plain,
( ~ spl0_52
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f53,f854,f456]) ).
fof(f53,plain,
( ~ c2_1(a21)
| ~ hskp11 ),
inference(cnf_transformation,[],[f6]) ).
fof(f852,plain,
( ~ spl0_52
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f54,f849,f456]) ).
fof(f54,plain,
( ~ c3_1(a21)
| ~ hskp11 ),
inference(cnf_transformation,[],[f6]) ).
fof(f846,plain,
( ~ spl0_4
| spl0_124 ),
inference(avatar_split_clause,[],[f56,f843,f249]) ).
fof(f249,plain,
( spl0_4
<=> hskp12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f56,plain,
( c1_1(a24)
| ~ hskp12 ),
inference(cnf_transformation,[],[f6]) ).
fof(f841,plain,
( ~ spl0_4
| spl0_123 ),
inference(avatar_split_clause,[],[f57,f838,f249]) ).
fof(f57,plain,
( c3_1(a24)
| ~ hskp12 ),
inference(cnf_transformation,[],[f6]) ).
fof(f836,plain,
( ~ spl0_4
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f58,f833,f249]) ).
fof(f58,plain,
( ~ c2_1(a24)
| ~ hskp12 ),
inference(cnf_transformation,[],[f6]) ).
fof(f831,plain,
( ~ spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f59,f294,f275]) ).
fof(f275,plain,
( spl0_10
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f59,plain,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[],[f6]) ).
fof(f814,plain,
( ~ spl0_22
| spl0_118 ),
inference(avatar_split_clause,[],[f64,f811,f327]) ).
fof(f327,plain,
( spl0_22
<=> hskp14 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f64,plain,
( c2_1(a28)
| ~ hskp14 ),
inference(cnf_transformation,[],[f6]) ).
fof(f809,plain,
( ~ spl0_22
| spl0_117 ),
inference(avatar_split_clause,[],[f65,f806,f327]) ).
fof(f65,plain,
( c3_1(a28)
| ~ hskp14 ),
inference(cnf_transformation,[],[f6]) ).
fof(f804,plain,
( ~ spl0_22
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f66,f801,f327]) ).
fof(f66,plain,
( ~ c0_1(a28)
| ~ hskp14 ),
inference(cnf_transformation,[],[f6]) ).
fof(f798,plain,
( ~ spl0_19
| spl0_115 ),
inference(avatar_split_clause,[],[f68,f795,f314]) ).
fof(f314,plain,
( spl0_19
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f68,plain,
( c1_1(a29)
| ~ hskp15 ),
inference(cnf_transformation,[],[f6]) ).
fof(f793,plain,
( ~ spl0_19
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f69,f790,f314]) ).
fof(f69,plain,
( ~ c2_1(a29)
| ~ hskp15 ),
inference(cnf_transformation,[],[f6]) ).
fof(f788,plain,
( ~ spl0_19
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f70,f785,f314]) ).
fof(f70,plain,
( ~ c3_1(a29)
| ~ hskp15 ),
inference(cnf_transformation,[],[f6]) ).
fof(f782,plain,
( ~ spl0_29
| spl0_112 ),
inference(avatar_split_clause,[],[f72,f779,f360]) ).
fof(f360,plain,
( spl0_29
<=> hskp16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f72,plain,
( c2_1(a30)
| ~ hskp16 ),
inference(cnf_transformation,[],[f6]) ).
fof(f777,plain,
( ~ spl0_29
| spl0_111 ),
inference(avatar_split_clause,[],[f73,f774,f360]) ).
fof(f73,plain,
( c3_1(a30)
| ~ hskp16 ),
inference(cnf_transformation,[],[f6]) ).
fof(f772,plain,
( ~ spl0_29
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f74,f769,f360]) ).
fof(f74,plain,
( ~ c1_1(a30)
| ~ hskp16 ),
inference(cnf_transformation,[],[f6]) ).
fof(f734,plain,
( ~ spl0_24
| spl0_103 ),
inference(avatar_split_clause,[],[f84,f731,f337]) ).
fof(f337,plain,
( spl0_24
<=> hskp19 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f84,plain,
( c1_1(a35)
| ~ hskp19 ),
inference(cnf_transformation,[],[f6]) ).
fof(f729,plain,
( ~ spl0_24
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f85,f726,f337]) ).
fof(f85,plain,
( ~ c0_1(a35)
| ~ hskp19 ),
inference(cnf_transformation,[],[f6]) ).
fof(f724,plain,
( ~ spl0_24
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f86,f721,f337]) ).
fof(f86,plain,
( ~ c3_1(a35)
| ~ hskp19 ),
inference(cnf_transformation,[],[f6]) ).
fof(f718,plain,
( ~ spl0_49
| spl0_100 ),
inference(avatar_split_clause,[],[f88,f715,f444]) ).
fof(f444,plain,
( spl0_49
<=> hskp20 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f88,plain,
( c0_1(a36)
| ~ hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f713,plain,
( ~ spl0_49
| spl0_99 ),
inference(avatar_split_clause,[],[f89,f710,f444]) ).
fof(f89,plain,
( c1_1(a36)
| ~ hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f708,plain,
( ~ spl0_49
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f90,f705,f444]) ).
fof(f90,plain,
( ~ c2_1(a36)
| ~ hskp20 ),
inference(cnf_transformation,[],[f6]) ).
fof(f702,plain,
( ~ spl0_1
| spl0_97 ),
inference(avatar_split_clause,[],[f92,f699,f236]) ).
fof(f236,plain,
( spl0_1
<=> hskp21 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f92,plain,
( c2_1(a39)
| ~ hskp21 ),
inference(cnf_transformation,[],[f6]) ).
fof(f697,plain,
( ~ spl0_1
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f93,f694,f236]) ).
fof(f93,plain,
( ~ c0_1(a39)
| ~ hskp21 ),
inference(cnf_transformation,[],[f6]) ).
fof(f692,plain,
( ~ spl0_1
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f94,f689,f236]) ).
fof(f94,plain,
( ~ c3_1(a39)
| ~ hskp21 ),
inference(cnf_transformation,[],[f6]) ).
fof(f686,plain,
( ~ spl0_44
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f96,f683,f424]) ).
fof(f424,plain,
( spl0_44
<=> hskp22 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f96,plain,
( ~ c0_1(a40)
| ~ hskp22 ),
inference(cnf_transformation,[],[f6]) ).
fof(f681,plain,
( ~ spl0_44
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f97,f678,f424]) ).
fof(f97,plain,
( ~ c2_1(a40)
| ~ hskp22 ),
inference(cnf_transformation,[],[f6]) ).
fof(f654,plain,
( ~ spl0_2
| spl0_88 ),
inference(avatar_split_clause,[],[f104,f651,f240]) ).
fof(f240,plain,
( spl0_2
<=> hskp24 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f104,plain,
( c3_1(a52)
| ~ hskp24 ),
inference(cnf_transformation,[],[f6]) ).
fof(f649,plain,
( ~ spl0_2
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f105,f646,f240]) ).
fof(f105,plain,
( ~ c0_1(a52)
| ~ hskp24 ),
inference(cnf_transformation,[],[f6]) ).
fof(f644,plain,
( ~ spl0_2
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f106,f641,f240]) ).
fof(f106,plain,
( ~ c2_1(a52)
| ~ hskp24 ),
inference(cnf_transformation,[],[f6]) ).
fof(f638,plain,
( ~ spl0_16
| spl0_85 ),
inference(avatar_split_clause,[],[f108,f635,f302]) ).
fof(f302,plain,
( spl0_16
<=> hskp25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f108,plain,
( c0_1(a54)
| ~ hskp25 ),
inference(cnf_transformation,[],[f6]) ).
fof(f633,plain,
( ~ spl0_16
| spl0_84 ),
inference(avatar_split_clause,[],[f109,f630,f302]) ).
fof(f109,plain,
( c3_1(a54)
| ~ hskp25 ),
inference(cnf_transformation,[],[f6]) ).
fof(f628,plain,
( ~ spl0_16
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f110,f625,f302]) ).
fof(f110,plain,
( ~ c1_1(a54)
| ~ hskp25 ),
inference(cnf_transformation,[],[f6]) ).
fof(f617,plain,
( ~ spl0_8
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f113,f614,f266]) ).
fof(f266,plain,
( spl0_8
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f113,plain,
( ~ c1_1(a57)
| ~ hskp26 ),
inference(cnf_transformation,[],[f6]) ).
fof(f612,plain,
( ~ spl0_8
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f114,f609,f266]) ).
fof(f114,plain,
( ~ c3_1(a57)
| ~ hskp26 ),
inference(cnf_transformation,[],[f6]) ).
fof(f590,plain,
( ~ spl0_20
| spl0_76 ),
inference(avatar_split_clause,[],[f120,f587,f319]) ).
fof(f319,plain,
( spl0_20
<=> hskp28 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f120,plain,
( c0_1(a2)
| ~ hskp28 ),
inference(cnf_transformation,[],[f6]) ).
fof(f585,plain,
( ~ spl0_20
| spl0_75 ),
inference(avatar_split_clause,[],[f121,f582,f319]) ).
fof(f121,plain,
( c1_1(a2)
| ~ hskp28 ),
inference(cnf_transformation,[],[f6]) ).
fof(f580,plain,
( ~ spl0_20
| spl0_74 ),
inference(avatar_split_clause,[],[f122,f577,f319]) ).
fof(f122,plain,
( c2_1(a2)
| ~ hskp28 ),
inference(cnf_transformation,[],[f6]) ).
fof(f558,plain,
( ~ spl0_12
| spl0_70 ),
inference(avatar_split_clause,[],[f128,f555,f284]) ).
fof(f284,plain,
( spl0_12
<=> hskp30 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f128,plain,
( c0_1(a20)
| ~ hskp30 ),
inference(cnf_transformation,[],[f6]) ).
fof(f553,plain,
( ~ spl0_12
| spl0_69 ),
inference(avatar_split_clause,[],[f129,f550,f284]) ).
fof(f129,plain,
( c2_1(a20)
| ~ hskp30 ),
inference(cnf_transformation,[],[f6]) ).
fof(f548,plain,
( ~ spl0_12
| spl0_68 ),
inference(avatar_split_clause,[],[f130,f545,f284]) ).
fof(f130,plain,
( c3_1(a20)
| ~ hskp30 ),
inference(cnf_transformation,[],[f6]) ).
fof(f542,plain,
( ~ spl0_13
| spl0_67 ),
inference(avatar_split_clause,[],[f132,f539,f289]) ).
fof(f289,plain,
( spl0_13
<=> hskp31 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f132,plain,
( c0_1(a76)
| ~ hskp31 ),
inference(cnf_transformation,[],[f6]) ).
fof(f537,plain,
( ~ spl0_13
| spl0_66 ),
inference(avatar_split_clause,[],[f133,f534,f289]) ).
fof(f133,plain,
( c1_1(a76)
| ~ hskp31 ),
inference(cnf_transformation,[],[f6]) ).
fof(f532,plain,
( ~ spl0_13
| spl0_65 ),
inference(avatar_split_clause,[],[f134,f529,f289]) ).
fof(f134,plain,
( c3_1(a76)
| ~ hskp31 ),
inference(cnf_transformation,[],[f6]) ).
fof(f527,plain,
( spl0_64
| spl0_48
| ~ spl0_14
| spl0_28 ),
inference(avatar_split_clause,[],[f203,f357,f294,f441,f523]) ).
fof(f203,plain,
! [X101,X99,X100] :
( ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99)
| ~ ndr1_0
| ~ c3_1(X100)
| ~ c2_1(X100)
| c0_1(X100)
| c2_1(X101)
| c1_1(X101)
| c0_1(X101) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
! [X101,X99,X100] :
( ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99)
| ~ ndr1_0
| ~ c3_1(X100)
| ~ c2_1(X100)
| c0_1(X100)
| ~ ndr1_0
| c2_1(X101)
| c1_1(X101)
| c0_1(X101)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f512,plain,
( spl0_61
| spl0_58
| ~ spl0_14
| spl0_54 ),
inference(avatar_split_clause,[],[f207,f467,f294,f493,f510]) ).
fof(f207,plain,
! [X90,X91,X89] :
( ~ c2_1(X89)
| c3_1(X89)
| c0_1(X89)
| ~ ndr1_0
| ~ c1_1(X90)
| c2_1(X90)
| c0_1(X90)
| ~ c2_1(X91)
| c1_1(X91)
| c0_1(X91) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f140,plain,
! [X90,X91,X89] :
( ~ c2_1(X89)
| c3_1(X89)
| c0_1(X89)
| ~ ndr1_0
| ~ c1_1(X90)
| c2_1(X90)
| c0_1(X90)
| ~ ndr1_0
| ~ c2_1(X91)
| c1_1(X91)
| c0_1(X91)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f504,plain,
( spl0_59
| ~ spl0_14
| spl0_56
| spl0_50 ),
inference(avatar_split_clause,[],[f209,f448,f480,f294,f501]) ).
fof(f209,plain,
! [X86,X85] :
( hskp4
| ~ c3_1(X85)
| c2_1(X85)
| c0_1(X85)
| ~ ndr1_0
| c3_1(X86)
| c2_1(X86)
| c0_1(X86) ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f142,plain,
! [X86,X85] :
( hskp4
| ~ c3_1(X85)
| c2_1(X85)
| c0_1(X85)
| ~ ndr1_0
| c3_1(X86)
| c2_1(X86)
| c0_1(X86)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f499,plain,
( spl0_58
| ~ spl0_14
| spl0_55
| spl0_5 ),
inference(avatar_split_clause,[],[f210,f253,f475,f294,f493]) ).
fof(f210,plain,
! [X82,X83] :
( hskp6
| ~ c1_1(X82)
| c3_1(X82)
| c0_1(X82)
| ~ ndr1_0
| ~ c1_1(X83)
| c2_1(X83)
| c0_1(X83) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
! [X82,X83] :
( hskp6
| ~ c1_1(X82)
| c3_1(X82)
| c0_1(X82)
| ~ ndr1_0
| ~ c1_1(X83)
| c2_1(X83)
| c0_1(X83)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f498,plain,
( spl0_58
| spl0_46
| ~ spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f211,f324,f294,f432,f493]) ).
fof(f211,plain,
! [X80,X81,X79] :
( ~ c3_1(X79)
| ~ c1_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0
| ~ c1_1(X80)
| ~ c0_1(X80)
| c3_1(X80)
| ~ c1_1(X81)
| c2_1(X81)
| c0_1(X81) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
! [X80,X81,X79] :
( ~ c3_1(X79)
| ~ c1_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0
| ~ c1_1(X80)
| ~ c0_1(X80)
| c3_1(X80)
| ~ ndr1_0
| ~ c1_1(X81)
| c2_1(X81)
| c0_1(X81)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f497,plain,
( spl0_58
| ~ spl0_14
| spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f212,f319,f311,f294,f493]) ).
fof(f212,plain,
! [X78,X77] :
( hskp28
| ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77)
| ~ ndr1_0
| ~ c1_1(X78)
| c2_1(X78)
| c0_1(X78) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
! [X78,X77] :
( hskp28
| ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c0_1(X77)
| ~ ndr1_0
| ~ c1_1(X78)
| c2_1(X78)
| c0_1(X78)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f491,plain,
( spl0_56
| spl0_53
| ~ spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f213,f298,f294,f461,f480]) ).
fof(f213,plain,
! [X72,X73,X74] :
( ~ c3_1(X72)
| ~ c2_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0
| ~ c2_1(X73)
| ~ c1_1(X73)
| c0_1(X73)
| ~ c3_1(X74)
| c2_1(X74)
| c0_1(X74) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f149,plain,
! [X72,X73,X74] :
( ~ c3_1(X72)
| ~ c2_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0
| ~ c2_1(X73)
| ~ c1_1(X73)
| c0_1(X73)
| ~ ndr1_0
| ~ c3_1(X74)
| c2_1(X74)
| c0_1(X74)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f490,plain,
( spl0_56
| ~ spl0_14
| spl0_40
| spl0_11 ),
inference(avatar_split_clause,[],[f214,f280,f408,f294,f480]) ).
fof(f214,plain,
! [X70,X71] :
( hskp7
| ~ c0_1(X70)
| c3_1(X70)
| c1_1(X70)
| ~ ndr1_0
| ~ c3_1(X71)
| c2_1(X71)
| c0_1(X71) ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
! [X70,X71] :
( hskp7
| ~ c0_1(X70)
| c3_1(X70)
| c1_1(X70)
| ~ ndr1_0
| ~ c3_1(X71)
| c2_1(X71)
| c0_1(X71)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f484,plain,
( spl0_56
| ~ spl0_14
| spl0_46
| spl0_3 ),
inference(avatar_split_clause,[],[f216,f244,f432,f294,f480]) ).
fof(f216,plain,
! [X66,X67] :
( hskp5
| ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66)
| ~ ndr1_0
| ~ c3_1(X67)
| c2_1(X67)
| c0_1(X67) ),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f152,plain,
! [X66,X67] :
( hskp5
| ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66)
| ~ ndr1_0
| ~ c3_1(X67)
| c2_1(X67)
| c0_1(X67)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f483,plain,
( spl0_56
| ~ spl0_14
| spl0_21
| spl0_3 ),
inference(avatar_split_clause,[],[f217,f244,f324,f294,f480]) ).
fof(f217,plain,
! [X65,X64] :
( hskp5
| ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0
| ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65) ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f153,plain,
! [X65,X64] :
( hskp5
| ~ c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0
| ~ c3_1(X65)
| c2_1(X65)
| c0_1(X65)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f482,plain,
( ~ spl0_14
| spl0_56
| spl0_12
| spl0_52 ),
inference(avatar_split_clause,[],[f154,f456,f284,f480,f294]) ).
fof(f154,plain,
! [X63] :
( hskp11
| hskp30
| ~ c3_1(X63)
| c2_1(X63)
| c0_1(X63)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f478,plain,
( ~ spl0_14
| spl0_55
| spl0_12
| spl0_38 ),
inference(avatar_split_clause,[],[f155,f397,f284,f475,f294]) ).
fof(f155,plain,
! [X62] :
( hskp8
| hskp30
| ~ c1_1(X62)
| c3_1(X62)
| c0_1(X62)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f477,plain,
( ~ spl0_14
| spl0_55
| spl0_4 ),
inference(avatar_split_clause,[],[f156,f249,f475,f294]) ).
fof(f156,plain,
! [X61] :
( hskp12
| ~ c1_1(X61)
| c3_1(X61)
| c0_1(X61)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f473,plain,
( spl0_54
| ~ spl0_14
| spl0_36
| spl0_38 ),
inference(avatar_split_clause,[],[f218,f397,f390,f294,f467]) ).
fof(f218,plain,
! [X59,X60] :
( hskp8
| ~ c3_1(X59)
| ~ c2_1(X59)
| c1_1(X59)
| ~ ndr1_0
| ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X59,X60] :
( hskp8
| ~ c3_1(X59)
| ~ c2_1(X59)
| c1_1(X59)
| ~ ndr1_0
| ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f472,plain,
( spl0_54
| spl0_35
| ~ spl0_14
| spl0_46 ),
inference(avatar_split_clause,[],[f219,f432,f294,f386,f467]) ).
fof(f219,plain,
! [X58,X56,X57] :
( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56)
| ~ ndr1_0
| ~ c0_1(X57)
| c3_1(X57)
| c2_1(X57)
| ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58) ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
! [X58,X56,X57] :
( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56)
| ~ ndr1_0
| ~ c0_1(X57)
| c3_1(X57)
| c2_1(X57)
| ~ ndr1_0
| ~ c2_1(X58)
| c3_1(X58)
| c0_1(X58)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f470,plain,
( ~ spl0_14
| spl0_54
| spl0_7
| spl0_22 ),
inference(avatar_split_clause,[],[f160,f327,f262,f467,f294]) ).
fof(f160,plain,
! [X53] :
( hskp14
| hskp3
| ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f469,plain,
( ~ spl0_14
| spl0_54
| spl0_19
| spl0_29 ),
inference(avatar_split_clause,[],[f161,f360,f314,f467,f294]) ).
fof(f161,plain,
! [X52] :
( hskp16
| hskp15
| ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f465,plain,
( spl0_53
| spl0_51
| ~ spl0_14
| spl0_40 ),
inference(avatar_split_clause,[],[f221,f408,f294,f453,f461]) ).
fof(f221,plain,
! [X50,X51,X49] :
( ~ c0_1(X49)
| c3_1(X49)
| c1_1(X49)
| ~ ndr1_0
| ~ c3_1(X50)
| ~ c1_1(X50)
| c0_1(X50)
| ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ),
inference(duplicate_literal_removal,[],[f162]) ).
fof(f162,plain,
! [X50,X51,X49] :
( ~ c0_1(X49)
| c3_1(X49)
| c1_1(X49)
| ~ ndr1_0
| ~ c3_1(X50)
| ~ c1_1(X50)
| c0_1(X50)
| ~ ndr1_0
| ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f464,plain,
( spl0_53
| ~ spl0_14
| spl0_46
| spl0_12 ),
inference(avatar_split_clause,[],[f222,f284,f432,f294,f461]) ).
fof(f222,plain,
! [X48,X47] :
( hskp30
| ~ c1_1(X47)
| ~ c0_1(X47)
| c3_1(X47)
| ~ ndr1_0
| ~ c2_1(X48)
| ~ c1_1(X48)
| c0_1(X48) ),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f163,plain,
! [X48,X47] :
( hskp30
| ~ c1_1(X47)
| ~ c0_1(X47)
| c3_1(X47)
| ~ ndr1_0
| ~ c2_1(X48)
| ~ c1_1(X48)
| c0_1(X48)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f459,plain,
( ~ spl0_14
| spl0_51
| spl0_52
| spl0_24 ),
inference(avatar_split_clause,[],[f165,f337,f456,f453,f294]) ).
fof(f165,plain,
! [X45] :
( hskp19
| hskp11
| ~ c3_1(X45)
| ~ c1_1(X45)
| c0_1(X45)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f451,plain,
( ~ spl0_14
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f166,f448,f444,f441,f294]) ).
fof(f166,plain,
! [X44] :
( hskp4
| hskp20
| ~ c3_1(X44)
| ~ c2_1(X44)
| c0_1(X44)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f439,plain,
( spl0_45
| spl0_47
| ~ spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f223,f311,f294,f437,f429]) ).
fof(f223,plain,
! [X41,X42,X43] :
( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0
| ~ c2_1(X42)
| ~ c0_1(X42)
| c1_1(X42)
| c3_1(X43)
| c2_1(X43)
| c1_1(X43) ),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
! [X41,X42,X43] :
( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41)
| ~ ndr1_0
| ~ c2_1(X42)
| ~ c0_1(X42)
| c1_1(X42)
| ~ ndr1_0
| c3_1(X43)
| c2_1(X43)
| c1_1(X43)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f435,plain,
( spl0_45
| ~ spl0_14
| spl0_36
| spl0_38 ),
inference(avatar_split_clause,[],[f224,f397,f390,f294,f429]) ).
fof(f224,plain,
! [X40,X39] :
( hskp8
| ~ c3_1(X39)
| ~ c2_1(X39)
| c1_1(X39)
| ~ ndr1_0
| c3_1(X40)
| c2_1(X40)
| c1_1(X40) ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
! [X40,X39] :
( hskp8
| ~ c3_1(X39)
| ~ c2_1(X39)
| c1_1(X39)
| ~ ndr1_0
| c3_1(X40)
| c2_1(X40)
| c1_1(X40)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f434,plain,
( spl0_45
| ~ spl0_14
| spl0_46
| spl0_1 ),
inference(avatar_split_clause,[],[f225,f236,f432,f294,f429]) ).
fof(f225,plain,
! [X38,X37] :
( hskp21
| ~ c1_1(X37)
| ~ c0_1(X37)
| c3_1(X37)
| ~ ndr1_0
| c3_1(X38)
| c2_1(X38)
| c1_1(X38) ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
! [X38,X37] :
( hskp21
| ~ c1_1(X37)
| ~ c0_1(X37)
| c3_1(X37)
| ~ ndr1_0
| c3_1(X38)
| c2_1(X38)
| c1_1(X38)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f427,plain,
( spl0_42
| ~ spl0_14
| spl0_21
| spl0_44 ),
inference(avatar_split_clause,[],[f226,f424,f324,f294,f416]) ).
fof(f226,plain,
! [X36,X35] :
( hskp22
| ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35)
| ~ ndr1_0
| ~ c0_1(X36)
| c2_1(X36)
| c1_1(X36) ),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f170,plain,
! [X36,X35] :
( hskp22
| ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35)
| ~ ndr1_0
| ~ c0_1(X36)
| c2_1(X36)
| c1_1(X36)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f406,plain,
( spl0_39
| ~ spl0_14
| spl0_34
| spl0_17 ),
inference(avatar_split_clause,[],[f228,f306,f381,f294,f403]) ).
fof(f228,plain,
! [X29,X30] :
( hskp9
| ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29)
| ~ ndr1_0
| ~ c2_1(X30)
| c3_1(X30)
| c1_1(X30) ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f174,plain,
! [X29,X30] :
( hskp9
| ~ c1_1(X29)
| c3_1(X29)
| c2_1(X29)
| ~ ndr1_0
| ~ c2_1(X30)
| c3_1(X30)
| c1_1(X30)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f401,plain,
( spl0_37
| spl0_21
| ~ spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f230,f311,f294,f324,f394]) ).
fof(f230,plain,
! [X26,X24,X25] :
( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24)
| ~ ndr1_0
| ~ c3_1(X25)
| ~ c1_1(X25)
| ~ c0_1(X25)
| ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f176,plain,
! [X26,X24,X25] :
( ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24)
| ~ ndr1_0
| ~ c3_1(X25)
| ~ c1_1(X25)
| ~ c0_1(X25)
| ~ ndr1_0
| ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f400,plain,
( ~ spl0_14
| spl0_37
| spl0_38
| spl0_1 ),
inference(avatar_split_clause,[],[f177,f236,f397,f394,f294]) ).
fof(f177,plain,
! [X23] :
( hskp21
| hskp8
| ~ c3_1(X23)
| ~ c0_1(X23)
| c1_1(X23)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f392,plain,
( spl0_36
| ~ spl0_14
| spl0_33
| spl0_19 ),
inference(avatar_split_clause,[],[f231,f314,f377,f294,f390]) ).
fof(f231,plain,
! [X21,X22] :
( hskp15
| ~ c1_1(X21)
| ~ c0_1(X21)
| c2_1(X21)
| ~ ndr1_0
| ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22) ),
inference(duplicate_literal_removal,[],[f178]) ).
fof(f178,plain,
! [X21,X22] :
( hskp15
| ~ c1_1(X21)
| ~ c0_1(X21)
| c2_1(X21)
| ~ ndr1_0
| ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f388,plain,
( ~ spl0_14
| spl0_35
| spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f179,f240,f262,f386,f294]) ).
fof(f179,plain,
! [X20] :
( hskp24
| hskp3
| ~ c0_1(X20)
| c3_1(X20)
| c2_1(X20)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f384,plain,
( spl0_34
| ~ spl0_14
| spl0_18
| spl0_4 ),
inference(avatar_split_clause,[],[f232,f249,f311,f294,f381]) ).
fof(f232,plain,
! [X18,X19] :
( hskp12
| ~ c3_1(X18)
| ~ c2_1(X18)
| ~ c0_1(X18)
| ~ ndr1_0
| ~ c1_1(X19)
| c3_1(X19)
| c2_1(X19) ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f180,plain,
! [X18,X19] :
( hskp12
| ~ c3_1(X18)
| ~ c2_1(X18)
| ~ c0_1(X18)
| ~ ndr1_0
| ~ c1_1(X19)
| c3_1(X19)
| c2_1(X19)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f383,plain,
( ~ spl0_14
| spl0_34
| spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f181,f262,f302,f381,f294]) ).
fof(f181,plain,
! [X17] :
( hskp3
| hskp25
| ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f379,plain,
( ~ spl0_14
| spl0_33
| spl0_20
| spl0_8 ),
inference(avatar_split_clause,[],[f182,f266,f319,f377,f294]) ).
fof(f182,plain,
! [X16] :
( hskp26
| hskp28
| ~ c1_1(X16)
| ~ c0_1(X16)
| c2_1(X16)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f364,plain,
( ~ spl0_14
| spl0_28
| spl0_20
| spl0_11 ),
inference(avatar_split_clause,[],[f184,f280,f319,f357,f294]) ).
fof(f184,plain,
! [X13] :
( hskp7
| hskp28
| ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f363,plain,
( ~ spl0_14
| spl0_28
| spl0_29 ),
inference(avatar_split_clause,[],[f185,f360,f357,f294]) ).
fof(f185,plain,
! [X12] :
( hskp16
| ~ c3_1(X12)
| ~ c1_1(X12)
| c2_1(X12)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f355,plain,
( ~ spl0_14
| spl0_26
| spl0_20
| spl0_17 ),
inference(avatar_split_clause,[],[f186,f306,f319,f348,f294]) ).
fof(f186,plain,
! [X11] :
( hskp9
| hskp28
| ~ c2_1(X11)
| ~ c1_1(X11)
| ~ c0_1(X11)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f346,plain,
( spl0_21
| ~ spl0_14
| spl0_18
| spl0_1 ),
inference(avatar_split_clause,[],[f234,f236,f311,f294,f324]) ).
fof(f234,plain,
! [X8,X9] :
( hskp21
| ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8)
| ~ ndr1_0
| ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ),
inference(duplicate_literal_removal,[],[f188]) ).
fof(f188,plain,
! [X8,X9] :
( hskp21
| ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8)
| ~ ndr1_0
| ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f330,plain,
( ~ spl0_14
| spl0_21
| spl0_22
| spl0_2 ),
inference(avatar_split_clause,[],[f192,f240,f327,f324,f294]) ).
fof(f192,plain,
! [X4] :
( hskp24
| hskp14
| ~ c3_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f322,plain,
( ~ spl0_14
| spl0_18
| spl0_20
| spl0_13 ),
inference(avatar_split_clause,[],[f193,f289,f319,f311,f294]) ).
fof(f193,plain,
! [X3] :
( hskp31
| hskp28
| ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f309,plain,
( ~ spl0_14
| spl0_15
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f195,f306,f302,f298,f294]) ).
fof(f195,plain,
! [X1] :
( hskp9
| hskp25
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
( spl0_13
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f197,f240,f249,f289]) ).
fof(f197,plain,
( hskp24
| hskp12
| hskp31 ),
inference(cnf_transformation,[],[f6]) ).
fof(f287,plain,
( spl0_11
| spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f198,f266,f284,f280]) ).
fof(f198,plain,
( hskp26
| hskp30
| hskp7 ),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
( spl0_7
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f199,f275,f271,f262]) ).
fof(f199,plain,
( hskp13
| hskp2
| hskp3 ),
inference(cnf_transformation,[],[f6]) ).
fof(f247,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f202,f244,f240,f236]) ).
fof(f202,plain,
( hskp5
| hskp24
| hskp21 ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN465+1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 02:22:32 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (321)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (327)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (328)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (326)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (325)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (323)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (324)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.39 % (322)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 Detected minimum model sizes of [1]
% 0.22/0.39 Detected maximum model sizes of [32]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 Detected minimum model sizes of [1]
% 0.22/0.39 Detected maximum model sizes of [32]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 Detected minimum model sizes of [1]
% 0.22/0.39 Detected maximum model sizes of [32]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 Detected minimum model sizes of [1]
% 0.22/0.40 Detected maximum model sizes of [32]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [4]
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 % (327)First to succeed.
% 0.22/0.45 % (327)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (327)------------------------------
% 0.22/0.46 % (327)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.46 % (327)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (327)Memory used [KB]: 2095
% 0.22/0.46 % (327)Time elapsed: 0.065 s
% 0.22/0.46 % (327)Instructions burned: 107 (million)
% 0.22/0.46 % (327)------------------------------
% 0.22/0.46 % (327)------------------------------
% 0.22/0.46 % (321)Success in time 0.09 s
%------------------------------------------------------------------------------